How many questions from Current Electricity appear in JEE?

Current Electricity has appeared in 160 of the last 186 JEE Main and JEE Advanced papers — about 86% of them — contributing 309 questions in total across those papers.

Is Current Electricity an important chapter for JEE?

Judged by how often it is actually tested, it appears in roughly 86% of papers. Chapters above about 50% are effectively guaranteed to show up every session, so they repay thorough preparation; lower-frequency chapters are better treated as targeted revision.

Where do these Current Electricity questions come from?

Every question is from an official JEE Main or JEE Advanced paper, transcribed from the original paper and tagged to this chapter. Answers follow the official answer key.

Current Electricity JEE Previous Year Questions with Answers

Q1·PhysicsSingle correctJEE Advanced 2026

A metal wire of cross-sectional area 0.5 mm

^{2}

and length 100 m is connected across a battery of e.m.f. 2 V and internal resistance 1 Ω. The density, atomic mass and electrical conductivity of the metal are

6.35 \times 10^{3}

kg m

^{-3}

, 63.5 gm/mole and

2 \times 10^{8}

mho m

^{-1}

, respectively. Assuming one conduction electron per atom of the metal, the drift velocity (in mm s

^{-1}

) of the electrons in the wire is: [Take Avogadro's number as

6 \times 10^{23}

and charge of the electron as

1.6 \times 10^{-19}

C.]

(A)0.052
(B)0.104
(C)0.208
(D)0.156

Q2·PhysicsNumericalJEE Main 2026

The stored charge in the capacitor in steady state of the following circuit is ________

\mu

C.

Q3·PhysicsNumericalJEE Main 2026

Refer to the circuit diagram given below. The heat generated across the 6 Ω resistance in 100 second is

\frac{\alpha}{100}

J. The value of

\alpha

is _______. (Nearest integer)

Q4·PhysicsNumericalJEE Main 2026

Two cells of emfs 1 V and 2 V and internal resistance 2 Ω and 1 Ω, respectively connected in parallel, gave a current of 1 A through an external resistance. If the polarity of one cell is reversed, then value of current through the external resistance will be

\frac{\alpha}{5}

A. The value of

\alpha

is __________.

Q5·PhysicsNumericalJEE Main 2026

A moving coil of galvanometer when shunted with 2 Ω resistance gives a full scale deflection for a current of 500 mA. When a resistance of 470 Ω is connected in series it gives a full scale deflection for 10 V potential applied on it. The value of resistance of galvanometer coil is __________ Ω.

Q6·PhysicsSingle correctJEE Main 2026

Refer to the figure given below. The values of

I_1

,

I_2

and

I_3

are __________.

(A) $I_1 = 2.5$ A, $I_2 = 1.875$ A, $I_3 = 1.875$ A
(B) $I_1 = 1.875$ A, $I_2 = 2.5$ A, $I_3 = 1.875$ A
(C) $I_1 = 1.875$ A, $I_2 = 1.875$ A, $I_3 = 2.5$ A
(D) $I_1 = 2.5$ A, $I_2 = 2.5$ A, $I_3 = 1.875$ A

Q7·PhysicsSingle correctJEE Main 2026

Refer to the figure given below, current between terminals

A

and

B

is ______ A.

(A)12.5
(B)1.25
(C)7.5
(D)5

Q8·PhysicsNumericalJEE Main 2026

When an external resistance of 5 Ω is connected across terminals of a cell, a current of 0.25 A flows through it. When the 5 Ω resistor is replaced by a 2 Ω resistor, a current of 0.5 A flows through it. The internal resistance of the cell is ________ Ω.

Q9·PhysicsSingle correctJEE Main 2026

Under steady state condition the potential difference across the capacitor in the circuit is ________ V.

(A)0.5
(B)1.5
(C)0
(D)2

Q10·PhysicsSingle correctJEE Main 2026

The voltage and the current between

A

and

B

points shown in the circuit are ______.

(A)24 V, 12 A
(B)24 V, 4 A
(C)18 V, 12 A
(D)27 V, 4 A

Q11·PhysicsSingle correctJEE Main 2026

A voltmeter with internal resistance of

x

\Omega

can be used to measure upto 20 V. In order to increase its measuring range to 30 V, the required modification is to _____.

(A)connect resistor of $\frac{x}{2}$ $\Omega$ , in series with voltmeter.
(B)connect resistor of $\frac{x}{2}$ $\Omega$ , in parallel to voltmeter.
(C)connect a resistor of $x$ $\Omega$ in series with voltmeter.
(D)connect resistor of $2x$ $\Omega$ in parallel to voltmeter.

Q12·PhysicsSingle correctJEE Main 2026

Two resistors of

200\ \Omega

and

400\ \Omega

are connected in series with a battery of 100 V. A bulb rated at 200 V, 100 W is connected across the

400\ \Omega

resistance. The potential drop across the bulb is ______ V.

(A)25
(B)50
(C)66.6
(D)100

Q13·PhysicsSingle correctJEE Main 2026

A wheatstone bridge is initially at room temperature and all arms of the bridge have same value of resistances (

R_{1} = R_{2} = R_{3} = R_{4}

). When

R_{3}

resistance is heated to some temperature, its resistance value has gone up by 10%. The potential difference (

V_{a} - V_{b}

) (after

R_{3}

is heated) is _____V.

(A)1.05
(B)0
(C)0.95
(D)2

Q14·PhysicsSingle correctJEE Main 2026

In the potentiometer, when the cell in the secondary circuit is shunted with 4 Ω resistance, the balance is obtained at the length 120 cm of wire. Now when the same cell in shunted with 12 Ω resistance, the balance is shifted to a length of 180 cm. The internal resistance of cell is ___ Ω.

(A)3
(B)4
(C)12
(D)6

Q15·PhysicsNumericalJEE Main 2026

The equivalent resistance between the points

A

and

B

in the following circuit is

\frac{x}{5}\Omega

. The value of

x

is __________.

Q16·PhysicsSingle correctJEE Main 2026

For the two cells having same EMF E and internal resistance

r

, the current passing through the external resistor 6 Ω is same when both the cells are connected either in parallel or in series. The value of internal resistance

r

is __________ Ω.

(A)3
(B)4
(C)9
(D)6

Q17·PhysicsSingle correctJEE Main 2026

A regular hexagon is formed by six wires each of resistance r

\Omega

and the corners are joined to centre by wires of same resistance. If the current enters at one corner and leaves at the opposite corner, the equivalent resistance of the hexagon between the two opposite corners will be

(A) $\frac{4}{5}r$
(B) $\frac{5}{8}r$
(C) $\frac{3}{4}r$
(D) $\frac{3}{5}r$

Q18·PhysicsSingle correctJEE Main 2026

The reading of the ammeter (A) in steady state in the following circuit (assuming negligible internal resistance of the ammeter) is _______ A.

(A)2
(B)1
(C)1/2
(D)0

Q19·PhysicsSingle correctJEE Main 2026

Two resistors 2Ω and 3Ω are connected in the gaps of bridge as shown in figure. The null point is obtained with the contact of jockey at some point on wire XY. When an unknown resistor is connected in parallel with 3Ω resistor, the null point is shifted by 22.5 cm toward Y. The resistance of unknown resistor is____Ω.

(A)3
(B)2
(C)4
(D)1

Q20·PhysicsNumericalJEE Main 2026

In a meter bridge experiment to determine the value of unknown resistance, first the resistances 2

\Omega

and 3

\Omega

are connected in the left and right gaps of the bridge and the null point is obtained at a distance

l

cm from the left. Now when an unknown resistance x

\Omega

is connected in parallel to 3

\Omega

resistance, the null point is shifted by 10 cm to the right of wire. The value of unknown resistance x is ___

\Omega

.

Q21·PhysicsSingle correctJEE Main 2026

Two resistors of 100 Ω each are connected in series with a 9V battery. A voltmeter of 400Ω resistance is connected to measure the voltage drop across one of the resistors. The voltmeter reading is____V.

(A)3
(B)4.5
(C)4
(D)2

Q22·PhysicsSingle correctJEE Main 2026

A moving coil galvanometer of resistance 100

\Omega

shows a full scale deflection for a current of 1 mA. The value of resistance required to convert this galvanometer into an ammeter, showing full scale deflection for a current of 5 mA, is ______

\Omega

(A)25
(B)10
(C)0.5
(D)2.5

Q23·PhysicsSingle correctJEE Main 2026

A wire of uniform resistance λΩ/m is bent into a circle of radius r and another piece of wire with length 2r is connected between points A and B (AOB) as shown in figure. The equivalent resistance between points A and B is ______Ω.

(A) $\frac{3\pi\lambda r}{8}$
(B) $(\pi + 1)\,2r\lambda$
(C) $\frac{6\pi\lambda r}{3\pi + 16}$
(D) $2\pi\lambda r$

Q24·PhysicsSingle correctJEE Main 2026

An electric power line having total resistance of 2 Ω, delivers 1 kW of power of 250 V. The percentage efficiency of transmission line is _____ .

(A)96.9
(B)86.5
(C)100
(D)92.5

Q25·PhysicsNumericalJEE Main 2026

A cylindrical conductor of length 2m and area of cross-section 0.2 mm

^2

carries an electric current of 1.6 A when its ends are connected to a 2V battery. Mobility of electrons in the conductor is

\alpha \times 10^{-3}

m

^2

/V.s. The value of

\alpha

is : (electron concentration

= 5 \times 10^{28}

/m

^3

and electron charge

= 1.6 \times 10^{-19}

C)

Q26·PhysicsSingle correctJEE Main 2026

A meter bridge with two resistances

R_{1}

and

R_{2}

as shown in figure was balanced (null point) at 40 cm from the point P. The null point changed to 50 cm from the point P, when 16 Ω resistance is connected in parallel to

R_{2}

. The values of resistances

R_{1}

and

R_{2}

are_______.

(A) $R_{2} = 16\Omega, R_{1} = \frac{16}{3}\Omega$
(B) $R_{2} = 4\Omega, R_{1} = \frac{4}{3}\Omega$
(C) $R_{2} = 8\Omega, R_{1} = \frac{16}{3}\Omega$
(D) $R_{2} = 12\Omega, R_{1} = \frac{12}{3}\Omega$

Q27·PhysicsSingle correctJEE Main 2026

The total length of potentiometer wire AB is 50 cm in the arrangement as shown in figure. If P is the point where the galvanometer shows zero reading then the length AP is ………. cm.

(A)15
(B)30
(C)25
(D)20

Q28·PhysicsNumericalJEE Main 2026

The heat generated in 1 minute between points A and B in the given circuit, when a battery of 9V with internal resistance of 1 Ω is connected across these points is __________ J.

Q29·PhysicsSingle correctJEE Main 2026

The charge stored by the capacitor C in the given circuit in the steady state is ……….

\mu

C.

(A)12.5
(B)10
(C)7.5
(D)5

Q30·PhysicsSingle correctJEE Main 2026

A battery with EMF E and internal resistance r is connected across a resistance R. The power consumption in R will be maximum when :

(A) $R = 2r$
(B) $R = \frac{r}{2}$
(C) $R = \sqrt{2}r$
(D) $R = r$

Q31·PhysicsSingle correctJEE Main 2026

Two known resistance of R

\Omega

and 2R

\Omega

and and one unknown resistance X

\Omega

are connected in a circuit as shown in the figure. If the equivalent resistance between points A and B in the circuit is X

\Omega

, then the value of X is ________

\Omega

.

(A) $\left(\sqrt{3}-1\right)\text{R}$
(B) $\text{R}$
(C) $2\left(\sqrt{3}-1\right)\text{R}$
(D) $\left(\sqrt{3}+1\right)\text{R}$

Q32·PhysicsSingle correctJEE Main 2025

A wire of resistance R is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points A and B is

\dfrac{R}{n}

. The value of

n

is:

(A)16
(B)14
(C)10
(D)12

Q33·PhysicsSingle correctJEE Main 2025

There are 'n' number of identical electric bulbs, each is designed to draw a power p independently from the mains supply. They are now joined in series across the main supply. The total power drawn by the combination is:

(A) $np$
(B) $\dfrac{p}{n^2}$
(C) $\dfrac{p}{n}$
(D) $p$

Q34·PhysicsSingle correctJEE Main 2025

Current passing through a wire as function of time is given as

I(t)=0.02\,t+0.01

A. The charge that will flow through the wire from

t=1

s to

t=2

s is:

(A)0.06 C
(B)0.02 C
(C)0.07 C
(D)0.04 C

Q35·PhysicsSingle correctJEE Main 2025

From the combination of resistors with resistance values

R_1=R_2=R_3=5\ \Omega

and

R_4=10\ \Omega

, which of the following combination is the best circuit to get an equivalent resistance of

6\ \Omega

?

