JEE Main 30 January 2024 Shift 1 Question Paper

Question 1

A line passing through the point $A(9,0)$ makes an angle of $30^\circ$ with the positive direction of x-axis. If this line is rotated about $A$ through an angle of $15^\circ$ in the clockwise direction, then its equation in the new position is:

Accepted Answer

(A) $\dfrac{y}{\sqrt3-2}+x=9$

Answer

(B) $\dfrac{x}{\sqrt3-2}+y=9$

Answer

(C) $\dfrac{x}{\sqrt3+2}+y=9$

Answer

(D) $\dfrac{y}{\sqrt3+2}+x=9$

Question 2

Let $S_n$ denote the sum of first $n$ terms of an arithmetic progression. If $S_{20}=790$ and $S_{10}=145$, then $S_{15}-S_5$ is:

Accepted Answer

(A) $395$

Answer

(B) $390$

Answer

(C) $405$

Answer

(D) $410$

Question 3

If $z=x+iy$, $x
e0$, satisfies the equation $z^2+i\bar z=0$, then $|z|^2$ is equal to:

Accepted Answer

(B) $1$

Answer

(A) $9$

Answer

(C) $4$

Answer

(D) $\dfrac14$

Question 4

Let $\vec a=a_1\hat i+a_2\hat j+a_3\hat k$ and $\vec b=b_1\hat i+b_2\hat j+b_3\hat k$ be two vectors such that $|\vec a|=1$, $\vec a\cdot\vec b=2$ and $|\vec b|=4$. If $\vec c=2(\vec a	imes\vec b)-3\vec b$, then the angle between $\vec b$ and $\vec c$ is equal to:

Accepted Answer

(C) $\cos^{-1}\left(-\dfrac{\sqrt3}{2}\right)$

Answer

(A) $\cos^{-1}\left(\dfrac{2}{\sqrt3}\right)$

Answer

(B) $\cos^{-1}\left(-\dfrac{1}{\sqrt3}\right)$

Answer

(D) $\cos^{-1}\left(\dfrac{2}{3}\right)$

Question 5

The maximum area of a triangle whose one vertex is at $(0,0)$ and the other two vertices are on the curve $y=-2x^2+54$ at points $(x,y)$ and $(-x,y)$ where $y>0$ is:

Accepted Answer

(D) $108$

Answer

(A) $88$

Answer

(B) $122$

Answer

(C) $92$

Question 6

The value of $\displaystyle\lim_{n	o\infty}\sum_{k=1}^{n}\dfrac{n^3}{(n^2+k^2)(n^2+3k^2)}$ is:

Accepted Answer

(B) $\dfrac{13\pi}{8(4\sqrt3+3)}$

Answer

(A) $\dfrac{(2\sqrt3-3)\pi}{24}$

Answer

(C) $\dfrac{13(2\sqrt3-3)\pi}{24}$

Answer

(D) $\dfrac{\pi}{8(2\sqrt3+3)}$

Question 7

Let $g:\mathbb{R}	o\mathbb{R}$ be a non constant twice differentiable function such that $g'\left(\dfrac12ight)=g'\left(\dfrac32ight)$. If a real valued function $f$ is defined as $f(x)=\dfrac12[g(x)+g(2-x)]$, then:

Accepted Answer

(A) $f'(x)=0$ for atleast two $x$ in $(0,2)$

Answer

(B) $f'(x)=0$ for exactly one $x$ in $(0,1)$

Answer

(C) $f'(x)=0$ for no $x$ in $(0,1)$

Answer

(D) $f'\left(\dfrac32\right)+f'\left(\dfrac12\right)=1$

Question 8

The area (in square units) of the region bounded by the parabola $y^2=4(x-2)$ and the line $y=2x-8$ is:

Accepted Answer

(B) $9$

Answer

(A) $8$

Answer

(C) $6$

Answer

(D) $7$

Question 9

Let $y=y(x)$ be the solution of the differential equation $\sec x\,dy+\{2(1-x)	an x+x(2-x)\}dx=0$ such that $y(0)=2$. Then $y(2)$ is equal to:

Accepted Answer

(A) $2$

Answer

(B) $2(1-\sin(2))$

Answer

(C) $2\sin(2)+1$

Answer

(D) $1$

Question 10

Let $(\alpha,\beta,\gamma)$ be the foot of perpendicular from the point $(1,2,3)$ on the line $\dfrac{x+3}{5}=\dfrac{y-1}{2}=\dfrac{z+4}{3}$. Then $19(\alpha+\beta+\gamma)$ is equal to:

Accepted Answer

(B) $101$

Answer

(A) $102$

Answer

(C) $99$

Answer

(D) $100$

Question 11

Two integers $x$ and $y$ are chosen with replacement from the set $\{0,1,2,3,\ldots,10\}$. Then the probability that $|x-y|>5$ is:

Accepted Answer

(A) $\dfrac{30}{121}$

Answer

(B) $\dfrac{62}{121}$

Answer

(C) $\dfrac{60}{121}$

Answer

(D) $\dfrac{31}{121}$

Question 12

If the domain of the function $f(x)=\cos^{-1}\left(\dfrac{2-|x|}{4}\right)+\left(\log_e(3-x)\right)^{-1}$ is $[-\alpha,\beta]-\{\gamma\}$, then $\alpha+\beta+\gamma$ is equal to:

Accepted Answer

(C) $11$

Answer

(A) $12$

Answer

(B) $9$

Answer

(D) $8$

Question 13

Consider the system of linear equations $x+y+z=4\mu$, $x+2y+2\lambda z=10\mu$, $x+3y+4\lambda^2 z=\mu^2+15$, where $\lambda,\mu\in\mathbb{R}$. Which one of the following statements is NOT correct?

Accepted Answer

(B) The system is inconsistent if $\lambda=\dfrac12$ and $\mu
e1$

Answer

(A) The system has unique solution if $\lambda
e\dfrac12$ and $\mu
e1,15$

Answer

(C) The system has infinite number of solutions if $\lambda=\dfrac12$ and $\mu=15$

Answer

(D) The system is consistent if $\lambda
e\dfrac12$

Question 14

If the circles $(x+1)^2+(y+2)^2=r^2$ and $x^2+y^2-4x-4y+4=0$ intersect at exactly two distinct points, then:

Accepted Answer

(C) $3<r<7$

Answer

(A) $5<r<7$

Answer

(B) $0<r<7$

Answer

(D) $\dfrac12<r<7$

Question 15

If the length of the minor axis of an ellipse is equal to half of the distance between the foci, then the eccentricity of the ellipse is:

Accepted Answer

(D) $\dfrac{2}{\sqrt5}$

Answer

(A) $\dfrac{\sqrt5}{3}$

Answer

(B) $\dfrac{\sqrt3}{2}$

Answer

(C) $\dfrac{1}{\sqrt3}$

Question 16

Let $M$ denote the median of the following frequency distribution. Class: $0$-$4$, $4$-$8$, $8$-$12$, $12$-$16$, $16$-$20$; Frequency: $3$, $9$, $10$, $8$, $6$. Then $20M$ is equal to:

Accepted Answer

(D) 208

Answer

(A) 416

Answer

(B) 104

Answer

(C) 52

Question 17

If $f(x)=\begin{vmatrix}2\cos^2x & 2\sin^2x & 3+\sin^2 2x\ 3+2\cos^2x & 2\sin^2x & \sin^2 2x\ 2\cos^2x & 3+2\sin^2x & \sin^2 2x\end{vmatrix}$, then $\dfrac13 f'(0)$ is equal to:

Accepted Answer

(A) $0$

Answer

(B) $1$

Answer

(C) $2$

Answer

(D) $6$

Question 18

Let $A(2,3,5)$ and $C(-3,4,-2)$ be opposite vertices of a parallelogram $ABCD$. If the diagonal $\vec{BD}=\hat i+2\hat j+3\hat k$, then the area of the parallelogram is equal to:

Accepted Answer

(B) $\dfrac12\sqrt{474}$

Answer

(A) $\dfrac12\sqrt{410}$

Answer

(C) $\dfrac12\sqrt{586}$

Answer

(D) $\dfrac12\sqrt{306}$

Question 19

If $2\sin^3 x+\sin 2x\cos x+4\sin x-4=0$ has exactly $3$ solutions in the interval $\left[0,\dfrac{n\pi}{2}\right]$, $n\in\mathbb{N}$, then the roots of the equation $x^2+nx+(n-3)=0$ belong to:

Accepted Answer

(B) $(-\infty,0)$

Answer

(A) $(0,\infty)$

Answer

(C) $\left(-\dfrac{\sqrt{17}}{2},\dfrac{\sqrt{17}}{2}\right)$

Answer

(D) $\mathbb{Z}$

Question 20

Let $f:\left[-\dfrac\pi2,\dfrac\pi2ight]	o\mathbb{R}$ be a differentiable function such that $f(0)=\dfrac12$. If the $\displaystyle\lim_{x	o0}\dfrac{x\displaystyle\int_0^x f(t)\,dt}{e^{x^2}-1}=\alpha$, then $8\alpha^2$ is equal to:

Accepted Answer

(B) $2$

Answer

(A) $16$

Answer

(C) $1$

Answer

(D) $4$

Question 21

A group of $40$ students appeared in an examination of $3$ subjects – Mathematics, Physics & Chemistry. It was found that all students passed in at least one of the subjects, $20$ students passed in Mathematics, $25$ students passed in Physics, $16$ students passed in Chemistry, at most $11$ students passed in both Mathematics and Physics, at most $15$ students passed in both Physics and Chemistry, at most $15$ students passed in both Mathematics and Chemistry. The maximum number of students passed in all the three subjects is ___

Accepted Answer

10

Question 22

If $d_1$ is the shortest distance between the lines $x+1=2y=-12z$, $x=y+2=6z-6$ and $d_2$ is the shortest distance between the lines $\dfrac{x-1}{2}=\dfrac{y+8}{-7}=\dfrac{z-4}{5}$, $\dfrac{x-1}{2}=\dfrac{y-2}{1}=\dfrac{z-6}{-3}$, then the value of $\dfrac{32\sqrt3\,d_1}{d_2}$ is:

Accepted Answer

16

Question 23

Let the latus rectum of the hyperbola $\dfrac{x^2}{9}-\dfrac{y^2}{b^2}=1$ subtend an angle of $\dfrac\pi3$ at the centre of the hyperbola. If $b^2$ is equal to $\dfrac{l}{m}(1+\sqrt n)$, where $l$ and $m$ are co-prime numbers, then $l^2+m^2+n^2$ is equal to ___

Accepted Answer

182

Question 24

Let $A=\{1,2,3,\ldots,7\}$ and let $P(A)$ denote the power set of $A$. If the number of functions $f:A	o P(A)$ such that $a\in f(a)$, $\forall a\in A$ is $m^n$, $m,n\in\mathbb{N}$ and $m$ is least, then $m+n$ is equal to ___

Accepted Answer

44

Question 25

The value $9\displaystyle\int_0^9\left[\sqrt{\dfrac{10x}{x+1}}\,\right]dx$, where $[t]$ denotes the greatest integer less than or equal to $t$, is ___

Accepted Answer

155

Question 26

Number of integral terms in the expansion of $\left\{7^{(1/2)}+11^{(1/6)}\right\}^{824}$ is equal to ___

Accepted Answer

138

Question 27

Let $y=y(x)$ be the solution of the differential equation $(1-x^2)\,dy=\left[xy+(x^3+2)\sqrt{3(1-x^2)}\right]dx$, $-1<x<1$, $y(0)=0$. If $y\left(\dfrac12\right)=\dfrac{m}{n}$, $m$ and $n$ are co-prime numbers, then $m+n$ is equal to ___

Accepted Answer

97

Question 28

Let $\alpha,\beta\in\mathbb{N}$ be roots of the equation $x^2-70x+\lambda=0$, where $\dfrac\lambda2,\dfrac\lambda3
otin\mathbb{N}$. If $\lambda$ assumes the minimum possible value, then $\dfrac{(\sqrt{\alpha-1}+\sqrt{\beta-1})(\lambda+35)}{|\alpha-\beta|}$ is equal to ___

Accepted Answer

60

Question 29

If the function $f(x)=\begin{cases}\dfrac{1}{|x|} & ,\ |x|\ge2\ ax^2+2b & ,\ |x|<2\end{cases}$ is differentiable on $\mathbb{R}$, then $48(a+b)$ is equal to ___

