JEE Main 24 January 2023 Shift 2 Question Paper

Question 1

If $f(x)=x^3-x^2f'(1)+xf''(2)-f'''(3),\ x\in\mathbb{R}$ then

Accepted Answer

(B) $2f(0)-f(1)+f(3)=f(2)$

Answer

(A) $f(1)+f(2)+f(3)=f(0)$

Answer

(C) $3f(1)+f(2)=f(3)$

Answer

(D) $f(3)-f(2)=f(1)$

Question 2

If the system of equations $x+2y+3z=3$, $4x+3y-4z=4$, $8x+4y+\lambda z=9+\mu$ has infinitely many solutions, then the ordered pair $(\lambda,\mu)$ is equal to:

Accepted Answer

(C) $\left(\dfrac{72}{5},-\dfrac{21}{5}\right)$

Answer

(A) $\left(-\dfrac{72}{5},\dfrac{21}{5}\right)$

Answer

(B) $\left(-\dfrac{72}{5},-\dfrac{21}{5}\right)$

Answer

(D) $\left(\dfrac{72}{5},\dfrac{21}{5}\right)$

Question 3

If $f(x)=\dfrac{2^{2x}}{2^{2x}+2},\ x\in\mathbb{R}$, then $f\left(\dfrac{1}{2023}\right)+f\left(\dfrac{2}{2023}\right)+\cdots+f\left(\dfrac{2022}{2023}\right)$ is equal to

Accepted Answer

(A) $1011$

Answer

(B) $2010$

Answer

(C) $1010$

Answer

(D) $2011$

Question 4

Let $\vec\alpha=4\hat i+3\hat j+5\hat k$ and $\vec\beta=\hat i+2\hat j-4\hat k$. Let $\vec{\beta_1}$ be parallel to $\vec\alpha$ and $\vec{\beta_2}$ be perpendicular to $\vec\alpha$. If $\vec\beta=\vec{\beta_1}+\vec{\beta_2}$, then the value of $5\vec{\beta_2}\cdot(\hat i+\hat j+\hat k)$ is

Accepted Answer

(A) $7$

Answer

(B) $9$

Answer

(C) $6$

Answer

(D) $11$

Question 5

Let $y=y(x)$ be the solution of the differential equation $(x^2-3y^2)dx+3xy\,dy=0,\ y(1)=1$. Then $6y^2(e)$ is equal to

Accepted Answer

(A) $2e^2$

Answer

(B) $3e^2$

Answer

(C) $e^2$

Answer

(D) $\dfrac32 e^2$

Question 6

The locus of the mid points of the chords of the circle $C_1:(x-4)^2+(y-5)^2=4$ which subtend an angle $	heta_i$ at the centre of the circle $C_1$, is a circle of radius $r_i$. If $	heta_1=\dfrac{\pi}{3},\ 	heta_3=\dfrac{2\pi}{3}$ and $r_1^2=r_2^2+r_3^2$, then $	heta_2$ is equal to

Accepted Answer

(B) $\dfrac{\pi}{2}$

Answer

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

Answer

(C) $\dfrac{\pi}{6}$

Answer

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

Question 7

The number of real solutions of the equation $3\left(x^2+\dfrac{1}{x^2}\right)-2\left(x+\dfrac{1}{x}\right)+5=0$, is

Accepted Answer

(A) $0$

Answer

(B) $3$

Answer

(C) $4$

Answer

(D) $2$

Question 8

Let A be a $3	imes3$ matrix such that $|\mathrm{adj}(\mathrm{adj}(\mathrm{adj}\,A))|=12^4$. Then $|A^{-1}\,\mathrm{adj}\,A|$ is equal to

Accepted Answer

(B) $2\sqrt3$

Answer

(A) $\sqrt6$

Answer

(C) $12$

Answer

(D) $1$

Question 9

$\displaystyle\int_{\frac{3\sqrt2}{4}}^{\frac{3\sqrt3}{4}}\dfrac{48}{\sqrt{9-4x^2}}\,dx$ is equal to