(A)(1)
(B)(2)
(C)(3)
(D)(4)

Q36·PhysicsIntegerJEE Main 2025

Two cells of emf 1 V and 2 V and internal resistance 2

\Omega

and 1

\Omega

, respectively, are connected in series with an external resistance of 6

\Omega

. The total current in the circuit is

I_1

. Now the same two cells in parallel configuration are connected to same external resistance. In this case, the total current drawn is

I_2

. The value of

\left(\dfrac{I_1}{I_2}\right)

is

\dfrac{x}{3}

. The value of

x

is __________.

Q37·PhysicsSingle correctJEE Main 2025

A wire of length 25 m and cross-sectional area

5\,\text{mm}^2

having resistivity of

2\times10^{-7}\,\Omega\,\text{m}

is bent into a complete circle. The resistance between diametrically opposite points will be:

(A)12.5 Ω
(B)50 Ω
(C)100 Ω
(D)25 Ω

Q38·PhysicsIntegerJEE Main 2025

In the circuit shown in the figure, a resistance of

150.4\,\Omega

is connected in series to an ammeter A of resistance

240\,\Omega

. A shunt resistance of

10\,\Omega

is connected in parallel with the ammeter, and the combination is connected across a 20 V source. The reading of the ammeter is __________ mA.

Q39·PhysicsSingle correctJEE Main 2025

A motor operating on 100 V draws a current of 1 A. If the efficiency of the motor is 91.6%, then the loss of power in units of cal/s is:

(A)4
(B)8.4
(C)2
(D)6.2

Q40·PhysicsSingle correctJEE Main 2025

The battery of a mobile phone is rated as 4.2 V, 5800 mAh. How much energy is stored in it when fully charged?

(A)43.8 kJ
(B)48.7 kJ
(C)87.7 kJ
(D)24.4 kJ

Q41·PhysicsSingle correctJEE Main 2025

The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have

(A)high thermal conductivity and low electrical conductivity
(B)high thermal conductivity and high electrical conductivity
(C)low thermal conductivity and high electrical conductivity
(D)low thermal conductivity and low electrical conductivity

Q42·PhysicsSingle correctJEE Main 2025

A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is

(A) $\frac{9}{8}$
(B) $\frac{8}{9}$
(C) $\frac{27}{32}$
(D) $\frac{32}{27}$

Q43·PhysicsSingle correctJEE Main 2025

Find the equivalent resistance between two ends of the following circuit.

(A) $r$
(B) $\frac{r}{6}$
(C) $\frac{r}{9}$
(D) $\frac{r}{3}$

Q44·PhysicsIntegerJEE Main 2025

The value of current I in the electrical circuit as given below, when potential at A is equal to the potential at B, will be ______ A.

Q45·PhysicsIntegerJEE Main 2025

A wire of resistance 9 Ω is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be _______ ohm.

Q46·PhysicsSingle correctJEE Main 2025

A galvanometer having a coil of resistance

30\ \Omega

need

20

mA of current for full-scale deflection. If a maximum current of

3

A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be

\dfrac{30}{X}\ \Omega

, where

X

is :

(A) $447$
(B) $298$
(C) $149$
(D) $596$

Q47·PhysicsSingle correctJEE Main 2025

Identify the valid statements relevant to the given circuit at the instant when the key is closed. A. There will be no current through resistor R. B. There will be maximum current in the connecting wires. C. Potential difference between the capacitor plates A and B is minimum. D. Charge on the capacitor plates is minimum. Choose the correct answer from the options given below :

(A)C, D only
(B)B, C, D only
(C)A, C only
(D)A, B, D only

Q48·PhysicsIntegerJEE Main 2025

At steady state the charge on the capacitor, as shown in the circuit below, is __________

\mu

C.

Q49·PhysicsSingle correctJEE Main 2025

The sliding contact of a potentiometer is in the middle of the potentiometer wire, which has resistance R_w = 1Ω, as shown in the figure. An external resistance R_e = 2Ω is connected via the sliding contact. The source emf is 0.9 V. The current i drawn from the source is:

(A)0.3 A
(B)1.35 A
(C)1.0 A
(D)0.9 A

Q50·PhysicsSingle correctJEE Main 2025

Given below are two statements. Statement I: The equivalent emf of two non-ideal batteries connected in parallel is smaller than either of the two emfs. Statement II: The equivalent internal resistance of two non-ideal batteries connected in parallel is smaller than either of the internal resistances of the two batteries. In the light of the above statements, choose the correct answer:

(A)Statement I is true but Statement II is false
(B)Both Statement I and Statement II are true
(C)Both Statement I and Statement II are false
(D)Statement I is false but Statement II is true

Q51·PhysicsSingle correctJEE Main 2025

Which of the following resistivity (ρ) versus temperature (T) curves is most suitable to be used in wire-bound standard resistors? (graphs (1)–(4) shown)

(A)(1)
(B)(2)
(C)(3)
(D)(4)

Q52·PhysicsNumericalJEE Main 2024

At room temperature (

27\,^{\circ}

C), the resistance of a heating element is

50\,\Omega

. The temperature coefficient of the material is

2.4\times10^{-4}\ ^{\circ}

C

^{-1}

. The temperature of the element, when its resistance is

62\,\Omega

, is _______

^{\circ}

C.

Q53·PhysicsSingle correctJEE Main 2024

The effective resistance between

A

and

B

, if resistance of each resistor is

R

, will be:

(A) $\dfrac{2}{3}R$
(B) $\dfrac{8R}{3}$
(C) $\dfrac{5R}{3}$
(D) $\dfrac{4R}{3}$

Q54·PhysicsSingle correctJEE Main 2024

The equivalent resistance between A and B is:

(A) $18\ \Omega$
(B) $25\ \Omega$
(C) $27\ \Omega$
(D) $19\ \Omega$

Q55·PhysicsNumericalJEE Main 2024

The current flowing through the

1\ \Omega

resistor is

\frac{n}{10}

A. The value of

n

is ______.

Q56·PhysicsSingle correctJEE Main 2024

A galvanometer has a coil of resistance 200

\Omega

with a full scale deflection at 20

\mu

A. The value of resistance to be added to use it as an ammeter of range (0–20) mA is:

(A)0.40 $\Omega$
(B)0.20 $\Omega$
(C)0.50 $\Omega$
(D)0.10 $\Omega$

Q57·PhysicsNumericalJEE Main 2024

To determine the resistance (

R

) of a wire, a circuit is designed as shown in the figure. The V-I characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown. The value of

R

is _______

\Omega

.

Q58·PhysicsSingle correctJEE Main 2024

Water boils in an electric kettle in 20 minutes after being switched on. Using the same main supply, the length of the heating element should be ________ to ________ times of its initial length if the water is to be boiled in 15 minutes.

(A)increased, $\dfrac{3}{4}$
(B)increased, $\dfrac{4}{3}$
(C)decreased, $\dfrac{3}{4}$
(D)decreased, $\dfrac{4}{3}$

Q59·PhysicsSingle correctJEE Main 2024

In the given circuit, the terminal potential difference of the cell is:

(A) $2\,V$
(B) $4\,V$
(C) $1.5\,V$
(D) $3\,V$

Q60·PhysicsNumericalJEE Main 2024

Resistance of a wire at

0\,^\circ C

,

100\,^\circ C

and

t\,^\circ C

is found to be

10\,\Omega

,

10.2\,\Omega

and

10.95\,\Omega

respectively. The temperature

t

in Kelvin scale is ___

Q61·PhysicsNumericalJEE Main 2024

A heater is designed to operate with a power of 1000 W in a 100 V line. It is connected in combination with a resistance of 10

\Omega

and a resistance R, to a 100 V mains as shown in figure. For the heater to operate at 62.5 W, the value of R should be ________

\Omega

.

Q62·PhysicsSingle correctJEE Main 2024

The number of electrons flowing per second in the filament of a 110 W bulb operating at 220 V is : (Given

e = 1.6 \times 10^{-19}

C)

(A) $31.25 \times 10^{17}$
(B) $6.25 \times 10^{18}$
(C) $6.25 \times 10^{17}$
(D) $1.25 \times 10^{19}$

Q63·PhysicsNumericalJEE Main 2024

In the given figure an ammeter A consists of a

240\,\Omega

coil connected in parallel to a

10\,\Omega

shunt. The reading of the ammeter is ______ mA.

Q64·PhysicsSingle correctJEE Main 2024

The value of the unknown resistance (

x

) for which the potential difference between

B

and

D

will be zero in the arrangement shown, is:

(A) $3\,\Omega$
(B) $9\,\Omega$
(C) $6\,\Omega$
(D) $42\,\Omega$

Q65·PhysicsNumericalJEE Main 2024

A wire of resistance

R

and radius

r

is stretched till its radius becomes

\tfrac{r}{2}

. If the resistance of the stretched wire becomes

xR

, then the value of

x

is _______.

Q66·PhysicsSingle correctJEE Main 2024

In the given figure

R_1 = 10\ \Omega

,

R_2 = 8\ \Omega

,

R_3 = 4\ \Omega

and

R_4 = 8\ \Omega

. The battery is ideal with emf 12 V. The equivalent resistance of the circuit and the current supplied by the battery are respectively:

(A) $12\ \Omega$ and $11.4\ \text{A}$
(B) $10.5\ \Omega$ and $1.14\ \text{A}$
(C) $10.5\ \Omega$ and $1\ \text{A}$
(D) $12\ \Omega$ and $1\ \text{A}$

Q67·PhysicsSingle correctJEE Main 2024

A galvanometer of resistance

100\,\Omega

, when connected in series with

400\,\Omega

, measures a voltage of upto 10 V. The value of resistance required to convert the galvanometer into an ammeter to read upto 10 A is

x\times10^{-2}\,\Omega

. The value of

x

is:

(A)2
(B)800
(C)20
(D)200

Q68·PhysicsNumericalJEE Main 2024

A wire of resistance

20\,\Omega

is divided into 10 equal parts. A combination of two parts is connected in parallel, and so on. Now the resulting pairs of parallel combinations are connected in series. The equivalent resistance of the final combination is __________

\Omega

.

Q69·PhysicsSingle correctJEE Main 2024

The ratio of heat dissipated per second through the resistances

5\,\Omega

and

10\,\Omega

in the circuit given below is:

(A)1 : 2
(B)2 : 1
(C)4 : 1
(D)1 : 1

Q70·PhysicsSingle correctJEE Main 2024

To measure the internal resistance of a battery, potentiometer is used. For

R=10\,\Omega

, the balance point is observed at

\ell=500\,cm

and for

R=1\,\Omega

the balance point is observed at

\ell=400\,cm

. The internal resistance of the battery is approximately:

(A) $0.2\,\Omega$
(B) $0.4\,\Omega$
(C) $0.1\,\Omega$
(D) $0.3\,\Omega$

Q71·PhysicsNumericalJEE Main 2024

Twelve wires each having resistance

2\,\Omega

are joined to form a cube. A battery of

6\,V

emf is joined across point

a

and

c

. The voltage difference between

e

and

f

is ___ V.

Q72·PhysicsNumericalJEE Main 2024

Two wires A and B are made up of the same material and have the same mass. Wire A has radius of 2.0 mm and wire B has radius of 4.0 mm. The resistance of wire B is

2\,\Omega

. The resistance of wire A is ______

\Omega

.

Q73·PhysicsSingle correctJEE Main 2024

The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are

8\,\Omega

and

10\,\Omega

respectively. After inserting in a hot bath of temperature

400^\circ C

, the resistance of platinum wire is:

(A) $2\,\Omega$
(B) $16\,\Omega$
(C) $8\,\Omega$
(D) $10\,\Omega$

Q74·PhysicsSingle correctJEE Main 2024

An electric bulb rated

50\ \text{W}-200\ \text{V}

is connected across a

100

V supply. The power dissipation of the bulb is

(A)12.5 W
(B)25 W
(C)50 W
(D)100 W

Q75·PhysicsNumericalJEE Main 2024

In an electrical circuit drawn below the amount of charge stored in the capacitor is __________

\mu

C.

Q76·PhysicsSingle correctJEE Main 2024

In a metre-bridge when a resistance in the left gap is 2

\Omega

and unknown resistance in the right gap, the balance length is found to be 40 cm. On shunting the unknown resistance with 2

\Omega

, the balance length changes by:

(A)22.5 cm
(B)20 cm
(C)62.5 cm
(D)65 cm

Q77·PhysicsNumericalJEE Main 2024

The current in a conductor is expressed as

I=3t^2+4t^3

, where

I

is in Ampere and

t

is in second. The amount of electric charge that flows through a section of the conductor during

t=1\,s

to

t=2\,s

is ___ C.

