JEE Main 10 April 2023 Shift 2 Question Paper

Question 1

Let $f$ be a continuous function satisfying $\int_0^{t^2}\left(f(x)+x^2\right)dx=\frac{4}{3}t^3,\ \forall\ t>0$. Then $f\left(\frac{\pi^2}{4}\right)$ is equal to:

Accepted Answer

(A) $\pi\left(1-\frac{\pi^3}{16}\right)$

Answer

(B) $-\pi^2\left(1+\frac{\pi^2}{16}\right)$

Answer

(C) $-\pi\left(1+\frac{\pi^2}{16}\right)$

Answer

(D) $\pi^2\left(1-\frac{\pi^2}{16}\right)$

Question 2

Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways, in which they can be transported, is:

Accepted Answer

(B) $1680$

Answer

(A) $3360$

Answer

(C) $560$

Answer

(D) $1120$

Question 3

If $\int\left(\left(\frac{x}{e}\right)^{2x}+\left(\frac{e}{x}\right)^{2x}\right)\log_e x\,dx=\frac{1}{\alpha}\left(\frac{x}{e}\right)^{2x}-\frac{1}{\gamma}\left(\frac{e}{x}\right)^{2x}+C$, where $C$ is the constant of integration, then $\alpha+2\beta+3\gamma-4\delta$ is equal to:

Accepted Answer

(D) $4$

Answer

(A) $1$

Answer

(B) $-4$

Answer

(C) $-8$

Question 4

Let the image of the point $P(1,2,6)$ in the plane passing through the points $A(1,2,0)$, $B(1,4,1)$ and $C(0,5,1)$ be $Q(\alpha,\beta,\gamma)$. Then $(\alpha^2+\beta^2+\gamma^2)$ is equal to:

Accepted Answer

(A) $65$

Answer

(B) $70$

Answer

(C) $76$

Answer

(D) $62$

Question 5

Let $A=\{2,3,4\}$ and $B=\{8,9,12\}$. Then the number of elements in the relation $R=\{((a_1,b_1),(a_2,b_2))\in(A	imes B,\ A	imes B):a_1	ext{ divides }b_2	ext{ and }a_2	ext{ divides }b_1\}$ is:

Accepted Answer

(A) $36$

Answer

(B) $12$

Answer

(C) $18$

Answer

(D) $24$

Question 6

If $A=\frac{1}{5!\,6!\,7!}\begin{bmatrix}5! & 6! & 7!\ 6! & 7! & 8!\ 7! & 8! & 9!\end{bmatrix}$, then $\left|\mathrm{adj}\left(\mathrm{adj}(2A)ight)ight|$ is equal to:

Accepted Answer

(D) $2^{16}$

Answer

(A) $2^8$

Answer

(B) $2^{12}$

Answer

(C) $2^{20}$

Question 7

Let A be the point $(1,2)$ and B be any point on the curve $x^2+y^2=16$. If the centre of the locus of the point P, which divides the line segment AB in the ratio $3:2$, is the point $C(\alpha,\beta)$, then the length of the line segment AC is:

Accepted Answer

(D) $\frac{3\sqrt{5}}{5}$

Answer

(A) $\frac{6\sqrt{5}}{5}$

Answer

(B) $\frac{4\sqrt{5}}{5}$

Answer

(C) $\frac{2\sqrt{5}}{5}$

Question 8

Let a die be rolled $n$ times. Let the probability of getting odd numbers seven times be equal to the probability of getting odd numbers nine times. If the probability of getting even numbers twice is $\frac{k}{2^{15}}$, then $k$ is equal to:

Accepted Answer

(D) $60$

Answer

(A) $30$

Answer

(B) $90$

Answer

(C) $15$

Question 9

Let $g(x)=f(x)+f(1-x)$ and $f''(x)>0,\ x\in(0,1)$. If $g$ is decreasing in the interval $(0,\alpha)$ and increasing in the interval $(\alpha,1)$, then $	an^{-1}(2x)+	an^{-1}\left(\frac{1}{\alpha}ight)+	an^{-1}\left(\frac{\alpha+1}{\alpha}ight)$ is equal to:

Accepted Answer

(B) $\pi$

Answer

(A) $\frac{3\pi}{2}$

Answer

(C) $\frac{5\pi}{4}$

Answer

(D) $\frac{3\pi}{4}$

Question 10

Let a circle of radius $4$ be concentric to the ellipse $15x^2+19y^2=285$. Then the common tangents are inclined to the minor axis of the ellipse at the angle:

Accepted Answer

(B) $\frac{\pi}{3}$

Answer

(A) $\frac{\pi}{4}$

Answer

(C) $\frac{\pi}{12}$

Answer

(D) $\frac{\pi}{6}$

Question 11

Let $\vec{a}=2\hat{i}+7\hat{j}-\hat{k}$, $\vec{b}=3\hat{i}+5\hat{k}$ and $\vec{c}=\hat{i}-\hat{j}+2\hat{k}$. Let $\vec{d}$ be a vector which is perpendicular to both $\vec{a}$ and $\vec{b}$, and $\vec{c}\cdot\vec{d}=12$. Then $\left(-\hat{i}+\hat{j}-\hat{k}ight)\cdot\left(\vec{c}	imes\vec{d}ight)$ is equal to:

Accepted Answer

(C) $44$

Answer

(A) $48$

Answer

(B) $42$

Answer

(D) $24$

Question 12

If $S_n=4+11+21+34+50+\ldots$ to $n$ terms, then $\frac{1}{60}\left(S_{29}-S_6\right)$ is equal to:

Accepted Answer

(C) $223$

Answer

(A) $226$

Answer

(B) $220$

Answer

(D) $227$

Question 13

If the points P and Q are respectively the circumcentre and the orthocentre of a $	riangle ABC$, then $\overrightarrow{PA}+\overrightarrow{PB}+\overrightarrow{PC}$ is equal to:

Accepted Answer

(D) $\overrightarrow{PQ}$

Answer

(A) $2\overrightarrow{QP}$

Answer

(B) $\overrightarrow{QP}$

Answer

(C) $2\overrightarrow{PQ}$

Question 14

The statement $\sim[p\vee(\sim(p\wedge q))]$ is equivalent to:

Accepted Answer

(D) $(p\wedge q)\wedge(\sim p)$

Answer

(A) $\sim(p\wedge q)\wedge q$

Answer

(B) $\sim(p\wedge q)$

Answer

(C) $\sim p\vee q$

Question 15

Let $S=\left\{x\in\left(-\frac{\pi}{2},\frac{\pi}{2}ight):9^{1-	an^2 x}+9^{	an^2 x}=10ight\}$ and $\beta=\sum_{x\in S}	an^2\left(\frac{x}{3}ight)$, then $\frac{1}{6}(\beta-14)^2$ is equal to:

Accepted Answer

(A) $32$

Answer

(B) $8$

Answer

(C) $64$

Answer

(D) $16$

Question 16

If the coefficients of $x$ and $x^2$ in $(1+x)^p(1-x)^q$ are $4$ and $-5$ respectively, then $2p+3q$ is equal to:

Accepted Answer

(A) $63$

Answer

(B) $69$

Answer

(C) $66$

Answer

(D) $60$

Question 17

Let the line $\frac{x}{1}=\frac{6-y}{-2}=\frac{z+8}{5}$ intersect the lines $\frac{x-5}{4}=\frac{y-7}{3}=\frac{z+2}{1}$ and $\frac{x+3}{6}=\frac{3-y}{3}=\frac{z-6}{1}$ at the points A and B respectively. Then the distance of the mid-point of the line segment AB from the plane $2x-2y+z=14$ is:

Accepted Answer

(A) $4$

Answer

(B) $\frac{10}{3}$

Answer

(C) $3$

Answer

(D) $\frac{11}{3}$

Question 18

Let $S=\left\{z=x+iy:\frac{2z-3i}{4z+2i}	ext{ is a real number}ight\}$. Then which of the following is NOT correct?

Accepted Answer

(C) $(x,y)=\left(0,-\frac{1}{2}\right)$

Answer

(A) $y+x^2+y^2
e-\frac{1}{4}$

Answer

(B) $x=0$

Answer

(D) $y\in\left(-\infty,-\frac{1}{2}\right)\cup\left(-\frac{1}{2},\infty\right)$

Question 19

If $(22)^{2022}+(2022)^{22}$ leaves the remainder $\alpha$ when divided by $3$ and $\beta$ when divided by $7$, then $(\alpha^2+\beta^2)$ is equal to:

Accepted Answer

(B) $5$

Answer

(A) $10$

Answer

(C) $20$

Answer

(D) $13$

Question 20

Let $\mu$ be the mean and $\sigma$ be the standard deviation of the distribution with values $x_i=0,1,2,3,4,5$ and frequencies $f_i=k+2,\,2k,\,k^2-1,\,k^2-1,\,k^2+1,\,k-3$ respectively, where $\sum f_i=62$. If $[x]$ denotes the greatest integer $\le x$, then $[\mu^2+\sigma^2]$ is equal to:

Accepted Answer

(A) $8$

Answer

(B) $7$

Answer

(C) $6$

Answer

(D) $9$

Question 21

Let the equations of two adjacent sides of a parallelogram ABCD be $2x-3y=-23$ and $5x+4y=23$. If the equation of one diagonal AC is $3x+7y=23$ and the distance of A from the other diagonal is $d$, then $50\,d^2$ is equal to _______ .

Accepted Answer

529

Question 22

Let S be the set of values of $\lambda$ for which the system of equations $6\lambda x-3y+3z=4\lambda^2$, $2x+6\lambda y+4z=1$, $3x+2y+3\lambda z=\lambda$ has no solution. Then $12\sum_{\lambda\in S}|\lambda|$ is equal to _______ .

Accepted Answer

24

Question 23

Let the foot of perpendicular from the point $A(4,3,1)$ on the plane $P:x-y+2z+3=0$ be N. If $B(5,\alpha,\beta),\ \alpha,\beta\in\mathbb{Z}$ is a point on plane P such that the area of the triangle ABN is $3\sqrt{2}$, then $\alpha^2+\beta^2+\alpha\beta$ is equal to _______ .

Accepted Answer

7

Question 24

Let a quadratic curve passing through the point $(-1,0)$ and touching the line $y=x$ at $(1,1)$ be $y=f(x)$. Then the x-intercept of the normal to the curve at the point $(\alpha,\alpha+1)$ in the first quadrant is _______ .

Accepted Answer

11

Question 25

Let the tangent at any point P on a curve passing through the points $(1,1)$ and $\left(\frac{1}{10},100\right)$, intersect the positive x-axis and y-axis at the points A and B respectively. If $PA:PB=1:k$ and $y=y(x)$ is the solution of the differential equation $e^{\frac{dy}{dx}}=kx+\frac{k}{2}$, $y(0)=k$, then $4y(1)-5\log_e 3$ is equal to _______ .

Accepted Answer

6

Question 26

Suppose $a_1,a_2,2,a_3,a_4$ be in an arithmetico-geometric progression. If the common ratio of the corresponding geometric progression is $2$ and the sum of all $5$ terms of the arithmetico-geometric progression is $\frac{49}{2}$, then $a_4$ is equal to _______ .

Accepted Answer

16

Question 27

If the domain of the function $f(x)=\sec^{-1}\left(\frac{2x}{5x+3}\right)$ is $[\alpha,\beta)\cup(\gamma,\delta]$, then $\left|3\alpha+10(\beta+\gamma)+21\delta\right|$ is equal to _______ .

Accepted Answer

24

Question 28

The sum of all the four-digit numbers that can be formed using all the digits $2,1,2,3$ is equal to _______ .

Accepted Answer

26664

Question 29

In the figure, $	heta_1+	heta_2=\frac{\pi}{2}$ and $\sqrt{3}\,(\mathrm{BE})=4(\mathrm{AB})$. If the area of $	riangle CAB$ is $2\sqrt{3}-3$ unit$^2$, when $\frac{	heta_1}{	heta_2}$ is the largest, then the perimeter (in unit) of $	riangle CED$ is equal to _______ .

Accepted Answer

6

Question 30

If the area of the region $\{(x,y):|x^2-2|\le y\le x\}$ is A, then $6A+16\sqrt{2}$ is equal to _______ .