Accepted Answer

(A) $2\pi$

Answer

(B) $\dfrac{\pi}{6}$

Answer

(C) $\dfrac{\pi}{3}$

Answer

(D) $\dfrac{\pi}{2}$

Question 10

The number of square matrices of order $5$ with entries from the set $\{0,1\}$, such that the sum of all the elements in each row is $1$ and the sum of all the elements in each column is also $1$, is

Accepted Answer

(D) $120$

Answer

(A) $125$

Answer

(B) $225$

Answer

(C) $150$

Question 11

If $\left(^{30}C_1\right)^2+2\left(^{30}C_2\right)^2+3\left(^{30}C_3\right)^2+\cdots+30\left(^{30}C_{30}\right)^2=\dfrac{\alpha\,60!}{(30!)^2}$ then $\alpha$ is equal to:

Accepted Answer

(D) $15$

Answer

(A) $30$

Answer

(B) $10$

Answer

(C) $60$

Question 12

Let the plane containing the line of intersection of the planes $P_1:x+(\lambda+4)y+z=1$ and $P_2:2x+y+z=2$ pass through the points $(0,1,0)$ and $(1,0,1)$. Then the distance of the point $(2\lambda,\lambda,-\lambda)$ from the plane $P_2$ is

Accepted Answer

(B) $3\sqrt6$

Answer

(A) $4\sqrt6$

Answer

(C) $5\sqrt6$

Answer

(D) $2\sqrt6$

Question 13

Let $f(x)$ be a function such that $f(x+y)=f(x)\cdot f(y)$ for all $x,y\in\mathbb{N}$. If $f(1)=3$ and $\sum_{k=1}^{n}f(k)=3279$, then the value of $n$ is

Accepted Answer

(D) $7$

Answer

(A) $9$

Answer

(B) $6$

Answer

(C) $8$

Question 14

Let the six numbers $a_1,a_2,a_3,a_4,a_5,a_6$ be in A.P. and $a_1+a_3=10$. If the mean of these six numbers is $\dfrac{19}{2}$ and their variance is $\sigma^2$, then $8\sigma^2$ is equal to:

Accepted Answer

(A) $210$

Answer

(B) $220$

Answer

(C) $200$

Answer

(D) $105$

Question 15

The equations of the sides AB and AC of a triangle ABC are $(\lambda+1)x+\lambda y=4$ and $\lambda x+(1-\lambda)y+\lambda=0$ respectively. Its vertex A is on the y-axis and its orthocentre is $(1,2)$. The length of the tangent from the point C to the part of the parabola $y^2=6x$ in the first quadrant is:

Accepted Answer

(D) $2\sqrt2$

Answer

(A) $4$

Answer

(B) $2$

Answer

(C) $\sqrt6$

Question 16

Let $p$ and $q$ be two statements. Then $\sim(p\wedge(p\Rightarrow\sim q))$ is equivalent to

Accepted Answer

(C) $(\sim p)\vee q$

Answer

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

Answer

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

Answer

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

Question 17

The set of all values of $a$ for which $\lim_{x	o a}([x-5]-[2x+2])=0$, where $[\alpha]$ denotes the greatest integer less than or equal to $\alpha$, is equal to

Accepted Answer

(D) $(-7.5,-6.5)$

Answer

(A) $[-7.5,-6.5)$

Answer

(B) $[-7.5,-6.5]$

Answer

(C) $(-7.5,-6.5]$

Question 18

If the foot of the perpendicular drawn from $(1,9,7)$ to the line passing through the point $(3,2,1)$ and parallel to the planes $x+2y+z=0$ and $3y-z=3$ is $(\alpha,\beta,\gamma)$, then $\alpha+\beta+\gamma$ is equal to

Accepted Answer

(D) $5$

Answer

(A) $3$

Answer

(B) $1$

Answer

(C) $-1$

Question 19

The number of integers, greater than $7000$ that can be formed, using the digits $3,5,6,7,8$ without repetition, is

Accepted Answer

(A) $168$

Answer

(B) $220$

Answer

(C) $120$

Answer

(D) $48$

Question 20

The value of $\left(\dfrac{1+\sin\frac{2\pi}{9}+i\cos\frac{2\pi}{9}}{1+\sin\frac{2\pi}{9}-i\cos\frac{2\pi}{9}}\right)^3$ is