Q78·PhysicsSingle correctJEE Main 2024

In an ammeter, 5% of the main current passes through the galvanometer. If resistance of the galvanometer is

G

, the resistance of ammeter will be:

(A) $\dfrac{G}{200}$
(B) $\dfrac{G}{199}$
(C) $199\,G$
(D) $200\,G$

Q79·PhysicsSingle correctJEE Main 2024

A galvanometer (G) of 2

\Omega

resistance is connected in the given circuit. The ratio of charge stored in

C_1

and

C_2

is:

(A) $\dfrac{2}{3}$
(B) $\dfrac{3}{2}$
(C)1
(D) $\dfrac{1}{2}$

Q80·PhysicsSingle correctJEE Main 2024

The reading in the ideal voltmeter

(V)

shown in the given circuit diagram is:

(A) $5\,V$
(B) $10\,V$
(C) $0\,V$
(D) $3\,V$

Q81·PhysicsSingle correctJEE Main 2024

The resistance per centimeter of a meter bridge wire is

r

, with

X\,\Omega

resistance in left gap. Balancing length from left end is at 40 cm with

25\,\Omega

resistance in right gap. If the wire is replaced by another wire of double the resistance per centimeter, the new balancing length from same settings will be at

(A)20 cm
(B)10 cm
(C)80 cm
(D)40 cm

Q82·PhysicsSingle correctJEE Main 2024

Two conductors have the same resistances at 0

^\circ

C but their temperature coefficients of resistance are

\alpha_1

and

\alpha_2

. The respective temperature coefficients for their series and parallel combinations are :

(A) $\alpha_1+\alpha_2,\ \dfrac{\alpha_1+\alpha_2}{2}$
(B) $\dfrac{\alpha_1+\alpha_2}{2},\ \dfrac{\alpha_1+\alpha_2}{2}$
(C) $\alpha_1+\alpha_2,\ \dfrac{\alpha_1\alpha_2}{\alpha_1+\alpha_2}$
(D) $\dfrac{\alpha_1+\alpha_2}{2},\ \alpha_1+\alpha_2$

Q83·PhysicsNumericalJEE Main 2024

In the following circuit, the battery has an emf of 2 V and an internal resistance of

\dfrac{2}{3}\,\Omega

. The power consumption in the entire circuit is ______ W.

Q84·PhysicsNumericalJEE Main 2024

Equivalent resistance of the following network is ______

\Omega

.

Q85·PhysicsSingle correctJEE Main 2024

By what percentage will the illumination of the lamp decrease if the current drops by 20%?

(A)46%
(B)26%
(C)36%
(D)56%

Q86·PhysicsNumericalJEE Main 2024

Two cells are connected in opposition as shown. Cell

E_1

is of

8\,V

emf and

2\,\Omega

internal resistance; the cell

E_2

is of

2\,V

emf and

4\,\Omega

internal resistance. The terminal potential difference of cell

E_2

is:

Q87·PhysicsSingle correctJEE Main 2024

An electric toaster has resistance of

60\,\Omega

at room temperature

(27^\circ C)

. The toaster is connected to a

220\,V

supply. If the current flowing through it reaches

2.75\,A

, the temperature attained by toaster is around: (if

\alpha=2\times10^{-4}/^\circ C

)

(A) $694^\circ C$
(B) $1235^\circ C$
(C) $1694^\circ C$
(D) $1667^\circ C$

Q88·PhysicsNumericalJEE Main 2024

Two resistance of 100

\Omega

and 200

\Omega

are connected in series with a battery of 4 V and negligible internal resistance. A voltmeter is used to measure voltage across 100

\Omega

resistance, which gives reading as 1 V. The resistance of voltmeter must be ______

\Omega

.

Q89·PhysicsSingle correctJEE Main 2024

A potential divider circuit is shown in figure. The output voltage

V_0

is:

(A) $4\,V$
(B) $2\,mV$
(C) $0.5\,V$
(D) $12\,mV$

Q90·PhysicsSingle correctJEE Main 2024

When a potential difference V is applied across a wire of resistance R, it dissipates energy at a rate W. If the wire is cut into two halves and these halves are connected mutually parallel across the same supply, the energy dissipation rate will become:

(A) $\dfrac{1}{4}W$
(B) $\dfrac{1}{2}W$
(C) $2W$
(D) $4W$

Q91·PhysicsNumericalJEE Main 2024

A

16\,\Omega

wire is bend to form a square loop. A 9V battery with internal resistance

1\,\Omega

is connected across one of its sides. If a

4\,\mu

F capacitor is connected across one of its diagonals, the energy stored by the capacitor will be

\dfrac{x}{2}\,\mu

J. where

x=

______ .

Q92·PhysicsSingle correctJEE Main 2024

In the given circuit, the current in resistance

R_{3}

is:

(A)1 A
(B)1.5 A
(C)2 A
(D)2.5 A

Q93·PhysicsNumericalJEE Main 2024

In the given circuit, the current flowing through the resistance 20

\Omega

is 0.3 A, while the ammeter reads 0.9 A. The value of

R_{1}

is ___

\Omega

.

Q94·PhysicsSingle correctJEE Main 2024

The electric current through a wire varies with time as

I=I_0+\beta t

where

I_0=20

A and

\beta=3

A/s. The amount of electric charge crossed through a section of the wire in 20 s is:

(A)80 C
(B)1000 C
(C)800 C
(D)1600 C

Q95·PhysicsSingle correctJEE Main 2024

Wheatstone bridge principle is used to measure the specific resistance

(S_l)

of given wire, having length L, radius r. If X is the resistance of wire, then specific resistance is

S_l=X\left(\dfrac{\pi r^2}{L}\right)

. If the length of the wire gets doubled then the value of specific resistance will be :

(A) $\dfrac{S_l}{4}$
(B) $2S_l$
(C) $\dfrac{S_l}{2}$
(D) $S_l$

Q96·PhysicsSingle correctJEE Main 2024

A wire of resistance

R

and length

L

is cut into 5 equal parts. If these parts are joined parallely, then resultant resistance will be:

(A) $\dfrac{1}{25}R$
(B) $\dfrac{1}{5}R$
(C) $25R$
(D) $5R$

Q97·PhysicsNumericalJEE Main 2024

The charge accumulated on the capacitor connected in the following circuit is __________

\mu

C (Given

C=150\,\mu

F).

Q98·PhysicsSingle correctJEE Main 2024

Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across A and B, their readings are

V_1

,

V_2

and

V_3

. Choose the correct option.

(A) $V_1=V_2$
(B) $V_1=V_3-V_2$
(C) $V_1+V_2>V_3$
(D) $V_1+V_2=V_3$

Q99·PhysicsSingle correctJEE Main 2024

A wire of length 10 cm and radius

\sqrt7\times 10^{-4}

m connected across the right gap of a meter bridge. When a resistance of 4.5

\Omega

is connected on the left gap by using a resistance box, the balance length is found to be at 60 cm from the left end. If the resistivity of the wire is

R\times 10^{-7}\,\Omega

m, then value of

R

is:

(A)63
(B)70
(C)66
(D)35

Q100·PhysicsMultiple correctJEE Advanced 2023

In a circuit shown in the figure, the capacitor C is initially uncharged and the key K is open. In this condition, a current of 1 A flows through the 1

\Omega

resistor. The key is closed at time

t = t_0

. Which of the following statement(s) is(are) correct? [Given:

e^{-1} = 0.36

]

(A)The value of the resistance of R is 3 $\Omega$
(B)For $t < t_0$ , the value of current $I_1$ is 2A
(C)At $t = t_0 + 7.2\ \mu s$ , the current in the capacitor is 0.6 A.
(D)For $t \rightarrow \infty$ , the charge on the capacitor is 12 $\mu C$ .

Q101·PhysicsSingle correctJEE Main 2023

In the given circuit, the current (I) through the battery will be :

(A) $1.5$ A
(B) $1$ A
(C) $2.5$ A
(D) $2$ A

Q102·PhysicsNumericalJEE Main 2023

A network of four resistances is connected to

9

V battery, as shown in figure. The magnitude of voltage difference between the points A and B is __________ V.

Q103·PhysicsSingle correctJEE Main 2023

Given below are two statements: Statement I : The equivalent resistance of resistors in a series combination is smaller than least resistance used in the combination. Statement II : The resistivity of the material is independent of temperature. In the light of the above statements, choose the correct answer from the options given below :

(A)Statement I is false but Statement II is true
(B)Both Statement I and Statement II are false
(C)Statement I is true but Statement II is false
(D)Both Statement I and Statement II are true

Q104·PhysicsSingle correctJEE Main 2023

Different combinations of

3

resistors of equal resistance

R

are shown in the figures. The increasing order for power dissipation is:

(A) $P_{A}<P_{B}<P_{C}<P_{D}$
(B) $P_{C}<P_{D}<P_{A}<P_{B}$
(C) $P_{B}<P_{D}<P_{C}<P_{A}$
(D) $P_{A}<P_{C}<P_{D}<P_{B}$

Q105·PhysicsNumericalJEE Main 2023

When a resistance of

5\,\Omega

is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of

250\,mA

, however when

1050\,\Omega

resistance is connected with it in series, it gives full scale deflection for

25

volt. The resistance of galvanometer is _____

\Omega

.

Q106·PhysicsNumericalJEE Main 2023

A potential

V_{0}

is applied across a uniform wire of resistance

R

. The power dissipation is

P_{1}

. The wire is then cut into two equal parts and a potential of

V_{0}

is applied across the length of each half. The total power dissipation across two wires is

P_{2}

. The ratio

P_{2}:P_{1}

is

\sqrt x:1

. The value of

x

is _____.

Q107·PhysicsNumericalJEE Main 2023

The current flowing through a conductor connected across a source is 2A and 1.2 A at 0°C and 50°C respectively. The current flowing through the conductor at 50°C will be _________ ×10

^2

mA.

Q108·PhysicsNumericalJEE Main 2023

10 resistors each of resistance 10

\Omega

can be connected in such as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be _________.

Q109·PhysicsSingle correctJEE Main 2023

A wire of resistance 160

\Omega

is melted and drawn in wire of one-fourth of its length. The new resistance of the wire will be

(A)10 $\Omega$
(B)640 $\Omega$
(C)40 $\Omega$
(D)16 $\Omega$

Q110·PhysicsSingle correctJEE Main 2023

Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be:

(A) $4 : 1$
(B) $2 : 1$
(C) $1 : 2$
(D) $1 : 4$

Q111·PhysicsNumericalJEE Main 2023

In the circuit diagram shown in figure given below, the current flowing through resistance

3\Omega

is

\frac{x}{3}

A. The value of x is ____.

Q112·PhysicsNumericalJEE Main 2023

Two identical cells each of emf

1.5

V are connected in series across a

10\ \Omega

resistance. An ideal voltmeter connected across the

10\ \Omega

resistance reads

1.5

V. The internal resistance of each cell is ____

\Omega

.

Q113·PhysicsSingle correctJEE Main 2023

In the given circuit, the current flowing through

R_2

is:

(A) $\dfrac{2}{3}$ A
(B) $\dfrac{1}{4}$ A
(C) $\dfrac{3}{2}$ A
(D) $\dfrac{1}{3}$ A

Q114·PhysicsSingle correctJEE Main 2023

The equivalent resistance of the circuit shown below between points a and b is:

(A) $24\,\Omega$
(B) $3.2\,\Omega$
(C) $20\,\Omega$
(D) $16\,\Omega$

Q115·PhysicsNumericalJEE Main 2023

10 resistors each of resistance

10\,\Omega

can be connected in such a way as to get maximum and minimum equivalent resistance. The ratio of maximum and minimum equivalent resistance will be _________.

Q116·PhysicsSingle correctJEE Main 2023

In a metallic conductor, under the effect of an applied electric field, the free electrons of the conductor:

(A)drift from higher potential to lower potential
(B)move in curved paths from lower potential to higher potential
(C)move with uniform velocity throughout from lower potential to higher potential
(D)move in straight line paths in the same direction

Q117·PhysicsNumericalJEE Main 2023

A rectangular parallelopiped is measured as

1

cm

\times

1

cm

\times

100

cm. If its specific resistance is

3\times10^{-7}\,\Omega

m, then the resistance between its two opposite rectangular faces will be _______

\times10^{-7}\,\Omega

.

Q118·PhysicsSingle correctJEE Main 2023

The equivalent resistance between A and B shown in the figure is:

(A)5 k $\Omega$
(B)30 k $\Omega$
(C)10 k $\Omega$
(D)20 k $\Omega$

Q119·PhysicsSingle correctJEE Main 2023

In this figure the resistance of the coil of galvanometer G is

2\,\Omega

. The emf of the cell is

4

V. The ratio of potential difference across

C_{1}

and

C_{2}

is:

(A) $1$
(B) $\dfrac{4}{5}$
(C) $\dfrac{3}{4}$
(D) $\dfrac{5}{4}$

Q120·PhysicsNumericalJEE Main 2023

The number density of free electrons in copper is nearly

8\times10^{28}

m

^{-3}

. A copper wire has its area of cross section

=2\times10^{-6}

m

^2

and is carrying a current of 3.2 A. The drift speed of the electrons is ____

\times10^{-5}

ms

^{-1}

.