Accepted Answer

15

Question 30

Let $\alpha=1^2+4^2+8^2+13^2+19^2+26^2+\ldots$ upto $10$ terms and $\beta=\displaystyle\sum_{n=1}^{10}n^4$. If $4\alpha-\beta=55k+40$, then $k$ is equal to ___

Accepted Answer

353

Question 31

Match List-I (physical quantities) with List-II (their dimensional formulae). Choose the correct answer:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 32

All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass $2\,kg$ is:

Accepted Answer

(B) $\dfrac{g}{3}$

Answer

(A) $g$

Answer

(C) $\dfrac{g}{2}$

Answer

(D) $\dfrac{g}{4}$

Question 33

A potential divider circuit is shown in figure. The output voltage $V_0$ is:

Accepted Answer

(C) $0.5\,V$

Answer

(A) $4\,V$

Answer

(B) $2\,mV$

Answer

(D) $12\,mV$

Question 34

Young’s modulus of material of a wire of length $L$ and cross-sectional area $A$ is $Y$. If the length is doubled and cross-sectional area is halved then Young’s modulus will be:

Accepted Answer

(C) $Y$

Answer

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

Answer

(B) $4Y$

Answer

(D) $2Y$

Question 35

The work function of a substance is $3.0\,eV$. The longest wavelength of light that can cause the emission of photoelectrons from this substance is approximately:

Accepted Answer

(B) $414\,nm$

Answer

(A) $215\,nm$

Answer

(C) $400\,nm$

Answer

(D) $200\,nm$

Question 36

The ratio of the magnitude of the kinetic energy to the potential energy of an electron in the $5^{th}$ excited state of a hydrogen atom is:

Accepted Answer

(C) $\dfrac12$

Answer

(A) $4$

Answer

(B) $\dfrac14$

Answer

(D) $1$

Question 37

A particle is placed at the point $A$ of a frictionless track $ABC$ as shown in figure. It is gently pushed toward right. The speed of the particle when it reaches the point $B$ is: (Take $g=10\,m/s^2$)

Accepted Answer

(B) $\sqrt{10}\,m/s$

Answer

(A) $20\,m/s$

Answer

(C) $2\sqrt{10}\,m/s$

Answer

(D) $10\,m/s$

Question 38

The electric field of an electromagnetic wave in free space is represented as $\vec E=E_0\cos(\omega t-kz)\hat i$. The corresponding magnetic induction vector $\vec B$ will be:

Accepted Answer

(B) $\vec B=\dfrac{E_0}{C}\cos(\omega t-kz)\hat j$

Answer

(A) $\vec B=E_0 C\cos(\omega t-kz)\hat j$

Answer

(C) $\vec B=E_0 C\cos(\omega t+kz)\hat j$

Answer

(D) $\vec B=\dfrac{E_0}{C}\cos(\omega t+kz)\hat j$

Question 39

Two insulated circular loop $A$ and $B$ of radius $a$ carrying a current of $I$ in the anti clockwise direction as shown in figure. The magnitude of the magnetic induction at the centre will be:

Accepted Answer

(C) $\dfrac{\mu_0 I}{\sqrt2\,a}$

Answer

(A) $\dfrac{\sqrt2\,\mu_0 I}{a}$

Answer

(B) $\dfrac{\mu_0 I}{2a}$

Answer

(D) $\dfrac{2\mu_0 I}{a}$

Question 40

The diffraction pattern of a light of wavelength $400\,nm$ diffracting from a slit of width $0.2\,mm$ is focused on the focal plane of a convex lens of focal length $100\,cm$. The width of the $1^{st}$ secondary maxima will be:

Accepted Answer

(A) $2\,mm$

Answer

(B) $2\,cm$

Answer

(C) $0.02\,mm$

Answer

(D) $0.2\,mm$

Question 41

Primary coil of a transformer is connected to $220\,V$ ac. Primary and secondary turns of the transformer are $100$ and $10$ respectively. Secondary coil is connected to two series resistance shown in figure. The output voltage $(V_0)$ is:

Accepted Answer

(A) $7\,V$

Answer

(B) $15\,V$

Answer

(C) $44\,V$

Answer

(D) $2\,V$

Question 42

The gravitational potential at a point above the surface of earth is $-5.12	imes10^7\,J/kg$ and the acceleration due to gravity at that point is $6.4\,m/s^2$. Assume that the mean radius of earth to be $6400\,km$. The height of this point above the earth’s surface is:

Accepted Answer

(A) $1600\,km$

Answer

(B) $540\,km$

Answer

(C) $1200\,km$

Answer

(D) $1000\,km$

Question 43

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 $\alpha=2	imes10^{-4}/^\circ C$)

Accepted Answer

(C) $1694^\circ C$

Answer

(A) $694^\circ C$

Answer

(B) $1235^\circ C$

Answer

(D) $1667^\circ C$

Question 44

A Zener diode of breakdown voltage $10\,V$ is used as a voltage regulator as shown in the figure. The current through the Zener diode is:

Accepted Answer

(C) $30\,mA$

Answer

(A) $50\,mA$

Answer

(B) $0$

Answer

(D) $20\,mA$

Question 45

The electrostatic potential due to an electric dipole at a distance $r$ varies as:

Accepted Answer

(B) $\dfrac{1}{r^2}$

Answer

(A) $r$

Answer

(C) $\dfrac{1}{r^3}$

Answer

(D) $\dfrac{1}{r}$

Question 46

A spherical body of mass $100\,g$ is dropped from a height of $10\,m$ from the ground. After hitting the ground, the body rebounds to a height of $5\,m$. The impulse of force imparted by the ground to the body is given by: (given $g=9.8\,m/s^2$)

Accepted Answer

(D) $2.39\,kg\,ms^{-1}$

Answer

(A) $4.32\,kg\,ms^{-1}$

Answer

(B) $43.2\,kg\,ms^{-1}$

Answer

(C) $23.32\,kg\,ms^{-1}$

Question 47

A particle of mass $m$ is projected with a velocity $u$ making an angle of $30^\circ$ with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height $h$ is:

Accepted Answer

(A) $\dfrac{\sqrt3\,mu^3}{16g}$

Answer

(B) $\dfrac{\sqrt3\,mu^3}{2g}$

Answer

(C) $\dfrac{mu^3}{\sqrt2\,g}$

Answer

(D) zero

Question 48

At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at $47^\circ C$?

Accepted Answer

(D) $20\,K$

Answer

(A) $80\,K$

Answer

(B) $-73\,K$

Answer

(C) $4\,K$

Question 49

A series $L,R$ circuit connected with an ac source $E=(25\sin1000t)\,V$ has a power factor of $\dfrac{1}{\sqrt2}$. If the source of emf is changed to $E=(20\sin2000t)\,V$, the new power factor of the circuit will be:

Accepted Answer

(C) $\dfrac{1}{\sqrt5}$

Answer

(A) $\dfrac{1}{\sqrt2}$

Answer

(B) $\dfrac{1}{\sqrt3}$

Answer

(D) $\dfrac{1}{\sqrt7}$

Question 50

The horizontal component of earth’s magnetic field at a place is $3.5	imes10^{-5}\,T$. A very long straight conductor carrying current of $\sqrt2\,A$ in the direction from South east to North West is placed. The force per unit length experienced by the conductor is ___ $	imes10^{-6}\,N/m$.

Accepted Answer

35

Question 51

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:

Accepted Answer

6

Question 52

A electron of hydrogen atom on an excited state is having energy $E_n=-0.85\,eV$. The maximum number of allowed transitions to lower energy level is ___

Accepted Answer

6

Question 53

Each of three blocks $P$, $Q$ and $R$ shown in figure has a mass of $3\,kg$. Each of the wires $A$ and $B$ has cross-sectional area $0.005\,cm^2$ and Young’s modulus $2	imes10^{11}\,N\,m^{-2}$. Neglecting friction, the longitudinal strain on wire $B$ is ___ $	imes10^{-4}$. (Take $g=10\,m/s^2$)

Accepted Answer

2

Question 54

The distance between object and its two times magnified real image as produced by a convex lens is $45\,cm$. The focal length of the lens used is ___ $cm$.