Accepted Answer

(A) $-\dfrac12(\sqrt3-i)$

Answer

(B) $-\dfrac12(1-i\sqrt3)$

Answer

(C) $\dfrac12(1-i\sqrt3)$

Answer

(D) $\dfrac12(\sqrt3+i)$

Question 21

If the shortest distance between the lines $\dfrac{x+\sqrt6}{2}=\dfrac{y-\sqrt6}{3}=\dfrac{z-\sqrt6}{4}$ and $\dfrac{x-\lambda}{3}=\dfrac{y-2\sqrt6}{4}=\dfrac{z+2\sqrt6}{5}$ is $6$, then the square of sum of all possible values of $\lambda$ is

Accepted Answer

384

Question 22

Three urns A, B and C contain $4$ red, $6$ black; $5$ red, $5$ black; and $\lambda$ red, $4$ black balls respectively. One of the urns is selected at random and a ball is drawn. If the ball drawn is red and the probability that it is drawn from urn C is $0.4$, then the square of the length of the side of the largest equilateral triangle, inscribed in the parabola $y^2=\lambda x$ with one vertex at the vertex of the parabola, is

Accepted Answer

432

Question 23

Let $S=\{	heta\in[0,2\pi):	an(\pi\cos	heta)+	an(\pi\sin	heta)=0\}$. Then $\sum_{	heta\in S}\sin^2\left(	heta+\dfrac{\pi}{4}ight)$ is equal to

Accepted Answer

2

Question 24

If $\dfrac{1^3+2^3+3^3+\cdots	ext{ up to }n	ext{ terms}}{1\cdot3+2\cdot5+3\cdot7+\cdots	ext{ up to }n	ext{ terms}}=\dfrac{9}{5}$, then the value of $n$ is

Accepted Answer

5

Question 25

Let the sum of the coefficients of the first three terms in the expansion of $\left(x-\dfrac{3}{x^2}ight)^n,\ x
eq0,\ n\in\mathbb{N}$, be $376$. Then the coefficient of $x^4$ is

Accepted Answer

405

Question 26

The equations of the sides AB, BC and CA of a triangle ABC are: $2x+y=0$, $x+py=21a$ $(a
eq0)$ and $x-y=3$ respectively. Let $P(2,a)$ be the centroid of $	riangle ABC$. Then $(BC)^2$ is equal to

Accepted Answer

122

Question 27

Let $\vec a=\hat i+2\hat j+\lambda\hat k,\ \vec b=3\hat i-5\hat j-\lambda\hat k,\ \vec a\cdot\vec c=7,\ 2\vec b\cdot\vec c+43=0,\ \vec a	imes\vec c=\vec b	imes\vec c$. Then $|\vec a\cdot\vec b|$ is equal to

Accepted Answer

8

Question 28

The minimum number of elements that must be added to the relation $R=\{(a,b),(b,c),(b,d)\}$ on the set $\{a,b,c,d\}$ so that it is an equivalence relation, is

Accepted Answer

13

Question 29

If the area of the region bounded by the curves $y^2-2y=-x,\ x+y=0$ is A, then $8A$ is equal to

Accepted Answer

36

Question 30

Let $f$ be a differentiable function defined on $\left[0,\dfrac{\pi}{2}\right]$ such that $f(x)>0$ and $f(x)+\int_0^x f(t)\sqrt{1-(\log_e f(t))^2}\,dt=e,\ \forall x\in\left[0,\dfrac{\pi}{2}\right]$. Then $\left(6\log_e f\left(\dfrac{\pi}{6}\right)\right)^2$ is equal to

Accepted Answer

27

Question 31

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: A pendulum clock when taken to Mount Everest becomes fast.
Reason R: The value of $g$ (acceleration due to gravity) is less at Mount Everest than on the surface of earth.
In the light of the above statements, choose the most appropriate answer from the options given below