Q121·PhysicsNumericalJEE Main 2023

A current of

2\,\text{A}

flows through a wire of cross-sectional area

25.0\,\text{mm}^{2}

. The number of free electrons in a cubic meter are

2.0\times10^{28}

. The drift velocity of the electrons is ______

\times10^{-6}\,\text{ms}^{-1}

(given, charge on electron

=1.6\times10^{-19}\,\text{C}

)

Q122·PhysicsNumericalJEE Main 2023

As shown in the figure, the voltmeter reads 2 V across a 5

\Omega

resistor. The resistance of the voltmeter is

Q123·PhysicsNumericalJEE Main 2023

The length of a metallic wire is increased by

20\%

and its area of cross section is reduced by

4\%

. The percentage change in resistance of the metallic wire is _____.

Q124·PhysicsSingle correctJEE Main 2023

Figure shows a part of an electric circuit. The potentials at points

a

,

b

and

c

are 30 V, 12 V and 2 V respectively. The current through the 20

\Omega

resistor will be

(A) $0.4\,A$
(B) $0.2\,A$
(C) $0.6\,A$
(D) $1.0\,A$

Q125·PhysicsSingle correctJEE Main 2023

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: For measuring the potential difference across a resistance of

600\,\Omega

, the voltmeter with resistance

1000\,\Omega

will be preferred over voltmeter with resistance

4000\,\Omega

. Reason R: Voltmeter with higher resistance will draw smaller current than voltmeter with lower resistance. In the light of the above statements, choose the most appropriate answer from the options given below:

(A)Both A and R are correct and R is the correct explanation of A
(B)Both A and R are correct but R is not the correct explanation of A
(C)A is not correct but R is correct
(D)A is correct but R is not correct

Q126·PhysicsNumericalJEE Main 2023

In an experiment to find emf of a cell using potentiometer, the length of null point for a cell of emf

1.5

V is found to be

60

cm. If this cell is replaced by another cell of emf

E

, the length of null point increases by

40

cm. The value of

E

is

\tfrac{x}{10}

V. The value of

x

is _______ .

Q127·PhysicsSingle correctJEE Main 2023

Equivalent resistance between the adjacent corners of a regular n-sided polygon of uniform wire of resistance R would be:

(A) $\dfrac{n^2R}{n-1}$
(B) $\dfrac{(n-1)R}{n}$
(C) $\dfrac{(n-1)R}{n^2}$
(D) $\dfrac{(n-1)R}{(2n-1)}$

Q128·PhysicsNumericalJEE Main 2023

In the given circuit, the value of

\left|\dfrac{I_1+I_2}{I_1}\right|

is _________.

Q129·PhysicsSingle correctJEE Main 2023

The equivalent resistance between

A

and

B

of the network shown in the figure is:

(A) $\tfrac{8}{3}R$
(B) $21R$
(C) $14R$
(D) $11\tfrac{2}{3}R$

Q130·PhysicsNumericalJEE Main 2023

Two identical cells, when connected either in parallel or in series gives same current in an external resistance

5\,\Omega

. The internal resistance of each cell will be __________

\Omega

.

Q131·PhysicsSingle correctJEE Main 2023

The drift velocity of electrons for a conductor connected in an electrical circuit is

V_d

. The conductor is now replaced by another conductor with same material and same length but double the area of cross section. The applied voltage remains same. The new drift velocity of electrons will be

(A) $V_d$
(B) $\frac{V_d}{4}$
(C) $2V_d$
(D) $\frac{V_d}{2}$

Q132·PhysicsSingle correctJEE Main 2023

The H amount of thermal energy is developed by a resistor in

10

s when a current of

4

A is passed through it. If the current is increased to

16

A, the thermal energy developed by the resistor in

10

s will be:

(A) $\dfrac{H}{4}$
(B) $16H$
(C) $4H$
(D) $H$

Q133·PhysicsNumericalJEE Main 2023

For the given circuit, in the steady state,

|V_B-V_D|=

_________ V.

Q134·PhysicsNumericalJEE Main 2023

In the following circuit, the magnitude of current

I_1

is _________ A.

Q135·PhysicsNumericalJEE Main 2023

For the bridge network shown in the figure, if the potential difference between B and D is zero, the value of

x

is

\dfrac{1}{n}\,\Omega

. The value of

n

is _______.

Q136·PhysicsSingle correctJEE Main 2023

The equivalent resistance between A and B for the network shown in the figure is:

(A) $\dfrac{1}{3}\,\Omega$
(B) $\dfrac{1}{2}\,\Omega$
(C) $\dfrac{3}{2}\,\Omega$
(D) $\dfrac{2}{3}\,\Omega$

Q137·PhysicsSingle correctJEE Main 2023

The charge flowing in a conductor changes with time as

Q(t)=\alpha t-\beta t^2+\gamma t^3

, where

\alpha,\beta

and

\gamma

are constants. Minimum value of current is:

(A) $\alpha-\dfrac{3\beta^2}{\gamma}$
(B) $\alpha-\dfrac{\gamma^2}{3\beta}$
(C) $\alpha-\dfrac{\beta^2}{3\gamma}$
(D) $\beta-\dfrac{\alpha^2}{3\gamma}$

Q138·PhysicsNumericalJEE Main 2023

A null point is found at

200\,cm

in potentiometer when cell in secondary circuit is shunted by

5\,\Omega

. When a resistance of

15\,\Omega

is used for shunting, null point moves to

300\,cm

. The internal resistance of the cell is _____

\Omega

.

Q139·PhysicsNumericalJEE Main 2023

In a metre bridge experiment the balance point is obtained when the gaps are closed by

2\,\Omega

and

3\,\Omega

. A shunt of

X

is added to the

3\,\Omega

resistor to shift the balancing point by 22.5 cm. The value of

X

is ________

\Omega

.

Q140·PhysicsNumericalJEE Main 2023

When two resistances

R_1

and

R_2

connected in series and introduced into the left gap of a meter bridge and a resistance of

10\,\Omega

is introduced into the right gap, a null point is found at

60\,cm

from left side. When

R_1

is introduced in parallel and introduced into the left gap, a resistance of

3\,\Omega

is introduced into the right gap, a null point is found at

40\,cm

from left end. The product of

R_1R_2

is _____

\Omega^2

.

Q141·PhysicsSingle correctJEE Main 2023

Ratio of thermal energy released in two resistors

R

and

3R

connected in parallel in an electric circuit is:

(A)1 : 27
(B)1 : 1
(C)1 : 3
(D)3 : 1

Q142·PhysicsSingle correctJEE Main 2023

With the help of potentiometer, we can determine the value of emf of a given cell. The sensitivity of the potentiometer is (A) directly proportional to the length of the potentiometer wire (B) directly proportional to the potential gradient of the wire (C) inversely proportional to the potential gradient of the wire (D) inversely proportional to the length of the potentiometer wire Choose the correct option for the above statements:

(A)A only
(B)C only
(C)A and C only
(D)B and D only

Q143·PhysicsNumericalJEE Main 2023

Two cells are connected between points A and B as shown. Cell 1 has emf of 12 V and internal resistance of

3\,\Omega

. Cell 2 has emf of 6 V and internal resistance of

6\,\Omega

. An external resistor R of

4\,\Omega

is connected across A and B. The current flowing through R will be ______ A.

Q144·PhysicsSingle correctJEE Main 2023

A uniform metallic wire carries a current 2 A, when 3.4 V battery is connected across it. The mass of the uniform metallic wire is

8.92\times10^{-3}

kg, density is

8.92\times10^{3}

kg/m

^3

and resistivity is

1.7\times10^{-8}\ \Omega

-m. The length of the wire is:

(A) $l=10$ m
(B) $l=100$ m
(C) $l=5$ m
(D) $l=6.8$ m

Q145·PhysicsSingle correctJEE Main 2023

The resistance of a wire is

5\,\Omega

. Its new resistance in ohm if stretched to 5 times of its original length will be:

(A)25
(B)125
(C)5
(D)625

Q146·PhysicsNumericalJEE Main 2023

In the given circuit (shown in the figure), the equivalent resistance between the terminals A and B is _______

\Omega

.

Q147·PhysicsNumericalJEE Main 2023

A hollow cylindrical conductor has length of 3.14 m, while its inner and outer diameters are 4 mm and 8 mm respectively. The resistance of the conductor is

n\times10^{-3}\,\Omega

. If the resistivity of the material is

2.4\times10^{-8}\,\Omega

m. The value of

n

is _______ .

Q148·PhysicsSingle correctJEE Main 2023

A cell of emf

90

V is connected across series combination of two resistors each of

100\,\Omega

resistance. A voltmeter of resistance

400\,\Omega

is used to measure the potential difference across each resistor. The reading of the voltmeter will be:

(A) $90$ V
(B) $45$ V
(C) $80$ V
(D) $40$ V

Q149·PhysicsSingle correctJEE Main 2023

As shown in the figure, a network of resistors is connected to a battery of 24 V with an internal resistance of

3\,\Omega

. The currents through the resistors

R_4

and

R_5

are

I_4

and

I_5

respectively. The values of

I_4

and

I_5

are:

(A) $I_4=\tfrac{2}{5}$ A and $I_5=\tfrac{8}{5}$ A
(B) $I_4=\tfrac{24}{5}$ A and $I_5=\tfrac{6}{5}$ A
(C) $I_4=\tfrac{8}{5}$ A and $I_5=\tfrac{2}{5}$ A
(D) $I_4=\tfrac{6}{5}$ A and $I_5=\tfrac{24}{5}$ A

Q150·PhysicsNumericalJEE Main 2023

If a copper wire is stretched to increase its length by

20\%

, the percentage increase in resistance of the wire is _________ %

Q151·PhysicsMultiple correctJEE Advanced 2022

In Circuit-1 and Circuit-2 shown in the figures,

R_1 = 1\,\Omega

,

R_2 = 2\,\Omega

and

R_3 = 3\,\Omega

.

P_1

and

P_2

are the power dissipations in Circuit-1 and Circuit-2 when the switches

S_1

and

S_2

are in open conditions, respectively.

Q_1

and

Q_2

are the power dissipations in Circuit-1 and Circuit-2 when the switches

S_1

and

S_2

are in closed conditions, respectively. Which of the following statement(s) is(are) correct?

(A)When a voltage source of 6 V is connected across A and B in both circuits, $P_1 < P_2$ .
(B)When a constant current source of 2 Amp is connected across A and B in both circuits, $P_1 > P_2$ .
(C)When a voltage source of 6 V is connected across A and B in Circuit-1, $Q_1 > P_1$ .
(D)When a constant current source of 2 Amp is connected across A and B in both circuits, $Q_2 < Q_1$ .

Q152·PhysicsMultiple correctJEE Advanced 2022

The figure shows a circuit having eight resistances of

1\Omega

each, labelled

R_1

to

R_8

, and two ideal batteries with voltages

\varepsilon_1 =12

V and

\varepsilon_2 = 6

V. Which of the following statement(s) is(are) correct?

(A)The magnitude of current flowing through $R_1$ is 7.2 A.
(B)The magnitude of current flowing through $R_2$ is 1.2 A.
(C)The magnitude of current flowing through $R_3$ is 4.8 A.
(D)The magnitude of current flowing through $R_5$ is 2.4 A.

Q153·PhysicsIntegerJEE Advanced 2022

Two resistances R

_1

=X Ω and R

_2

=1 Ω are connected to a wire AB of uniform resistivity, as shown in the figure. The radius of the wire varies linearly along its axis from 0.2mm at A to 1mm at B. A galvanometer (G) connected to the center of the wire, 50cm from each end along its axis, shows zero deflection when A and B are connected to a battery. The value of X is _________

Q154·PhysicsSingle correctJEE Main 2022

Two metallic wires of identical dimensions are connected is series. If

\sigma_{1}

and

\sigma_{2}

are the conductivities of the these wires respectively, the effective conductivity of the combination is :

(A) $\frac{\sigma_{1}\sigma_{2}}{\sigma_{1}+\sigma_{2}}$
(B) $\frac{2\sigma_{1}\sigma_{2}}{\sigma_{1}+\sigma_{2}}$
(C) $\frac{\sigma_{1}+\sigma_{2}}{2\sigma_{1}\sigma_{2}}$
(D) $\frac{\sigma_{1}+\sigma_{2}}{\sigma_{1}\sigma_{2}}$

Q155·PhysicsNumericalJEE Main 2022

The current I flowing through the given circuit will be __________ A.