Accepted Answer

27

Question 31

A person travels $x$ distance with velocity $v_1$ and then $x$ distance with velocity $v_2$ in the same direction. If the average velocity of the person is $v$, then the relation between $v$, $v_1$ and $v_2$ will be:

Accepted Answer

(C) $	frac{2}{v}=	frac{1}{v_1}+	frac{1}{v_2}$

Answer

(A) $v=v_1+v_2$

Answer

(B) $v=	frac{v_1+v_2}{2}$

Answer

(D) $	frac{1}{v}=	frac{1}{v_1}+	frac{1}{v_2}$

Question 32

The half-life of a radioactive substance is T. The time taken for disintegrating $	frac{7}{8}$th part of its original mass will be:

Accepted Answer

(A) $3T$

Answer

(B) $8T$

Answer

(C) $T$

Answer

(D) $2T$

Question 33

A gas mixture consists of $2$ moles of oxygen and $4$ moles of neon at temperature T. Neglecting all vibrational modes, the total internal energy of the system will be:

Accepted Answer

(D) $11\,RT$

Answer

(A) $8\,RT$

Answer

(B) $16\,RT$

Answer

(C) $4\,RT$

Question 34

In an experiment with Vernier callipers of least count $0.1$ mm, when the two jaws are joined together the zero of the Vernier scale lies to the right of the zero of the main scale and the $6^{th}$ division of the Vernier scale coincides with a main scale division. While measuring the diameter of a spherical bob, the zero of the Vernier scale lies in between $3.2$ cm and $3.3$ cm marks, and the $4^{th}$ division of the Vernier scale coincides with a main scale division. The diameter of the bob is measured as:

Accepted Answer

(A) $3.18$ cm

Answer

(B) $3.25$ cm

Answer

(C) $3.26$ cm

Answer

(D) $3.22$ cm

Question 35

Given below are two statements:
Statement I: For a diamagnetic substance $-1\le\chi<0$, where $\chi$ is the magnetic susceptibility.
Statement II: Diamagnetic substances, when placed in an external magnetic field, tend to move from the stronger to the weaker part of the field.
In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

(B) Both Statement I and Statement II are true

Answer

(A) Both Statement I and Statement II are false

Answer

(C) Statement I is incorrect but Statement II is true

Answer

(D) Statement I is correct but Statement II is false

Question 36

The distance between two plates of a capacitor is $d$ and its capacitance is $C_1$ when air is the medium between the plates. If a metal sheet of thickness $	frac{2d}{3}$ and of the same area as the plates is introduced between the plates, the capacitance of the capacitor becomes $C_2$. The ratio $	frac{C_2}{C_1}$ is:

Accepted Answer

(C) $3:1$

Answer

(A) $2:1$

Answer

(B) $4:1$

Answer

(D) $1:1$

Question 37

Given below are two statements:
Statement I: Rotation of the earth shows effect on the value of acceleration due to gravity (g).
Statement II: The effect of rotation of the earth on the value of 'g' at the equator is minimum and that at the pole is maximum.
In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

(B) Statement I is true but Statement II is false

Answer

(A) Statement I is false but Statement II is true

Answer

(C) Both Statement I and Statement II are true

Answer

(D) Both Statement I and Statement II are false

Question 38

The time period of a satellite, revolving above the earth's surface at a height equal to R, will be (given $g=\pi^2$ m/s$^2$, R = radius of earth):

Accepted Answer

(C) $\sqrt{32R}$

Answer

(A) $\sqrt{4R}$

Answer

(B) $\sqrt{8R}$

Answer

(D) $\sqrt{2R}$

Question 39

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: An electric fan continues to rotate for some time after the current is switched off.
Reason R: Fan continues to rotate due to inertia of motion.
In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

(B) Both A and R are correct and R is the correct explanation of A

Answer

(A) A is correct but R is not correct

Answer

(C) A is not correct but R is correct

Answer

(D) Both A and R are correct but R is NOT the correct explanation of A

Question 40

The amplitude of the magnetic field in an electromagnetic wave propagating along the y-axis is $6.0	imes10^{-7}$ T. The maximum value of the electric field in the electromagnetic wave is:

Accepted Answer

(B) $180$ Vm$^{-1}$

Answer

(A) $5	imes10^{14}$ Vm$^{-1}$

Answer

(C) $2	imes10^{15}$ Vm$^{-1}$

Answer

(D) $6.0	imes10^{-7}$ Vm$^{-1}$

Question 41

A gas is compressed adiabatically. Which one of the following statements is NOT true?