Accepted Answer

(D) A is not correct but R is correct

Answer

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

Answer

(B) A is correct but R is not correct

Answer

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

Question 32

The frequency $(
u)$ of an oscillating liquid drop may depend upon radius $(r)$ of the drop, density $(ho)$ of liquid and the surface tension $(s)$ of the liquid as: $
u=r^aho^b s^c$. The values of $a$, $b$ and $c$ respectively are

Accepted Answer

(C) $\left(-\dfrac32,-\dfrac12,\dfrac12\right)$

Answer

(A) $\left(-\dfrac32,\dfrac12,\dfrac12\right)$

Answer

(B) $\left(\dfrac32,-\dfrac12,\dfrac12\right)$

Answer

(D) $\left(\dfrac32,\dfrac12,-\dfrac12\right)$

Question 33

Given below are two statements:
Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface.
Statement II: Acceleration due to earth's gravity is same at a height $h$ and depth $d$ from earth's surface, if $h=d$. In the light of above statements, choose the most appropriate answer from the options given below

Accepted Answer

(D) Statement I is correct but statement II is incorrect

Answer

(A) Both Statement I and Statement II are incorrect

Answer

(B) Statement I is incorrect but statement II is correct

Answer

(C) Both Statement I and Statement II are correct

Question 34

A long solenoid is formed by winding $70$ turns $cm^{-1}$. If $2.0$ A current flows, then the magnetic field produced inside the solenoid is _________ $(\mu_0=4\pi	imes10^{-7}\,T\,m\,A^{-1})$

Accepted Answer

(C) $176	imes10^{-4}$ T

Answer

(A) $88	imes10^{-4}$ T

Answer

(B) $352	imes10^{-4}$ T

Answer

(D) $1232	imes10^{-4}$ T

Question 35

The electric potential at the centre of two concentric half rings of radii $R_1$ and $R_2$, having same linear charge density $\lambda$ is:

Accepted Answer

(A) $\dfrac{\lambda}{2\varepsilon_0}$

Answer

(B) $\dfrac{\lambda}{4\varepsilon_0}$

Answer

(C) $\dfrac{2\lambda}{\varepsilon_0}$

Answer

(D) $\dfrac{\lambda}{\varepsilon_0}$

Question 36

If the distance of the earth from Sun is $1.5	imes10^6$ km, then the distance of an imaginary planet from Sun, if its period of revolution is $2.83$ years is:

Accepted Answer

(B) $3	imes10^6$ km

Answer

(A) $6	imes10^6$ km

Answer

(C) $3	imes10^7$ km

Answer

(D) $6	imes10^7$ km

Question 37

A photon is emitted in transition from $n=4$ to $n=1$ level in hydrogen atom. The corresponding wavelength for this transition is (given, $h=4	imes10^{-15}$ eVs):

Accepted Answer

(D) $94.1$ nm

Answer

(A) $99.3$ nm

Answer

(B) $941$ nm

Answer

(C) $974$ nm

Question 38

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:

Accepted Answer

(B) $45$ V

Answer

(A) $90$ V

Answer

(C) $80$ V

Answer

(D) $40$ V

Question 39

If two vectors $\vec P=\hat i+2m\hat j+m\hat k$ and $\vec Q=4\hat i-2\hat j+m\hat k$ are perpendicular to each other, then the value of $m$ will be:

Accepted Answer

(C) $2$

Answer

(A) $-1$

Answer

(B) $3$

Answer

(D) $1$

Question 40

The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by $E_x=E_0\sin(kz-\omega t)$ and $B_y=B_0\sin(kz-\omega t)$. Then the correct relation between $E_0$ and $B_0$ is given by

Accepted Answer

(C) $kE_0=\omega B_0$

Answer

(A) $E_0 B_0=\omega k$

Answer

(B) $E_0 B_0=\dfrac{\omega}{k}$

Answer

(D) $\omega E_0=kB_0$

Question 41

The logic gate equivalent to the given circuit diagram is:

Accepted Answer

(A) NAND

Answer

(B) OR

Answer

(C) AND

Answer

(D) NOR

Question 42

Let $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_2$ be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio $\dfrac{\gamma_1}{\gamma_2}$ is:

Accepted Answer

(A) $\dfrac{25}{21}$

Answer

(B) $\dfrac{25}{27}$

Answer

(C) $\dfrac{21}{25}$

Answer

(D) $\dfrac{27}{35}$

Question 43

When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of light converge at different point on the principle axis after refraction. This is called:

Accepted Answer

(C) Chromatic aberration

Answer

(A) Spherical aberration

Answer

(B) Polarisation

Answer

(D) Scattering

Question 44

A metallic rod of length '$L$' is rotated with an angular speed of '$\omega$' normal to a uniform magnetic field '$B$' about an axis passing through one end of rod as shown in figure. The induced emf will be:

Accepted Answer

(D) $\dfrac12 BL^2\omega$

Answer

(A) $\dfrac14 BL^2\omega$

Answer

(B) $\dfrac12 B^2 L^2\omega$

Answer

(C) $\dfrac14 B^2 L\omega$

Question 45

An $\alpha$-particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their de-Broglie wavelength:

Accepted Answer

(A) $\lambda_\alpha<\lambda_p<\lambda_e$

Answer

(B) $\lambda_\alpha=\lambda_p=\lambda_e$

Answer

(C) $\lambda_\alpha>\lambda_p>\lambda_e$

Answer

(D) $\lambda_\alpha>\lambda_p<\lambda_e$

Question 46

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Steel is used in the construction of buildings and bridges.
Reason R: Steel is most elastic and its elastic limit is high. In the light of above statements, choose the most appropriate answer from the options given below

Accepted Answer

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

Answer

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

Answer

(C) A is correct but R is not correct

Answer

(D) A is not correct but R is correct

Question 47

In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature; $T_3>T_2>T_1$ as:

Accepted Answer

(C) (3)

Answer

(A) (1)

Answer

(B) (2)

Answer

(D) (4)

Question 48

Match List I (broadcast / communication service) with List II (frequency band). Choose the correct answer from the options given below:

Accepted Answer

(A) A-II, B-I, C-IV, D-III

Answer

(B) A-I, B-III, C-II, D-IV

Answer

(C) A-IV, B-III, C-I, D-II

Answer

(D) A-III, B-III, C-I, D-IV

Question 49

A body of mass $200$ g is tied to a spring of spring constant $12.5$ N/m, while the other end of spring is fixed at point $O$. If the body moves about $O$ in a circular path on a smooth horizontal surface with constant angular speed $5$ rad/s, then the ratio of extension in the spring to its natural length will be:

Accepted Answer

(C) $2:3$

Answer

(A) $2:5$

Answer

(B) $1:1$

Answer

(D) $1:2$

Question 50

The velocity time graph of a body moving in a straight line is shown in figure. The ratio of displacement to distance travelled by the body in time $0$ to $10$ s is:

Accepted Answer

(C) $1:3$

Answer

(A) $1:1$

Answer

(B) $1:2$

Answer

(D) $1:4$

Question 51

A body of mass $1$ kg begins to move under the action of a time dependent force $\vec F=(t\hat i+3t^2\hat j)$ N, where $\hat i$ and $\hat j$ are the unit vectors along $x$ and $y$ axis. The power developed by above force, at the time $t=2$ s, will be _________ W.

Accepted Answer

100

Question 52

A convex lens of refractive index $1.5$ and focal length $18$ cm in air is immersed in water. The change in focal length of the lens will be _________ cm. (Given refractive index of water $=\dfrac43$)

Accepted Answer

54

Question 53

The energy released per fission of nucleus of $^{240}X$ is $200$ MeV. The energy released if all the atoms in $120$ g of pure $^{240}X$ undergo fission is _________ $	imes10^{25}$ MeV (Given $N_A=6	imes10^{23}$)

Accepted Answer

6

Question 54

A uniform solid cylinder with radius $R$ and length $L$ has moment of inertia $I_1$ about the axis of the cylinder. A concentric solid cylinder of radius $R'=\dfrac{R}{2}$ and length $L'=\dfrac{L}{2}$ is carved out of the original cylinder. If $I_2$ is the moment of inertia of the carved out portion of the cylinder then $\dfrac{I_1}{I_2}=$ _________ (Both $I_1$ and $I_2$ are about the axis of the cylinder)