Q156·PhysicsSingle correctJEE Main 2022

A 1 m long wire is broken into two unequal parts X and Y The X part of the wire is streched into another wire W. Length of W is twice the length of X and the resistance of W is twice that of Y. Find the ratio of length of X and Y.

(A)1 : 4
(B)1 : 2
(C)4 :1
(D)2 : 1

Q157·PhysicsSingle correctJEE Main 2022

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Alloys such as constantan and manganin are used in making standard resistance coils. Reason R: Constantan and manganin have very small value of temperature coefficient of resistance. In the light of the above statements, choose the correct answer from the options given below.

(A)Both A and R are true and R is the correct explanation of A.
(B)Both A and R are true but R is NOT the correct explanation of A.
(C)A is true but R is false.
(D)A is false but R is true.

Q158·PhysicsNumericalJEE Main 2022

As shown in the figure, a potentiometer wire of resistance 20Ω and length 300 cm is connected with resistance box (R.B.) and a standard cell of emf 4 V. For a resistance 'R' of resistance box introduced into the circuit, the null point for a cell of 20 mV is found to be 60 cm. The value of 'R' is ________ Ω .

Q159·PhysicsNumericalJEE Main 2022

An electrical bulb rated 220 V, 100 W, is connected in series with another bulb rated 220 V, 60 W. If the voltage across combination is 220 V, the power consumed by the 100 W bulb will be about ......... W.

Q160·PhysicsSingle correctJEE Main 2022

Given below are two statements : Statement I : A uniform wire of resistance 80

\Omega

is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be 5

\Omega

. Statement II : Two resistance 2R and 3R are connected in parallel in a electric circuit. The value of thermal energy developed in 3R and 2R will be in the ratio 3 : 2. In the light of the above statements, choose the most appropriate answer from the options given below

(A)Both statement I and statement II are correct
(B)Both statement I and statement II are incorrect
(C)Statement I is correct but statement II is incorrect
(D)Statement I is incorrect but statement II is correct.

Q161·PhysicsSingle correctJEE Main 2022

A wire of resistance R

_{1}

is drawn out so that its length is increased by twice of its original length. The ratio of new resistance to original resistance is:

(A)9 : 1
(B)1 : 9
(C)4 : 1
(D)3 : 1

Q162·PhysicsSingle correctJEE Main 2022

A. The drift velocity of electrons decreases with the increase in the temperature of conductor. B. The drift velocity is inversely proportional to the area of cross-section of given conductor. C. The drift velocity does not depend on the applied potential difference to the conductor. D. The drift velocity of electron is inversely proportional to the length of the conductor. E. The drift velocity increases with the increase in the temperature of conductor. Choose the correct answer from the options given below:

(A)A and B only
(B)A and D only
(C)B and E only
(D)B and C only

Q163·PhysicsNumericalJEE Main 2022

As show in the figure, in steady state, the charge stored in the capacitor is……. ×

10^{-6}

C.

Q164·PhysicsNumericalJEE Main 2022

In the given figure of meter bridge experiment, the balancing length AC corresponding to null deflection of the galvanometer is 40 cm. The balancing length, if the radius of the wire AB is doubled, will be……….cm.

Q165·PhysicsSingle correctJEE Main 2022

Two sources of equal emfs are connected in series. This combination is connected to an external resistance R. The internal resistances of the two sources are r

_{1}

and r

_{2}

(r

_{1}

> r

_{2}

). If the potential difference across the source of internal resistance r

_{1}

is zero then the value of R will be

(A) $r_{1} - r_{2}$
(B) $\dfrac{r_{1}r_{2}}{r_{1}+r_{2}}$
(C) $\dfrac{r_{1}+r_{2}}{2}$
(D) $r_{2} - r_{1}$

Q166·PhysicsNumericalJEE Main 2022

In meter bridge experiment for measuring unknown resistance 'S', the null point is obtained at a distance 30 cm from the left side as shown at point D. If R is 5.6

\mathrm{k}\Omega

, then the value of unknown resistance 'S' will be ________

\Omega

.

Q167·PhysicsNumericalJEE Main 2022

A 1 m long copper wire carries a current of 1 A. If the cross section of the wire is 2.0

\mathrm{mm}^{2}

and the resistivity of copper is

1.7 \times 10^{-8}\ \Omega\,\mathrm{m}

. the force experienced by moving electron in the wire is ______

\times\ 10^{-23}

N. (charge on electron

= 1.6 \times 10^{-19}

C)

Q168·PhysicsNumericalJEE Main 2022

Resistance are connected in a meter bridge circuit as shown in the figure. The balancing length l

_{1}

is 40cm. Now an unknown resistance x is connected in series with P and new balancing length is found to be 80cm measured from the same end. Then the value of x will be ______ Ω

Q169·PhysicsSingle correctJEE Main 2022

A battery of 6 V is connected to the circuit as shown below. The current I drawn from the battery is :

(A)1A
(B)2A
(C) $\frac{6}{11}\text{A}$
(D) $\frac{4}{3}\text{A}$

Q170·PhysicsSingle correctJEE Main 2022

The current I in the given circuit will be :

(A)10A
(B)20 A
(C)4A
(D)40A

Q171·PhysicsNumericalJEE Main 2022

A potentiometer wire of length 300 cm is connected in series with a resistance 780

\Omega

and a standard cell of emf 4V. A constant current flows through potentiometer wire. The length of the null point for cell of emf 20 mV is found to be 60 cm. The resistance of the potentiometer wire is____

\Omega

.

Q172·PhysicsNumericalJEE Main 2022

Eight copper wire of length

l

and diameter d are joined in parallel to form a single composite conductor of resistance R. If a single copper wire of length

2l

have the same resistance (R) then its diameter will be _______ d.

Q173·PhysicsNumericalJEE Main 2022

In the given figure, the value of

V_0

will be _______ V.

Q174·PhysicsSingle correctJEE Main 2022

The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of 2Ω. The value of internal resistance of each cell is :

(A)2Ω
(B)4Ω
(C)6Ω
(D)8Ω

Q175·PhysicsNumericalJEE Main 2022

The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is 31.4 cm. The diameter of wire is measured as 2.4 cm. The resistivity of the given wire is measured as

x \times 10^{-3}

Ω cm. The value of x is ___________. [Take π = 3.14]

Q176·PhysicsNumericalJEE Main 2022

Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the same source; the time required to produce same amount of heat by the combination of coils, will be__________min.

Q177·PhysicsNumericalJEE Main 2022

For the network shown below, the value

V_B - V_A

is _________V.

Q178·PhysicsNumericalJEE Main 2022

Two resistors are connected in series across a battery as shown in figure. If a voltmeter of resistance 2000 Ω is used to measure the potential difference across 500 Ω resister, the reading of the voltmeter will be____V.

Q179·PhysicsSingle correctJEE Main 2022

Resistance of the wire is measured as 2Ω and 3Ω at 10°C and 30°C respectively. Temperature co–coefficient of resistance of the material of the wire is :

(A)0.033°C $^{-1}$
(B)–0.033°C $^{-1}$
(C)0.011°C $^{-1}$
(D)0.055°C $^{-1}$

Q180·PhysicsNumericalJEE Main 2022

Current measured by the ammeter (A) in the reported circuit when no current flows through 10 Ω resistance. will be __________ A.

Q181·PhysicsNumericalJEE Main 2022

A meter bridge setup is shown in the figure. It is used to determine an unknown resistance R using a given resistor of 1 5 Ω. The galvanometer (G) shows null deflection when tapping key is at 43 cm mark from end A. If the end correction for end A is 2 cm. then the determined value of R will be ________ Ω.

Q182·PhysicsNumericalJEE Main 2022

All resistances in figure are 1Ω each. The value of current 'I' is

\frac{a}{5}

A . The value of a is ________

Q183·PhysicsNumericalJEE Main 2022

A cell, shunted by a 8

\Omega

resistance, is balanced across a potentiometer wire of length 3m. The balancing length is 2 m when the cell is shunted by 4

\Omega

resistance. The value of internal resistance of the cell will be ______

\Omega

.

Q184·PhysicsNumericalJEE Main 2022

The current density in a cylindrical wire of radius r = 4.0 mm is

1.0 \times 10^{6}

A/m

^{2}

. The current through the outer portion of the wire between radial distances r/2 and r is x

\pi

A; where x is ________ .

Q185·PhysicsSingle correctJEE Main 2022

A 72 Ω galvanometer is shunted by a resistance of 8 Ω. The percentage of the total current which passes through the galvanometer is :

(A)0.1%
(B)10 %
(C)25%
(D)0.25%

Q186·PhysicsNumericalJEE Main 2022

In the given circuit 'a' is an arbitrary constant. The value of m for which the equivalent circuit resistance is minimum, will be

\sqrt{\dfrac{x}{2}}

. The value of x is _____ .

Q187·PhysicsNumericalJEE Main 2022

The current density in a cylindrical wire of radius 4 mm is

4 \times 10^{6} Am^{-2}

. The current through the outer portion of the wire between radial distance

\frac{R}{2}

and R is ____

\pi

A.

Q188·PhysicsSingle correctJEE Main 2022

The equivalent resistance between points A and B in the given network is :

(A)65Ω
(B)20Ω
(C)5Ω
(D)2Ω

Q189·PhysicsNumericalJEE Main 2022

A resistor develops 300 J of thermal energy in 15s, when a current of 2A is passed through it. If the current increases to 3A, the energy developed in 10s is _________ J.

Q190·PhysicsNumericalJEE Main 2022

The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be _____%.

Q191·PhysicsNumericalJEE Main 2022

The total current supplied to the circuit as shown in figure by the 5V battery is _________ A

Q192·PhysicsSingle correctJEE Main 2022

Two cells of same emf but different internal resistances

r_1

and

r_2

are connected in series with a resistance R. The value of resistance R, for which the potential difference across second cell is zero, is

(A) $r_2 - r_1$
(B) $r_1 - r_2$
(C) $r_1$
(D) $r_2$

Q193·PhysicsSingle correctJEE Main 2022

Two identical cells each of emf 1.5 V are connected in parallel across a parallel combination of two resistors each of resistance

20\Omega

. A voltmeter connected in the circuit measures 1.2 V. The internal resistance of each cell is

(A) $2.5\Omega$
(B) $4\Omega$
(C) $5\Omega$
(D) $10\Omega$

Q194·PhysicsNumericalJEE Main 2022

In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf's of two cells respectively is 3 : 2, the difference in the balancing length of the potentiometer wire in above two cases will be ______ cm.

Q195·PhysicsSingle correctJEE Main 2022

What will be the most suitable combination of three resistors A =

2\Omega

, B =

4\Omega

, C =

6\ \Omega

so that

\left(\dfrac{22}{3}\right)\Omega

is equivalent resistance of combination?

(A)Parallel combination of A and C connected in series with B.
(B)Parallel combination of A and B connected in series with C.
(C)Series combination of A and C connected in parallel with B.
(D)Series combination of B and C connected in parallel with A.

Q196·PhysicsNumericalJEE Main 2022

A potentiometer wire of length 10 m and resistance

20\ \Omega

is connected in series with a 25 V battery and an external resistance

30\ \Omega

. A cell of emf E in secondary circuit is balanced by 250 cm long potentiometer wire. The value of E (in volt) is

\dfrac{x}{10}

. The value of x is ________.

Q197·PhysicsNumericalJEE Advanced 2021

In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor becomes

q_1\,\mu\mathrm{C}

. Then S is switched to position Q. After a long time, the charge on the capacitor is

q_2\,\mu\mathrm{C}

. The magnitude of

q_2

is ______ .

Q198·PhysicsNumericalJEE Advanced 2021

In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor becomes

q_1\,\mu\mathrm{C}

. Then S is switched to position Q. After a long time, the charge on the capacitor is

q_2\,\mu\mathrm{C}

. The magnitude of

q_1

is ______ .

Q199·PhysicsIntegerJEE Advanced 2021

In order to measure the internal resistance

r_1

of a cell of emf E, a meter bridge of wire resistance

R_0

= 50 Ω, a resistance

R_0/2

, another cell of emf

E/2

(internal resistance

r

) and a galvanometer

G

are used in a circuit, as shown in the figure. If the null point is found at

l

= 72 cm, then the value of

r_1

= ______ Ω.

Q200·PhysicsNumericalJEE Main 2021

A uniform heating wire of resistance 36 Ω is connected across a potential difference of 240 V. The wire is then cut into half and potential difference of 240 V is applied across each half separately. The ratio of power dissipation in first case to the total power dissipation in the second case would be 1 : x, where x is ..........