Accepted Answer

(D) There is no change in the internal energy

Answer

(A) There is no heat supplied to the system

Answer

(B) The temperature of the gas increases

Answer

(C) The change in the internal energy is equal to the work done on the gas

Question 42

The ratio of intensities at two points P and Q on the screen in a Young's double slit experiment, where the phase differences between the two waves of same amplitude are $	frac{\pi}{3}$ and $	frac{\pi}{2}$ respectively, is:

Accepted Answer

(C) $3:2$

Answer

(A) $1:3$

Answer

(B) $3:1$

Answer

(D) $2:3$

Question 43

The variation of stopping potential $(V_0)$ as a function of the frequency $(
u)$ of the incident light for a metal is shown in the figure. The work function of the surface is:

Accepted Answer

(C) $2.07$ eV

Answer

(A) $18.6$ eV

Answer

(B) $2.98$ eV

Answer

(D) $1.36$ eV

Question 44

For a periodic motion represented by the equation $Y=\sin\omega t+\cos\omega t$, the amplitude of the motion is:

Accepted Answer

(B) $\sqrt{2}$

Answer

(A) $0.5$

Answer

(C) $1$

Answer

(D) $2$

Question 45

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

Accepted Answer

(B) move in curved paths from lower potential to higher potential

Answer

(A) drift from higher potential to lower potential

Answer

(C) move with uniform velocity throughout from lower potential to higher potential

Answer

(D) move in straight line paths in the same direction

Question 46

Young's moduli of the materials of wires A and B are in the ratio $1:4$, while their areas of cross sections are in the ratio $1:3$. If the same amount of load is applied to both the wires, the amount of elongation produced in the wires A and B will be in the ratio of [assume the lengths of wires A and B are the same]:

Accepted Answer

(B) $12:1$

Answer

(A) $36:1$

Answer

(C) $1:36$

Answer

(D) $1:12$

Question 47

Two projectiles are projected at $30^\circ$ and $60^\circ$ with the horizontal with the same speed. The ratio of the maximum heights attained by the two projectiles respectively is:

Accepted Answer

(C) $1:3$

Answer

(A) $2:\sqrt{3}$

Answer

(B) $\sqrt{3}:1$

Answer

(D) $1:\sqrt{3}$

Question 48

A message signal of frequency $3$ kHz is used to modulate a carrier signal of frequency $1.5$ MHz. The bandwidth of the amplitude modulated wave is:

Accepted Answer

(D) $6$ kHz

Answer

(A) $3$ kHz

Answer

(B) $6$ MHz

Answer

(C) $3$ MHz

Question 49

If each diode has a forward bias resistance of $25\,\Omega$ in the circuit shown in the figure, which of the following options is correct:

Accepted Answer

(D) $	frac{I_1}{I_2}=2$

Answer

(A) $	frac{I_1}{I_4}=1$

Answer

(B) $	frac{I_3}{I_4}=1$

Answer

(C) $	frac{I_3}{I_2}=1$

Question 50

A bar magnet is released from rest along the axis of a very long vertical copper tube. After some time the magnet will:

Accepted Answer

(A) Move down with almost constant speed

Answer

(B) Oscillate inside the tube

Answer

(C) Move down with an acceleration greater than g

Answer

(D) Move down with an acceleration equal to g

Question 51

A square loop of side $2.0$ cm is placed inside a long solenoid that has $50$ turns per centimetre and carries a sinusoidally varying current of amplitude $2.5$ A and angular frequency $700$ rad s$^{-1}$. The central axes of the loop and the solenoid coincide. The amplitude of the emf induced in the loop is $x	imes10^{-4}$ V. The value of x is _______ (take $\pi=	frac{22}{7}$).

Accepted Answer

44

Question 52

A rectangular block of mass $5$ kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude $1$ m and time period $3.14$ s. The maximum force exerted by the spring on the block is _______ N.

Accepted Answer

20

Question 53

If $917$ Å is the lowest wavelength of the Lyman series, then the lowest wavelength of the Balmer series will be _______ Å.

Accepted Answer

3668

Question 54

The figure shows a liquid being pushed out of a tube by a piston having an area of cross section $2.0$ cm$^2$. The area of cross section at the outlet is $10$ mm$^2$. If the piston is pushed at a speed of $4$ cm s$^{-1}$, the speed of the outgoing fluid is _______ cm s$^{-1}$.

Accepted Answer

80

Question 55

A straight wire carrying a current of $14$ A is bent into a semicircular arc of radius $2.2$ cm as shown in the figure. The magnetic field produced by the current at the centre $(O)$ of the arc is _______ $	imes10^{-4}$ T.