Accepted Answer

32

Question 55

A parallel plate capacitor with air between the plate has a capacitance of $15$ pF. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant $3.5$. Then the capacitance becomes $\dfrac{x}{4}$ pF. The value of $x$ is _________

Accepted Answer

105

Question 56

A single turn current loop in the shape of a right angle triangle with sides $5$ cm, $12$ cm, $13$ cm is carrying a current of $2$ A. The loop is in a uniform magnetic field of magnitude $0.75$ T whose direction is parallel to the current in the $13$ cm side of the loop. The magnitude of the magnetic force on the $5$ cm side will be $\dfrac{x}{130}$ N. The value of $x$ is _________

Accepted Answer

9

Question 57

A mass $m$ attached to free end of a spring executes SHM with a period of $1$ s. If the mass is increased by $3$ kg the period of oscillation increases by one second, the value of mass $m$ is _________ kg.

Accepted Answer

1

Question 58

If a copper wire is stretched to increase its length by $20\%$, the percentage increase in resistance of the wire is _________ %

Accepted Answer

44

Question 59

Three identical resistors with resistance $R=12\,\Omega$ and two identical inductors with self inductance $L=5$ mH are connected to an ideal battery with emf of $12$ V as shown in figure. The current through the battery long after the switch has been closed will be _________ A.

Accepted Answer

3

Question 60

A spherical ball of radius $1$ mm and density $10.5$ g/cc is dropped in glycerine of coefficient of viscosity $9.8$ poise and density $1.5$ g/cc. Viscous force on the ball when it attains constant velocity is $3696	imes10^{-x}$ N. The value of $x$ is _________ (Given, $g=9.8$ m/s$^2$ and $\pi=\dfrac{22}{7}$)

Accepted Answer

7

Question 61

Identify the correct statements about alkali metals. A. The order of standard reduction potential $(M^+|M)$ for alkali metal ions is $Na>Rb>Li$. B. CsI is highly soluble in water. C. Lithium carbonate is highly stable to heat. D. Potassium dissolved in concentrated liquid ammonia is blue in colour and paramagnetic. E. All the alkali metal hydrides are ionic solids. Choose the correct answer from the options given below:

Accepted Answer

(D) A and E only

Answer

(A) C and E only

Answer

(B) A, B and E only

Answer

(C) A, B, D only

Question 62

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Beryllium has less negative value of reduction potential compared to the other alkaline earth metals.
Reason R: Beryllium has large hydration energy due to small size of $Be^{2+}$ but relatively large value of atomization enthalpy.
In the light of the above statements, choose the most appropriate answer from the options given below

Accepted Answer

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

Answer

(A) A is not correct but R is correct

Answer

(B) A is correct but R is not correct

Answer

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

Question 63

A student has studied the decomposition of a gas $AB_3$ at $25\,^\circ C$. He obtained the following data. $p$ (mmHg): $50$, $100$, $200$, $400$; relative $t_{1/2}$ (s): $4$, $2$, $1$, $0.5$. The order of the reaction is

Accepted Answer

(D) $2$

Answer

(A) $0$ (zero)

Answer

(B) $0.5$

Answer

(C) $1$

Question 64

$K_2Cr_2O_7$ paper acidified with dilute $H_2SO_4$ turns green when exposed to

Accepted Answer

(C) Sulphur dioxide

Answer

(A) Carbon dioxide

Answer

(B) Sulphur trioxide

Answer

(D) Hydrogen sulphide

List I	List II
A.AM Broadcast	I.88–108 MHz
B.FM Broadcast	II.540–1600 kHz
C.Television	III.3.7–4.2 GHz
D.Satellite Communication	IV.54 MHz–890 MHz

List I	List II
A.Antifertility drug	I.Norethindrone
B.Tranquilizer	II.Meprobomate
C.Antihistamine	III.Seldane
D.Antibiotic	IV.Ampicillin

JEE Main 24 January 2023 Shift 2 Question Paper with Answers

Physics — JEE Main 24 January 2023 Shift 2

Chemistry — JEE Main 24 January 2023 Shift 2

Mathematics — JEE Main 24 January 2023 Shift 2

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