Q201·PhysicsNumericalJEE Main 2021

A resistor dissipates 192 J of energy in 1 s when a current of 4A is passed through it. Now, when the current is doubled, the amount of thermal energy dissipated in 5 s in______J.

Q202·PhysicsSingle correctJEE Main 2021

The equivalent resistance of the given circuit between the terminals A and B is :

(A) $0\Omega$
(B) $3\Omega$
(C) $\frac{9}{2}\Omega$
(D) $1\Omega$

Q203·PhysicsNumericalJEE Main 2021

The voltage drop across 15

\Omega

resistance in the given figure will be_______V.

Q204·PhysicsSingle correctJEE Main 2021

Consider a galvanometer shunted with 5

\Omega

resistance and 2% of current passes through it. What is the resistance of the given galvanometer ?

(A)300 $\Omega$
(B)344 $\Omega$
(C)245 $\Omega$
(D)226 $\Omega$

Q205·PhysicsNumericalJEE Main 2021

A square shaped wire with resistance of each side 3

\Omega

is bent to form a complete circle. The resistance between two diametrically opposite points of the circle in unit of

\Omega

will be ___.

Q206·PhysicsSingle correctJEE Main 2021

For full scale deflection of total 50 divisions, 50 mV voltage is required in galvanometer. The resistance of galvanometer if its current sensitivity is 2 div/mA will be :

(A)1 Ω
(B)5 Ω
(C)4 Ω
(D)2 Ω

Q207·PhysicsNumericalJEE Main 2021

The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch is open and switch is closed is x : 8. The value of x is ________ .

Q208·PhysicsNumericalJEE Main 2021

First, a set of n equal resistors of 10

\Omega

each are connected in series to a battery of emf 20V and internal resistance 10

\Omega

. A current I is observed to flow. Then, the n resistors are connected in parallel to the same battery. It is observed that the current is increased 20 times, then the value of n is ......... .

Q209·PhysicsSingle correctJEE Main 2021

Calculate the amount of charge on capacitor of 4

\mu

F. The internal resistance of battery is 1

\Omega

:

(A)8 $\mu$ C
(B)zero
(C)16 $\mu$ C
(D)4 $\mu$ C

Q210·PhysicsSingle correctJEE Main 2021

Five identical cells each of internal resistance 1

\Omega

and emf 5V are connected in series and in parallel with an external resistance 'R'. For what value of 'R', current in series and parallel combination will remain the same ?

(A)1 $\Omega$
(B)25 $\Omega$
(C)5 $\Omega$
(D)10 $\Omega$

Q211·PhysicsSingle correctJEE Main 2021

The colour coding on a carbon resistor is shown in the given figure. The resistance value of the given resistor is :

(A)(5700 ± 285) Ω
(B)(7500 ± 750) Ω
(C)(5700 ± 375) Ω
(D)(7500 ± 375) Ω

Q212·PhysicsSingle correctJEE Main 2021

What equal length of an iron wire and a copper-nickel alloy wire, each of 2 mm diameter connected parallel to give an equivalent resistance of 3

\Omega

? (Given resistivities of iron and copper-nickel alloy wire are 12

\mu\Omega

cm and 51

\mu\Omega

cm respectively)

(A)82 m
(B)97 m
(C)110 m
(D)90 m

Q213·PhysicsSingle correctJEE Main 2021

If you are provided a set of resistances 2Ω, 4Ω, 6Ω and 8Ω. Connect these resistances so as to obtain an equivalent resistance of

\frac{46}{3}\Omega

.

(A)4Ω and 6Ω are in parallel with 2Ω and 8 Ω in series
(B)6Ω and 8Ω are in parallel with 2Ω and 4Ω in series
(C)2Ω and 6Ω are in parallel with 4Ω and 8 Ω in series
(D)2Ω and 4Ω are in parallel with 6Ω and 8Ω in series

Q214·PhysicsSingle correctJEE Main 2021

An electric bulb of 500 watt at 100 volt is used in a circuit having a 200 V supply. Calculate the resistance R to be connected in series with the bulb so that the power delivered by the bulb is 500 W.

(A)20 Ω
(B)30 Ω
(C)5 Ω
(D)10 Ω

Q215·PhysicsSingle correctJEE Main 2021

In the given figure, the emf of the cell is 2.2 V and if internal resistance is 0.6

\Omega

. Calculate the power dissipated in the whole circuit :

(A)1.32 W
(B)0.65 W
(C)2.2 W
(D)4.4 W

Q216·PhysicsNumericalJEE Main 2021

For the circuit shown, the value of current at time t = 3.2 s will be ________ A. [Voltage distribution V(t) is shown by Fig.(1) and the circuit is shown in Fig.(2)]

Q217·PhysicsSingle correctJEE Main 2021

The resistance of a conductor at 15°C is 16 Ω and at 100°C is 20 Ω . What will be the temperature coefficient of resistance of the conductor ?

(A)0.003°C $^{-1}$
(B)0.042°C $^{-1}$
(C)0.033°C $^{-1}$
(D)0.010°C $^{-1}$

Q218·PhysicsSingle correctJEE Main 2021

In the given figure, a battery of emf E is connected across a conductor PQ of length 'ℓ' and different area of cross- sections by having radii

r_1

and

r_2

(

r_2 < r_1

). Choose the correct option as one moves from P to Q :

(A)All of these
(B)Electron current decreases.
(C)Drift velocity of electron increases.
(D)Electric field decreases.

Q219·PhysicsSingle correctJEE Main 2021

In the given figure, there is a circuit of potentiometer of length AB = 10m. The resistance per unit length is 0.1Ω per cm. Across AB, a battery of emf E and internal resistance 'r' is connected. The maximum value of emf measured by this potentiometer is :

(A)2.75 V
(B)6 V
(C)5 V
(D)2.25 V

Q220·PhysicsSingle correctJEE Main 2021

In the given potentiometer circuit arrangement, the balancing length AC is measured to be 250 cm. When the galvanometer connection is shifted from point

(1)

to point

(2)

in the given diagram, the balancing length becomes 400 cm. The ratio of the emf of two cells,

\frac{\varepsilon_1}{\varepsilon_2}

is:

(A) $\frac{4}{3}$
(B) $\frac{8}{5}$
(C) $\frac{3}{2}$
(D) $\frac{5}{3}$

Q221·PhysicsNumericalJEE Main 2021

An electric bulb rated as 200 W at 100 V is used in a circuit having 200 V supply. The resistance 'R' that must be put in series with the bulb so that the bulb delivers the same power is __________ Ω .

Q222·PhysicsNumericalJEE Main 2021

A

16\,\Omega

wire is bend to form a square loop. A 9V supply having internal resistance of

1\,\Omega

is connected across one of its sides. The potential drop across the diagonals of the square loop is ________

\times 10^{-1}

V.

Q223·PhysicsSingle correctJEE Main 2021

The given potentiometer has its wire of resistance

10\,\Omega

. When the sliding contact is in the middle of the potentiometer wire, the potential drop across

2\,\Omega

resistor is :

(A) $\frac{40}{11}$ V
(B)10 V
(C) $\frac{40}{9}$ V
(D)5 V

Q224·PhysicsSingle correctJEE Main 2021

A Copper(Cu) rod of length 25 cm and cross

-

sectional area 3 mm

^2

is joined with a similar aluminium(Al) rod as shown in figure. Find the resistance of the combination between the ends A and B. (Take Resistivity of Copper =

1.7\times10^{-8}\,\Omega m

Resistivity of Aluminium =

2.6\times10^{-8}\,\Omega m

)

(A)0.858 mΩ
(B)0.0858 mΩ
(C)1.420 mΩ
(D)2.170 mΩ

Q225·PhysicsNumericalJEE Main 2021

In an electric circuit, a cell of certain emf provides a potential difference of 1.25 V across a load resistance of 5 Ω. However, it provides a potential difference of 1 V across a load resistance of 2 Ω. The emf of the cell is given by

\frac{x}{10}

V. Then the value of x is ________.

Q226·PhysicsSingle correctJEE Main 2021

A current of 5 A is passing through a non-linear magnesium wire of cross − section

0.04\,m^2

. At every point the direction of current density is at an angle of 60° with unit vector of area of cross -section. The magnitude of electric field at every point of the conductor is : (Resistivity of magnesium ρ =

44 \times 10^{-8}

Ωm )

(A) $11 \times 10^{-7}$ V / m
(B) $11 \times 10^{-2}$ V / m
(C) $11 \times 10^{-5}$ V / m
(D) $11 \times 10^{-3}$ V / m

Q227·PhysicsNumericalJEE Main 2021

In the given figure switches

\mathrm{S}_{1}

and

\mathrm{S}_{2}

are in open condition. The resistance across ab when the switches

\mathrm{S}_{1}

and

\mathrm{S}_{2}

are closed is ________

\Omega

.

Q228·PhysicsSingle correctJEE Main 2021

The value of current in the 6Ω resistance is :

(A)6 A
(B)10 A
(C)4 A
(D)8 A

Q229·PhysicsNumericalJEE Main 2021

Two wires of same length and thickness having specific resistances 6Ω cm and 3Ω cm respectively are connected in parallel. The effective resistivity is ρ Ω cm. The value of ρ, to the nearest integer, is_____.

Q230·PhysicsNumericalJEE Main 2021

The voltage across the 10Ω resistor in the given circuit is x volt. The value of 'x' to the nearest integer is _____.

Q231·PhysicsNumericalJEE Main 2021

Consider a 72 cm long wire AB as shown in the figure. The galvanometer jockey is placed at P on AB at a distance x cm from A. The galvanometer shows zero deflection. The value of x, to the nearest integer, is

Q232·PhysicsSingle correctJEE Main 2021

The four arms of a Wheatstone bridge have resistances as shown in the figure. A galvanometer of 15 Ω resistance is connected across BD. Calculate the current through the galvanometer when a potential difference of 10V is maintained across AC.

(A)2.44 μA
(B)2.44 mA
(C)4.87 mA
(D)4.87 μA

Q233·PhysicsSingle correctJEE Main 2021

A current of 10A exists in a wire of crosssectional area of 5

mm^2

with a drift velocity of

2 \times 10^{-3}

ms^{-1}

. The number of free electrons in each cubic meter of the wire is ___.

(A) $2 \times 10^6$
(B) $625 \times 10^{25}$
(C) $2 \times 10^{25}$
(D) $1 \times 10^{23}$

Q234·PhysicsNumericalJEE Main 2021

The equivalent resistance of series combination of two resistors is 's'. When they are connected in parallel, the equivalent resistance is 'p'. If s = np, then the minimum value for n is ___. (Round off to the Nearest Integer)

Q235·PhysicsSingle correctJEE Main 2021

Two cells of emf 2E and E with internal resistance r

_{1}

and r

_{2}

respectively are connected in series to an external resistor R (see figure). The value of R, at which the potential difference across the terminals of the first cell becomes zero is

(A)r $_{1}$ + r $_{2}$
(B) $\frac{r_{1}}{2} - r_{2}$
(C) $\frac{r_{1}}{2} + r_{2}$
(D)r $_{1}$ − r $_{2}$

Q236·PhysicsSingle correctJEE Main 2021

A conducting wire of length 'l', area of cross-section A and electric resistivity ρ is connected between the terminals of a battery. A potential difference V is developed between its ends, causing an electric current. If the length of the wire of the same material is doubled and the area of cross-section is halved, the resultant current would be :

(A) $\frac{1}{4}\frac{VA}{\rho l}$
(B) $\frac{3}{4}\frac{VA}{\rho l}$
(C) $\frac{1}{4}\frac{\rho l}{VA}$
(D) $4\frac{VA}{\rho l}$

Q237·PhysicsNumericalJEE Main 2021

The energy dissipated by a resistor is 10 mJ in 1s when an electric current of 2 mA flows through it. The resistance is _______ Ω. (Round off to the Nearest Integer)

Q238·PhysicsNumericalJEE Main 2021

In the figure given, the electric current flowing through the 5 kΩ resistor is 'x' mA. The value of x to the nearest integer is _______.

Q239·PhysicsSingle correctJEE Main 2021

A resistor develops 500 J of thermal energy in 20s when a current of 1.5 A is passed through it. If the current is increased from 1.5 A to 3A, what will be the energy developed in 20 s.

(A)1500 J
(B)1000 J
(C)500 J
(D)2000 J

Q240·PhysicsNumericalJEE Main 2021

In an electrical circuit, a battery is connected to pass 20 C of charge through it in a certain given time. The potential difference between two plates of the battery is maintained at 15 V. The work done by the battery is ____________ J.