Accepted Answer

2

Question 56

A point object $O$ is placed in front of two thin symmetrical coaxial convex lenses $L_1$ and $L_2$ with focal lengths $24$ cm and $9$ cm respectively. The distance between the two lenses is $10$ cm and the object is placed $6$ cm away from lens $L_1$ as shown in the figure. The distance between the object and the image formed by the system of two lenses is _______ cm.

Accepted Answer

34

Question 57

A rectangular parallelopiped is measured as $1$ cm $	imes$ $1$ cm $	imes$ $100$ cm. If its specific resistance is $3	imes10^{-7}\,\Omega$m, then the resistance between its two opposite rectangular faces will be _______ $	imes10^{-7}\,\Omega$.

Accepted Answer

3

Question 58

A force of $-P\hat{k}$ acts on the origin of the coordinate system. The torque about the point $(2,-3)$ is $P(a\hat{i}+b\hat{j})$. If the ratio $	frac{a}{b}=	frac{x}{2}$, then the value of x is _______ .

Accepted Answer

3

Question 59

The maximum load carried by an elevator is $1400$ kg ($600$ kg passengers + $800$ kg elevator), which is moving up with a uniform speed of $3$ ms$^{-1}$, and the frictional force acting on it is $2000$ N. The maximum power used by the motor is _______ kW ($g=10$ m/s$^2$).

Accepted Answer

48

Question 60

An electron revolves around an infinite cylindrical wire having uniform linear charge density $2	imes10^{-8}$ Cm$^{-1}$ in a circular path under the influence of the attractive electrostatic field as shown in the figure. The velocity with which it is revolving is $9	imes10^{x}$ m/s. (Given mass of electron $=9	imes10^{-31}$ kg). The value of x is _______ .

Accepted Answer

8

Question 61

Incorrect method of preparation for alcohols from the following is:

Accepted Answer

(A) Ozonolysis of alkene.

Answer

(B) Reaction of ketone with RMgBr followed by hydrolysis.

Answer

(C) Hydroboration-oxidation of alkene.

Answer

(D) Reaction of alkyl halide with aqueous NaOH.

Question 62

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: The energy required to form $	ext{Mg}^{2+}$ from Mg is much higher than that required to produce $	ext{Mg}^{+}$.
Reason R: $	ext{Mg}^{2+}$ is a small ion and carries more charge than $	ext{Mg}^{+}$.
In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

(D) Both A and R are true and R is the correct explanation of A.

Answer

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

Answer

(B) A is true but R is false.

Answer

(C) A is false but R is true.

Question 63

In a Carius tube, an organic compound 'X' is treated with sodium peroxide to form a mineral acid 'Y'. A solution of $	ext{BaCl}_2$ is added to 'Y' to form a precipitate 'Z'. 'Z' is used for the quantitative estimation of an extra element. 'X' could be:

Accepted Answer

(D) Methionine

Answer

(A) Cytosine

Answer

(B) Chloroxylenol

Answer

(C) A nucleotide

Question 64

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: $3.1500$ g of hydrated oxalic acid dissolved in water to make $250.0$ mL solution will result in $0.1$ M oxalic acid solution.
Reason R: Molar mass of hydrated oxalic acid is $126$ g mol$^{-1}$.
In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

(D) Both A and R are true and R is the correct explanation of A.

Answer

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

Answer

(B) A is false but R is true.

Answer

(C) A is true but R is false.

List I	List II
A. $[\text{Ti}(\text{H}_2\text{O})_6]^{3+}$	I. $-1.2$
B. $[\text{V}(\text{H}_2\text{O})_6]^{3+}$	II. $-0.6$
C. $[\text{Mn}(\text{H}_2\text{O})_6]^{3+}$	III. $0$
D. $[\text{Fe}(\text{H}_2\text{O})_6]^{3+}$	IV. $-0.8$

List I	List II
A. $16$ g of $\text{CH}_4(g)$	I.Weighs $28$ g
B. $1$ g of $\text{H}_2(g)$	II. $60.2\times10^{23}$ electrons
C. $1$ mole of $\text{N}_2(g)$	III.Weighs $32$ g
D. $0.5$ mol of $\text{SO}_2(g)$	IV.Occupies $11.4$ L volume at STP

JEE Main 10 April 2023 Shift 2 Question Paper with Answers

Physics — JEE Main 10 April 2023 Shift 2

Chemistry — JEE Main 10 April 2023 Shift 2

Mathematics — JEE Main 10 April 2023 Shift 2

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