Accepted Answer

10

Question 55

The displacement and the increase in the velocity of a moving particle in the time interval of $t$ to $(t+1)\,s$ are $125\,m$ and $50\,m/s$, respectively. The distance travelled by the particle in $(t+2)^{th}\,s$ is ___ $m$.

Accepted Answer

175

Question 56

A capacitor of capacitance $C$ and potential $V$ has energy $E$. It is connected to another capacitor of capacitance $2C$ and potential $2V$. Then the loss of energy is $\dfrac{x}{3}E$, where $x$ is ___

Accepted Answer

2

Question 57

Consider a Disc of mass $5\,kg$, radius $2\,m$, rotating with angular velocity of $10\,rad/s$ about an axis perpendicular to the plane of rotation. An identical disc is kept gently over the rotating disc along the same axis. The energy dissipated so that the discs continue to rotate together without slipping is ___ $J$.

Accepted Answer

250

Question 58

In a closed organ pipe, the frequency of fundamental note is $30\,Hz$. A certain amount of water is now poured in the organ pipe so that the fundamental frequency is increased to $110\,Hz$. If the organ pipe has a cross-sectional area $2\,cm^2$, the amount of water poured in the organ pipe is ___ $g$. (Take speed of sound in air is $330\,m/s$)

Accepted Answer

400

Question 59

A ceiling fan having $3$ blades of length $80\,cm$ each is rotating with an angular velocity of $1200\,rpm$. The magnetic field of earth in that region is $0.5\,G$ and angle of dip is $30^\circ$. The emf induced across the blades is $N\pi	imes10^{-5}\,V$. The value of $N$ is ___

Accepted Answer

32

Question 60

Given below are two statements:
Statement-I: The gas liberated on warming a salt with dil $H_2SO_4$, turns a piece of paper dipped in lead acetate into black, it is a confirmatory test for sulphide ion.
Statement-II: In statement-I the colour of paper turns black because of formation of lead sulphide.
In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

(D) Both Statement-I and Statement-II are true.

Answer

(A) Both Statement-I and Statement-II are false

Answer

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

Answer

(C) Statement-I is true but Statement-II is false

Question 61

This reduction reaction is known as:

Accepted Answer

(A) Rosenmund reduction

Answer

(B) Wolff-Kishner reduction

Answer

(C) Stephen reduction

Answer

(D) Etard reduction

Question 62

Sugar which does not give reddish brown precipitate with Fehling’s reagent is:

Accepted Answer

(A) Sucrose

Answer

(B) Lactose

Answer

(C) Glucose

Answer

(D) Maltose

Question 63

Given below are two statements: one is labeled as Assertion (A) and the other is labeled as Reason (R).
Assertion (A): There is a considerable increase in covalent radius from N to P. However from As to Bi only a small increase in covalent radius is observed.
Reason (R): covalent and ionic radii in a particular oxidation state increases down the group. In the light of the above statement, choose the most appropriate answer from the options given below:

Accepted Answer

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

Answer

(A) (A) is false but (R) is true

Answer

(C) (A) is true but (R) is false

Answer

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

Question 64

Which of the following molecule/species is most stable?

Accepted Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Answer

(D) (4)

List-I (Physical quantity)	List-II (Dimensional formula)
A.Coefficient of viscosity	I. $[M\,L^2\,T^{-2}]$
B.Surface Tension	II. $[M\,L^2\,T^{-1}]$
C.Angular momentum	III. $[M\,L^{-1}\,T^{-1}]$
D.Rotational kinetic energy	IV. $[M\,L^0\,T^{-2}]$

List-I (Molecule)	List-II (Shape)
A. $BrF_5$	I.T-shape
B. $H_2O$	II.See saw
C. $ClF_3$	III.Bent
D. $SF_4$	IV.Square pyramidal

List-I (Species)	List-II (Electronic distribution)
A. $Cr^{2+}$	I. $3d^8$
B. $Mn^{+}$	II. $3d^3 4s^1$
C. $Ni^{2+}$	III. $3d^4$
D. $V^{+}$	IV. $3d^5 4s^1$

JEE Main 30 January 2024 Shift 1 Question Paper with Answers

Physics — JEE Main 30 January 2024 Shift 1

Chemistry — JEE Main 30 January 2024 Shift 1

Mathematics — JEE Main 30 January 2024 Shift 1

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