Q241·PhysicsSingle correctJEE Main 2021

Five equal resistances are connected in a network as shown in figure. The net resistance between the points A and B is :

(A) $\frac{3R}{2}$
(B) $\frac{R}{2}$
(C)R
(D)2R

Q242·PhysicsSingle correctJEE Main 2021

A wire of 1Ω has a length of 1 m. It is stretched till its length increases by 25%. The percentage change in a resistance to the nearest integer is:

(A)25%
(B)12.5%
(C)76%
(D)56%

Q243·PhysicsNumericalJEE Main 2021

A current of 6A enters one corner P of an equilateral triangle PQR having 3 wires of resistance 2Ω each and leaves by the corner R. The currents i1 in ampere is______. 6A 2Ω P i

_{1}

i

_{2}

2Ω2Ω QR 2Ω

Q244·PhysicsNumericalJEE Main 2021

In the given circuit of potentiometer, the potentital difference E across AB (10 m length) is larger than

E_1

and

E_2

as well. For key

K_1

(closed), the jockey is adjusted to touch the wire at point

J_1

so that there is no deflection in the galvanometer. Now the first battery (

E_1

) is replaced by second battery (

E_2

) for working by making

K_1

open and

E_2

closed. The galvanometer gives then null deflection at

J_2

. The value of

\dfrac{E_1}{E_2}

is

\dfrac{a}{b}

, where a = _____.

Q245·PhysicsSingle correctJEE Main 2021

A cell

E_1

of emf 6V and internal resistance 2

\Omega

is connected with another cell

E_2

of emf 4V and internal resistance 8

\Omega

(as shown in the figure). The potential difference across points X and Y is –

(A)3.6V
(B)10.0V
(C)5.6V
(D)2.0V

Q246·PhysicsSingle correctJEE Main 2021

A current through a wire depends on time as

i = \alpha_0 t + \beta t^2

where

\alpha_0

= 20 A/s and

\beta

= 8 As

^{-2}

. Find the charge crossed through a section of the wire in 15 s.

(A)2100 C
(B)260 C
(C)2250 C
(D)11250 C

Q247·PhysicsNumericalJEE Main 2021

A cylindrical wire of radius 0.5 mm and conductivity

5\times10^{7}

S/m is subjected to an electric field of 10 mV/m. The expected value of current in the wire will be

x^{3}\pi

mA. The value of x is _____.

Q248·PhysicsNumericalJEE Advanced 2020

In the balanced condition, the values of the resistances of the four arms of a Wheatstone bridge are shown in the figure below. The resistance

R_3

has temperature coefficient

0.0004\ {}^\circ\text{C}^{-1}

. If the temperature of

R_3

is increased by

100\ {}^\circ\text{C}

, the voltage developed between

S

and

T

will be ___________ volt.

Q249·PhysicsMultiple correctJEE Advanced 2020

Shown in the figure is a semicircular metallic strip that has thickness t and resistivity ρ. Its inner radius is

R_1

and outer radius is

R_2

. If a voltage

V_0

is applied between its two ends, a current I flows in it. In addition, it is observed that a transverse voltage

\Delta V

develops between its inner and outer surfaces due to purely kinetic effects of moving electrons (ignore any role of the magnetic field due to the current). Then (figure is schematic and not drawn to scale)-

(A) $I = \frac{V_0t}{\pi\rho}\ln\left(\frac{R_2}{R_1}\right)$
(B)the outer surface is at a higher voltage than the inner surface
(C)the outer surface is at a lower voltage than the inner surface
(D) $\Delta V \propto I^2$

Q250·PhysicsSingle correctJEE Main 2020

For the given input voltage waveform

V_{in}(t)

, the output voltage waveform

V_0(t)

, across the capacitor is correctly depicted by:

(A)(A)
(B)(B)
(C)(C)
(D)(D)

Q251·PhysicsSingle correctJEE Main 2020

In the figure shown, the current in the 10 V battery is close to:

(A)0.71 A from positive to negative terminal
(B)0.42 A from positive to negative terminal
(C)0.21 A from positive to negative terminal.
(D)0.36 A from negative to positive terminal.

Q252·PhysicsSingle correctJEE Main 2020

In the circuit, given in the figure currents in different branches and value of one resistor are shown. Then potential at point B with respect to the point A is:

(A)+ 1 V
(B)– 1 V
(C)+ 2 V
(D)– 2 V

Q253·PhysicsSingle correctJEE Main 2020

A galvanometer of resistance G is converted into a voltmeter of range 0 – IV by connecting a resistance

R_1

in series with it. The additional resistance that should be connected in series with

R_1

to increase the range of the voltmeter to 0 – 2V will be:

(A) $R_1$ + G
(B) $R_1$
(C)G
(D) $R_1$ − G

Q254·PhysicsSingle correctJEE Main 2020

An electrical power line, having a total resistance of 2Ω, delivers 1 kW at 220 V. The efficiency of the transmission line is approximately:

(A)96%
(B)72%
(C)91%
(D)85%

Q255·PhysicsSingle correctJEE Main 2020

A battery of 3.0 V is connected to a resistor dissipating 0.5 W of power. If the terminal voltage of the battery is 2.5 V, the power dissipated within the internal resistance is:

(A)0.50 W
(B)0.10 W
(C)0.125 W
(D)0.072 W

Q256·PhysicsSingle correctJEE Main 2020

The value of current

i_1

flowing from A to C in the circuit diagram is:

(A)4
(B)2
(C)5
(D)1

Q257·PhysicsNumericalJEE Main 2020

Four resistance 40 Ω, 60 Ω, 90 Ω, and 110 Ω make the arms of a quadrilateral ABCD. Across AC is a battery of emf 40V and internal resistance negligible. The potential difference across BD in V is ……

Q258·PhysicsSingle correctJEE Main 2020

Model a torch battery of length

\ell

to be made up of a thin cylindrical bar of radius 'a' and a concentric thin cylindrical shell of radius 'b' filled in between with an electrolyte of resistivity ρ (see figure). If the battery is connected to a resistance of value R, the maximum joule heating in R will take place for:

(A) $R = \frac{\rho}{\pi\ell}\ell n\left(\frac{b}{a}\right)$
(B) $R = \frac{\rho}{2\pi\ell}\left(\frac{b}{a}\right)$
(C) $R = \frac{2\rho}{\pi\ell}\ell n\left(\frac{b}{a}\right)$
(D) $R = \frac{\rho}{2\pi\ell}\ell n\left(\frac{b}{a}\right)$

Q259·PhysicsSingle correctJEE Main 2020

Two resistors 400Ω and 800Ω are connected in series across a 6 V battery. The potential difference measured by a voltmeter of 10kΩ across 400Ω resistor is close to:

(A)2 V
(B)2.05V
(C)1.95 V
(D)1.8 V

Q260·PhysicsSingle correctJEE Main 2020

In the given circuit diagram, a wire is joining points B and D. The current in this wire is:

(A)zero
(B)2A
(C)0.4 A
(D)4A

Q261·PhysicsSingle correctJEE Main 2020

The current i in the network is:

(A)0.6 A
(B)0 A
(C)0.2 A
(D)0.3 A

Q262·PhysicsSingle correctJEE Main 2020

A galvanometer having a coil resistance 100 Ω gives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V.

(A)9.9 kΩ
(B)7.9 kΩ
(C)10 kΩ
(D)8.9 kΩ

Q263·PhysicsNumericalJEE Main 2020

The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20 Ω and 5 Ω, is connected to the parallel combination of two resistors 30 Ω and R Ω. The voltage difference across the battery of internal resistance 20 Ω is zero, the value of R (in Ω) is ____.

Q264·PhysicsNumericalJEE Main 2020

Four resistances of 15

\Omega

, 12

\Omega

, 4

\Omega

and 10

\Omega

respectively in cyclic order to form Whetstone's network. The resistance that is to be connected in parallel with the resistance of 10

\Omega

to balance the network is ___________.

Q265·PhysicsSingle correctJEE Main 2020

The length of a potentiometer wire is 1200 cm and it carries a current of 60 mA. For a cell of emf 5 V and internal resistance of 20 Ω, the null point on it is found to be at 1000 cm. The resistance of whole wire is:

(A)60 Ω
(B)100 Ω
(C)80 Ω
(D)120 Ω

Q266·PhysicsSingle correctJEE Main 2020

In a building there are 15 bulbs of 45 W, 15 bulbs of 100 W, 15 small fans of 10 W and 2 heaters of 1 kW. The voltage of electric main is 220 V. The minimum fuse capacity (rated value) of the building will be

(A)10 A
(B)20 A
(C)25 A
(D)15 A

Q267·PhysicsSingle correctJEE Main 2020

The current

I_1

(in A) flowing through 1

\Omega

resistor in the following circuit is

(A)0.25
(B)0.4
(C)0.2
(D)0.5

Q268·PhysicsNumericalJEE Main 2020

The balancing length for a cell is 560 cm in a potentiometer experiment. When an external resistance of 10

\Omega

is connected in parallel to the cell, the balancing length changes by 60 cm. If the internal resistance of the cell is

\dfrac{N}{10}\Omega

, where N is an integer then value of N is __________.

Q269·PhysicsSingle correctJEE Main 2019

A galvanometer of resistance 100

\Omega

has 50 divisions on its scale and has sensitivity of 20

\mu

A / division. It is to be converted to a voltmeter with three ranges, of 0–2 V, 0–10 V and 0–20 V. The appropriate circuit to do so is :

(A)(A)
(B)(B)
(C)(C)
(D)(D)

Q270·PhysicsSingle correctJEE Main 2019

A current of 5 A passes through a copper conductor (resistivity =

1.7 \times 10^{-8}

\Omega

m) of radius of cross-section 5 mm. Find the mobility of the charges if their drift velocity is

1.1 \times 10^{-3}

m/s.

(A)1.8 m $^{2}$ /Vs
(B)1.0 m $^{2}$ /Vs
(C)1.3 m $^{2}$ /Vs
(D)1.5 m $^{2}$ /Vs

Q271·PhysicsSingle correctJEE Main 2019

In the given circuit, an ideal voltmeter connected across the 10 Ω resistance reads 2 V. The internal resistance r, of each cell is:

(A)1 Ω
(B)0.5 Ω
(C)1.5 Ω
(D)0 Ω

Q272·PhysicsSingle correctJEE Main 2019

Space between two concentric conducting spheres of radii a and b (b >a) is filled with a medium of resistivity ρ. The resistance between the two spheres will be

(A) $\dfrac{ρ}{2π}\left(\dfrac{1}{a} + \dfrac{1}{b}\right)$
(B) $\dfrac{ρ}{2π}\left(\dfrac{1}{a} - \dfrac{1}{b}\right)$
(C) $\dfrac{ρ}{4π}\left(\dfrac{1}{a} + \dfrac{1}{b}\right)$
(D) $\dfrac{ρ}{4π}\left(\dfrac{1}{a} - \dfrac{1}{b}\right)$

Q273·PhysicsSingle correctJEE Main 2019

In a conductor, if the number of conduction electrons per unit volume is 8.5

\times

10

^{28}

m

^{-3}

and mean free time is 25fs (femto second), its approximate resistivity is:

(m_{e} = 9.1 \times 10^{-31} kg)

(A)10 $^{-5}$ $\Omega$ m
(B)10 $^{-6}$ $\Omega$ m
(C)10 $^{-7}$ $\Omega$ m
(D)10 $^{-8}$ $\Omega$ m

Q274·PhysicsSingle correctJEE Main 2019

Determine the charge on the capacitor in the following circuit:

(A)200 μC
(B)60 μC
(C)10 μC
(D)2 μC

Q275·PhysicsSingle correctJEE Main 2019

A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between E and C is: (E is mid-point of arm CD)

(A) $\dfrac{1}{16}$ R
(B) $\dfrac{7}{64}$ R
(C) $\dfrac{3}{4}$ R
(D)R

Q276·PhysicsSingle correctJEE Main 2019

A metal wire of resistance

3\Omega

is elongated to make a uniform wire of double its previous length. The new wire is now bent and the ends joined to make a circle. If two points on this circle make an angle

60^{0}

at the centre, the equivalent resistance between these two points will be:

(A) $\dfrac{12}{5}\Omega$
(B) $\dfrac{5}{3}\Omega$
(C) $\dfrac{5}{2}\Omega$
(D) $\dfrac{7}{2}\Omega$

Q277·PhysicsSingle correctJEE Main 2019

The resistance of a galvanometer is 50 ohm and the maximum current which can be passed through it is 0.002 A. What resistance must be connected to it in order to convert it into an ammeter of range 0 – 0.5 A?

