JEE Main 5 April 2024 Shift 2 Question Paper

Question 1

Let $f:[-1,2]	o\mathbb{R}$ be given by $f(x)=2x^2+x+[x^2]-[x]$, where $[t]$ denotes the greatest integer less than or equal to $t$. The number of points where $f$ is not continuous is:

Accepted Answer

(C) 4

Answer

(A) 6

Answer

(B) 3

Answer

(D) 5

Question 2

The differential equation of the family of circles passing through the origin and having their centre on the line $y=x$ is:

Accepted Answer

(C) $(x^2-y^2+2xy)\,dx=(x^2-y^2-2xy)\,dy$

Answer

(A) $(x^2-y^2+2xy)\,dx=(x^2-y^2+2xy)\,dy$

Answer

(B) $(x^2+y^2+2xy)\,dx=(x^2+y^2-2xy)\,dy$

Answer

(D) $(x^2+y^2-2xy)\,dx=(x^2+y^2+2xy)\,dy$

Question 3

Let $S_1=\{z\in\mathbb{C}:|z|\le 5\}$, $S_2=\left\{z\in\mathbb{C}:\operatorname{Im}\left(\dfrac{z+1-\sqrt{3}\,i}{1-\sqrt{3}\,i}\right)\ge 0\right\}$ and $S_3=\{z\in\mathbb{C}:\operatorname{Re}(z)\ge 0\}$. Then the area of $S_1\cap S_2\cap S_3$ is:

Accepted Answer

(D) $\dfrac{125\pi}{12}$

Answer

(A) $\dfrac{125\pi}{6}$

Answer

(B) $\dfrac{125\pi}{24}$

Answer

(C) $\dfrac{125\pi}{4}$

Question 4

The area enclosed between the curves $y=x|x|$ and $y=x-|x|$ is:

Accepted Answer

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

Answer

(A) $\dfrac{8}{3}$

Answer

(B) $\dfrac{2}{3}$

Answer

(C) 1

Question 5

60 words can be made using all the letters of the word BHBJO, with or without meaning. If these words are written as in a dictionary, then the 50th word is:

Accepted Answer

(C) OBBJH

Answer

(A) OBBHJ

Answer

(B) HBBJO

Answer

(D) JBBOH

Question 6

Let $\vec{a}=2\hat{i}+5\hat{j}-\hat{k}$, $\vec{b}=2\hat{i}-2\hat{j}+2\hat{k}$ and $\vec{c}$ be three vectors such that $(\vec{c}+\hat{i})	imes(\vec{a}+\vec{b}+\hat{i})=\vec{a}	imes(\vec{c}+\hat{i})$ and $\vec{a}\cdot\vec{c}=-29$. Then $\vec{c}\cdot(-2\hat{i}+\hat{j}+\hat{k})$ is equal to:

Accepted Answer

(B) 5

Answer

(A) 10

Answer

(C) 15

Answer

(D) 12

Question 7

Consider three vectors $\vec{a},\vec{b},\vec{c}$. Let $|\vec{a}|=2$, $|\vec{b}|=3$ and $\vec{a}=\vec{b}	imes\vec{c}$. If $\alpha\in\left[0,\dfrac{\pi}{3}ight]$ is the angle between the vectors $\vec{b}$ and $\vec{c}$, then the minimum value of $27|\vec{c}-\vec{a}|^2$ is equal to:

Accepted Answer

(C) 124

Answer

(A) 110

Answer

(B) 105

Answer

(D) 121

Question 8

Let $A(-1,1)$ and $B(2,3)$ be two points and $P$ be a variable point above the line $AB$ such that the area of $	riangle PAB$ is 10. If the locus of $P$ is $ax+by=15$, then $5a+2b$ is:

Accepted Answer

(A) $-\dfrac{12}{5}$

Answer

(B) $-\dfrac{6}{5}$

Answer

(C) 4

Answer

(D) 6

Question 9

Let $(\alpha,\beta,\gamma)$ be the image of the point $(8,5,7)$ in the line $\dfrac{x-1}{2}=\dfrac{y+1}{3}=\dfrac{z-2}{5}$. Then $\alpha+\beta+\gamma$ is equal to:

Accepted Answer

(C) 14

Answer

(A) 16

Answer

(B) 18

Answer

(D) 20

Question 10

If the constant term in the expansion of $\left(\dfrac{\sqrt[5]{3}}{x}+\dfrac{2x}{\sqrt[3]{5}}ight)^{12}$, $x
e 0$, is $\alpha	imes 2^8	imes\sqrt[5]{3}$, then $25\alpha$ is equal to:

Accepted Answer

(C) 693

Answer

(A) 639

Answer

(B) 724

Answer

(D) 742

Question 11

Let $f,g:\mathbb{R}	o\mathbb{R}$ be defined as $f(x)=|x-1|$ and $g(x)=e^x$ for $x\ge 0$, $g(x)=x+1$ for $x<0$. Then the function $f(g(x))$ is:

Accepted Answer

(A) neither one-one nor onto

Answer

(B) one-one but not onto

Answer

(C) both one-one and onto

Answer

(D) onto but not one-one

Question 12

Let the circle $C_1:x^2+y^2-2(x+y)+1=0$ and $C_2$ be a circle having centre at $(-1,0)$ and radius 2. If the line of the common chord of $C_1$ and $C_2$ intersects the y-axis at the point $P$, then the square of the distance of $P$ from the centre of $C_1$ is:

Accepted Answer

(A) 2

Answer

(B) 1

Answer

(C) 6

Answer

(D) 4

Question 13

Let the set $S=\{2,4,8,16,\ldots,512\}$ be partitioned into 3 sets $A,B,C$ with an equal number of elements such that $A\cup B\cup C=S$ and $A\cap B=B\cap C=A\cap C=\varnothing$. The maximum number of such possible partitions of $S$ is equal to:

Accepted Answer

(A) 1680

Answer

(B) 1520

Answer

(C) 1710

Answer

(D) 1640

Question 14

The values of $m,n$, for which the system of equations $x+y+z=4$, $2x+5y+5z=17$, $x+2y+mz=n$ has infinitely many solutions, satisfy the equation:

Accepted Answer

(D) $m^2+n^2-mn=39$

Answer

(A) $m^2+n^2-m-n=46$

Answer

(B) $m^2+n^2+m+n=64$

Answer

(C) $m^2+n^2+mn=68$

Question 15

The coefficients $a,b,c$ in the quadratic equation $ax^2+bx+c=0$ are from the set $\{1,2,3,4,5,6\}$. If the probability of this equation having one real root bigger than the other is $p$, then $216p$ equals:

Accepted Answer

(B) 38

Answer

(A) 57

Answer

(C) 19

Answer

(D) 76

Question 16

Let ABCD and AEFG be squares of side 4 and 2 units, respectively. The point E is on the line segment AB and the point F is on the diagonal AC. Then the radius $r$ of the circle passing through the point F and touching the line segments BC and CD satisfies:

Accepted Answer

(B) $r^2-8r+8=0$

Answer

(A) $r=1$

Answer

(C) $2r^2-4r+1=0$

Answer

(D) $2r^2-8r+7=0$

Question 17

Let $\beta(m,n)=\displaystyle\int_0^1 x^{m-1}(1-x)^{n-1}\,dx$, $m,n>0$. If $\displaystyle\int_0^1 (1-x^{10})^{20}\,dx=a\,\beta(b,c)$, then $100(a+b+c)$ equals:

Accepted Answer

(D) 2120

Answer

(A) 1021

Answer

(B) 1120

Answer

Question 18

Let $\alpha\beta
e 0$ and $A=\begin{bmatrix} \beta & \alpha & 3 \ \alpha & \alpha & \beta \ -\beta & \alpha & 2\alpha \end{bmatrix}$. If $B=\begin{bmatrix} 3\alpha & -9 & 3\alpha \ -\alpha & 7 & -2\alpha \ -2\alpha & 5 & -2\beta \end{bmatrix}$ is the matrix of cofactors of the elements of $A$, then $\det(AB)$ is equal to:

Accepted Answer

(D) 216

Answer

(A) 343

Answer

(B) 125

Answer

(C) 64

Question 19

If $y(	heta)=\dfrac{2\cos	heta+\cos 2	heta}{\cos 3	heta+4\cos 2	heta+5\cos	heta+2}$, then at $	heta=\dfrac{\pi}{2}$, $y''+y'+y$ is equal to:

Accepted Answer

(D) 2

Answer

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

Answer

(B) 1

Answer

(C) $\dfrac{1}{2}$

Question 20

For $x\ge 0$, the least value of $K$ for which $4^{1+x}+4^{1-x}$, $\dfrac{K}{2}$, $16^x+16^{-x}$ are three consecutive terms of an A.P. is equal to:

Accepted Answer

(A) 10

Answer

(B) 4

Answer

(C) 8

Answer

(D) 16

Question 21

Let the mean and the standard deviation of the probability distribution with $X=\{\alpha,1,0,-3\}$ and corresponding $P(X)=\left\{\dfrac{1}{3},K,\dfrac{1}{6},\dfrac{1}{4}\right\}$ (in the same order) be $\mu$ and $\sigma$ respectively. If $\sigma-\mu=2$, then $\sigma+\mu$ is equal to __________.

Accepted Answer

5

Question 22

Let $y=y(x)$ be the solution of the differential equation $\dfrac{dy}{dx}+\dfrac{2x}{(1+x^2)^2}\,y=x\,e^{\frac{1}{1+x^2}}$; $y(0)=0$. Then the area enclosed by the curve $f(x)=y(x)\,e^{-\frac{1}{1+x^2}}$ and the line $y-x=4$ is __________.

Accepted Answer

18

Question 23

The number of solutions of $\sin^2 x+(2+2x-x^2)\sin x-3(x-1)^2=0$, where $-\pi\le x\le\pi$, is __________.

Accepted Answer

2

Question 24

Let the point $(-1,\alpha,\beta)$ lie on the line of the shortest distance between the lines $\dfrac{x+2}{-3}=\dfrac{y-2}{4}=\dfrac{z-5}{2}$ and $\dfrac{x+2}{-1}=\dfrac{y+6}{2}=\dfrac{z-1}{0}$. Then $(\alpha-\beta)^2$ is equal to __________.

Accepted Answer

25

Question 25

If $1+\dfrac{\sqrt{3}-\sqrt{2}}{2\sqrt{3}}+\dfrac{5-2\sqrt{6}}{18}+\dfrac{9\sqrt{3}-11\sqrt{2}}{36\sqrt{3}}+\dfrac{49-20\sqrt{6}}{180}+\cdots$ upto $\infty=2\left(\sqrt{\dfrac{b}{a}}+1\right)\log_e\left(\dfrac{a}{b}\right)$, where $a$ and $b$ are integers with $\gcd(a,b)=1$, then $11a+18b$ is equal to __________.

Accepted Answer

76

Question 26

Let $a>0$ be a root of the equation $2x^2+x-2=0$. If $\displaystyle\lim_{x	o\frac{1}{a}}\dfrac{16\left(1-\cos(2+x-2x^2)ight)}{(1-ax)^2}=\alpha+\beta\sqrt{17}$, where $\alpha,\beta\in\mathbb{Z}$, then $\alpha+\beta$ is equal to __________.

Accepted Answer

170

Question 27

If $f(t)=\displaystyle\int_0^{\pi}\dfrac{2x\,dx}{1-\cos^2 t\,\sin^2 x}$, $0<t<\pi$, then the value of $\displaystyle\int_0^{\pi/2}\dfrac{\pi^2\,dt}{f(t)}$ equals __________.

Accepted Answer

1

Question 28

Let the maximum and minimum values of $\left(\sqrt{8x-x^2-12}-4\right)^2+(x-7)^2$, $x\in\mathbb{R}$, be $M$ and $m$ respectively. Then $M^2-m^2$ is equal to __________.

Accepted Answer

1600

Question 29

Let a line perpendicular to the line $2x-y=10$ touch the parabola $y^2=4(x-9)$ at the point $P$. The distance of the point $P$ from the centre of the circle $x^2+y^2-14x-8y+56=0$ is __________.