(A)0.2 ohm
(B)0.002 ohm
(C)0.02 ohm
(D)0.5 ohm

Q278·PhysicsSingle correctJEE Main 2019

A

200\Omega

resistor has a certain color code. If one replaces the red color by green in the code, the new resistance will be:

(A) $500\Omega$
(B) $400\Omega$
(C) $300\Omega$
(D) $100\Omega$

Q279·PhysicsSingle correctJEE Main 2019

In the figure shown, what is the current (in Ampere) drawn from the battery? You are given

R_1 = 15\Omega, R_2 = 10\Omega, R_3 = 20\Omega, R_4 = 5\Omega, R_5 = 25\Omega, R_6 = 30\Omega, E = 15V

(A) $13/24$
(B) $7/18$
(C) $9/32$
(D) $20/3$

Q280·PhysicsSingle correctJEE Main 2019

A cell of internal resistance r drives current through an external resistance R. The power delivered by the cell to the external resistance will be maximum when:

(A)R = 0.001 r
(B)R = 1000 r
(C)R = 2r
(D)R = r

Q281·PhysicsSingle correctJEE Main 2019

For the circuit shown, with

R_1=1.0\Omega

,

R_2=2.0\Omega

,

E_1=2V

and

E_2=E_3=4V

, the potential difference between the points 'a' and 'b' is approximately (in V):

(A)3.3
(B)2.3
(C)3.7
(D)2.7

Q282·PhysicsSingle correctJEE Main 2019

In the circuit shown, a four wire potentiometer is made of a 400 cm long wire, which extends between A and B. The resistance per unit length of the potentiometer wire is r = 0.01

\Omega

/cm. If an ideal voltmeter is connected as shown with jockey J at 50 cm from end A, the expected reading of the voltmeter will be:

(A)0.75V
(B)0.20V
(C)0.25V
(D)0.50V

Q283·PhysicsSingle correctJEE Main 2019

In a meter bridge, the wire of length 1 m has a non-uniform cross-section such that, the variation

\frac{dR}{d\ell}

of its resistance R with length

\ell

is

\frac{dR}{d\ell} \propto \frac{1}{\sqrt{\ell}}

. Two equal resistances are connected as shown in the figure. The galvanometer has zero deflection when the jockey is at point P. What is the length AP?

(A)0.2 m
(B)0.3 m
(C)0.25 m
(D)0.35 m

Q284·PhysicsSingle correctJEE Main 2019

In the given circuit diagram, the currents, I

_{1}

= −0.3 A, I

_{4}

= 0.8 A and I

_{5}

= 0.4 A, are flowing as shown. The currents I

_{2}

, I

_{3}

and I

_{6}

, respectively are :

(A)1.1 A, −0.4 A, 0.4 A
(B)1.1 A, 0.4 A, 0.4 A
(C)0.4 A, 1.1 A, 0.4 A
(D)−0.4 A, 0.4 A, 1.1 A

Q285·PhysicsSingle correctJEE Main 2019

An ideal battery of 4 V and resistance R are connected in series in the primary circuit of a potentiometer of length 1 m and resistance 5

\Omega

. The value of R, to give a difference of 5 mV across 10 cm of potentiometer wire, is:

(A)490 $\Omega$
(B)480 $\Omega$
(C)395 $\Omega$
(D)495 $\Omega$

Q286·PhysicsSingle correctJEE Main 2019

The galvanometer deflection, when key

K_1

is closed but

K_2

is open, equals

\theta_0

(see figure). On closing

K_2

also and adjusting

R_2

to 5

\Omega

, the deflection in galvanometer becomes

\dfrac{\theta_0}{5}

. The resistance of the galvanometer is, then, given by [Neglect the internal resistance of battery]:

(A)5 $\Omega$
(B)22 $\Omega$
(C)25 $\Omega$
(D)12 $\Omega$

Q287·PhysicsSingle correctJEE Main 2019

A galvanometer, whose resistance is 50 ohm, has 25 divisions in it. When a current of

4 \times 10^{-4}

A passes through it, its needle (pointer) deflects by one division. To use this galvanometer as a voltmeter of range 2.5 V, it should be connected to a resistance of :

(A)250 ohm
(B)200 ohm
(C)6200 ohm
(D)6250 ohm

Q288·PhysicsSingle correctJEE Main 2019

Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in series across a 220 V voltage source. If the 25 W and 100 W bulbs draw powers P

_{1}

and P

_{2}

respectively, then:

(A)P $_{1}$ = 16 W, P $_{2}$ = 4 W
(B)P $_{1}$ = 16 W, P $_{2}$ = 9 W
(C)P $_{1}$ = 9 W, P $_{2}$ = 16 W
(D)P $_{1}$ = 4 W, P $_{2}$ = 16 W

Q289·PhysicsSingle correctJEE Main 2019

The charge on a capacitor plate in a circuit, as a function of time, is shown in the figure : What is the value of current at t = 4 s?

(A)zero
(B)3 μA
(C)2 μA
(D)1.5 μA

Q290·PhysicsSingle correctJEE Main 2019

Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are now connected in parallel combination to the same battery, the electric power consumed will be.

(A)60 W
(B)240 W
(C)120 W
(D)30 W

Q291·PhysicsSingle correctJEE Main 2019

In the circuit shown, the potential difference between A and B is:

(A)1 V
(B)2 V
(C)3 V
(D)6 V

Q292·PhysicsSingle correctJEE Main 2019

A galvanometer having a resistance of 20 Ω and 30 divisions on both sides has figure of merit 0.005 ampere /division. The resistance that should be connected in series such that it can be used as a voltmeter upto 15 volt is:

(A)100 Ω
(B)120 Ω
(C)80 Ω
(D)125 Ω

Q293·PhysicsSingle correctJEE Main 2019

The resistance of the meter bridge AB in given figure is

4\ \Omega

. With a cell of emf

\varepsilon

= 005 V and rheostat resistance

R_h = 2\ \Omega

the null point is obtained at some point J. When the cell is replaced by another one of emf

\varepsilon = \varepsilon_2

the same null point J is found for

R_h = 6\ \Omega

. The emf

\varepsilon_2

is:

(A)0.4V
(B)0.3V
(C)0.6V
(D)0.5V

Q294·PhysicsSingle correctJEE Main 2019

In the given circuit the cells have zero internal resistance. The currents (in Amperes) passing through resistance

R_{1}

and

R_{2}

respectively, are:

(A)1, 2
(B)2, 2
(C)0.5, 0
(D)0, 1

Q295·PhysicsSingle correctJEE Main 2019

A uniform metallic wire has a resistance of 18

\Omega

and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is:

(A)4 $\Omega$
(B)8 $\Omega$
(C)12 $\Omega$
(D)2 $\Omega$

Q296·PhysicsSingle correctJEE Main 2019

A potentiometer wire AB having length L and resistance 12 r is joined to a cell D of emf

\varepsilon

and internal resistance r. A cell C having emf

\varepsilon

/2 and internal resistance 3r is connected. The length AJ at which the galvanometer as shown in figure shows no deflection is:

(A) $\dfrac{11}{12}$ L
(B) $\dfrac{11}{24}$ L
(C) $\dfrac{13}{24}$ L
(D) $\dfrac{5}{12}$ L

Q297·PhysicsSingle correctJEE Main 2019

When the switch S, in the circuit shown, is closed, then the value of current i will be

(A)3 A
(B)5 A
(C)4 A
(D)2 A

Q298·PhysicsSingle correctJEE Main 2019

A copper wire is stretched to make it 0.5% longer. The percentage change in its electric resistance if its volume remains unchanged is

(A)2.0%
(B)2.5%
(C)1.0%
(D)0.5%

Q299·PhysicsSingle correctJEE Main 2019

Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section 5 mm

^{2}

, is v. If the electron density in copper is

9 \times 10^{28}

/m

^{3}

the value of v in mm/s is close to (Take charge of electron to be =

1.6 \times 10^{-19}

C)

(A)0.02
(B)3
(C)2
(D)0.2

Q300·PhysicsSingle correctJEE Main 2019

In the given circuit the internal resistance of the 18 V cell is negligible. If R

_1

= 400 Ω, R

_3

= 100 Ω and R

_4

= 500 Ω and the reading of an ideal voltmeter across R

_4

is 5 V, then the value of R

_2

will be

(A)300 Ω
(B)450 Ω
(C)550 Ω
(D)230 Ω

Q301·PhysicsNumericalJEE Advanced 2018

A moving coil galvanometer has 50 turns and each turn has an area

2 \times 10^{-4}

m

^{2}

. The magnetic field produced by the magnet inside the galvanometer is 0.02 T. The torsional constant of the suspension wire is

10^{-4}

N m rad

^{-1}

. When a current flows through the galvanometer, a full scale deflection occurs if the coil rotates by 0.2 rad. The resistance of the coil of the galvanometer is 50

\Omega

. This galvanometer is to be converted into an ammeter capable of measuring current in the range

0 - 1.0

A. For this purpose, a shunt resistance is to be added in parallel to the galvanometer. The value of this shunt resistance, in ohms, is ___________.

Q302·PhysicsMultiple correctJEE Advanced 2016

An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing an electric current. The hot filament emits black-body radiation. The filament is observed to break up at random locations after a sufficiently long time of operation due to non-uniform evaporation of tungsten from the filament. If the bulb is powered at constant voltage, which of the following statement(s) is(are) true?

(A)The temperature distribution over the filament is uniform
(B)The resistance over small sections of the filament decreases with time
(C)The filament emits more light at higher band of frequencies before it breaks up
(D)The filament consumes less electrical power towards the end of the life of the bulb

Q303·PhysicsMultiple correctJEE Advanced 2016

Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers

R_{C} < R/2

, which of the following statement(s) about any one of the galvanometers is(are) true?

(A)The maximum voltage range is obtained when all the components are connected in series
(B)The maximum voltage range is obtained when the two resistors and one galvanometer are connected in series, and the second galvanometer is connected in parallel to the first galvanometer
(C)The maximum current range is obtained when all the components are connected in parallel
(D)The maximum current range is obtained when the two galvanometers are connected in series and the combination is connected in parallel with both the resistors

Q304·PhysicsSingle correctJEE Advanced 2016

An infinite line charge of uniform electric charge density

\lambda

lies along the axis of an electrically conducting infinite cylindrical shell of radius R. At time

t = 0

, the space inside the cylinder is filled with a material of permittivity

\varepsilon

and electrical conductivity

\sigma

. The electrical conduction in the material follows Ohm's law. Which one of the following graphs best describes the subsequent variation of the magnitude of current density

j(t)

at any point in the material?

(A)(A)
(B)(B)
(C)(C)
(D)(D)

Q305·PhysicsMultiple correctJEE Advanced 2015

In an aluminium (Al) bar of square cross section, a square hole is drilled and is filled with iron (Fe) as shown in the figure. The electrical resistivities of Al and Fe are

2.7 \times 10^{-8}\ \Omega

m and

1.0 \times 10^{-7}\ \Omega

m, respectively. The electrical resistance between the two faces P and Q of the composite bar is

(A) $\dfrac{2475}{64}\ \mu\Omega$
(B) $\dfrac{1875}{64}\ \mu\Omega$
(C) $\dfrac{1875}{49}\ \mu\Omega$
(D) $\dfrac{2475}{132}\ \mu\Omega$

Q306·PhysicsIntegerJEE Advanced 2015

In the following circuit, the current through the resistor R

(= 2\Omega)

is I Amperes. The value of I is

Q307·PhysicsIntegerJEE Advanced 2014

A galvanometer gives full scale deflection with

0.006 \text{ A}

current. By connecting it to a

4990 \Omega

resistance, it can be converted into a voltmeter of range

0-30 \text{ V}

. If connected to a

\frac{2n}{249} \Omega

resistance, it becomes an ammeter of range

0-1.5 \text{ A}

. The value of

n

is

Q308·PhysicsMultiple correctJEE Advanced 2014

Heater of an electric kettle is made of a wire of length

L

and diameter

d

. It takes

4

minutes to raise the temperature of

0.5 \text{ kg}

water by

40 \text{ K}

. This heater is replaced by a new heater having two wires of the same material, each of length

L

and diameter

2d

. The way these wires are connected is given in the options. How much time in minutes will it take to raise the temperature of the same amount of water by

40 \text{ K}

?

(A) $4$ if wires are in parallel
(B) $2$ if wires are in series
(C) $1$ if wires are in series
(D) $0.5$ if wires are in parallel

Q309·PhysicsMultiple correctJEE Advanced 2014

Two ideal batteries of emf

V_1

and

V_2

and three resistances

R_1

,

R_2

and

R_3

are connected as shown in the figure. The current in resistance

R_2

would be zero if

(A) $V_1 = V_2$ and $R_1 = R_2 = R_3$
(B) $V_1 = V_2$ and $R_1 = 2R_2 = R_3$
(C) $V_1 = 2V_2$ and $2R_1 = 2R_2 = R_3$
(D) $2V_1 = V_2$ and $2R_1 = R_2 = R_3$

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