Accepted Answer

10

Question 30

The number of real solutions of the equation $x\,|x+5|+2|x+7|-2=0$ is __________.

Accepted Answer

3

Question 31

Given below are two statements:
Statement I: When white light is passed through a prism, the red light bends lesser than yellow and violet.
Statement II: The refractive indices are different for different wavelengths in a dispersive medium.
In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

(A) Both Statement I and Statement II are true.

Answer

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

Answer

(C) Both Statement I and Statement II are false.

Answer

(D) Statement I is false but Statement II is true.

Question 32

Which of the following statements is not true about stopping potential $(V_0)$?

Accepted Answer

(C) It increases with increase in intensity of the incident light.

Answer

(A) It depends on the nature of emitter material.

Answer

(B) It depends upon the frequency of the incident light.

Answer

(D) It is $	frac{1}{e}$ times the maximum kinetic energy of electrons emitted.

Question 33

The angular momentum of an electron in a hydrogen atom is proportional to: (where $r$ is the radius of the orbit of the electron)

Accepted Answer

(A) $\sqrt{r}$

Answer

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

Answer

(C) $r$

Answer

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

Question 34

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 $x	imes10^{-2}\,\Omega$. The value of $x$ is:

Accepted Answer

(C) 20

Answer

(A) 2

Answer

(B) 800

Answer

(D) 200

Question 35

The vehicles carrying inflammable fluids usually have metallic chains touching the ground:

Accepted Answer

(A) To conduct excess charge due to air friction to the ground and prevent sparking.

Answer

(B) To alert other vehicles.

Answer

(C) To protect tyres from catching dirt from the ground.

Answer

(D) It is a custom.

Question 36

If $n$ is the number density and $d$ is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e. mean free path) is represented by:

Accepted Answer

(C) $\dfrac{1}{\sqrt{2}\,n\pi d^2}$

Answer

(A) $\dfrac{1}{\sqrt{2n\pi d^2}}$

Answer

(B) $\sqrt{2}\,n\pi d^2$

Answer

(D) $\dfrac{1}{\sqrt{2}\,n^2\pi^2 d^2}$

Question 37

A particle moves in the x-y plane under the influence of a force $\vec{F}$ such that its linear momentum is $\vec{P}(t)=\hat{i}\cos(kt)-\hat{j}\sin(kt)$. If $k$ is constant, the angle between $\vec{F}$ and $\vec{P}$ will be:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 38

The electrostatic force $(\vec{F_1})$ and magnetic force $(\vec{F_2})$ acting on a charge $q$ moving with velocity $\vec{v}$ can be written as:

Accepted Answer

(C) $\vec{F_1}=q\vec{E}$, $\vec{F_2}=q(\vec{V}	imes\vec{B})$

Answer

(A) $\vec{F_1}=q(\vec{V}\cdot\vec{E})$, $\vec{F_2}=q(\vec{B}\cdot\vec{V})$

Answer

(B) $\vec{F_1}=q\vec{B}$, $\vec{F_2}=q(\vec{B}	imes\vec{V})$

Answer

(D) $\vec{F_1}=q\vec{E}$, $\vec{F_2}=q(\vec{B}	imes\vec{V})$

Question 39

A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius 9 m and completes 120 revolutions in 3 minutes. The magnitude of the centripetal acceleration of the monkey is (in m/s$^2$):

Accepted Answer

(B) $16\pi^2$ ms$^{-2}$

Answer

(A) zero

Answer

(C) $4\pi^2$ ms$^{-2}$

Answer

(D) $57600\pi^2$ ms$^{-2}$

Question 40

A series LCR circuit is subjected to an AC signal of 200 V, 50 Hz. If the voltage across the inductor ($L=10$ mH) is 31.4 V, then the current in this circuit is __________:

Accepted Answer

(C) 10 A

Answer

(A) 68 A

Answer

(B) 63 A

Answer

(D) 10 mA

Question 41

What is the dimensional formula of $ab^{-1}$ in the equation $\left(P+\dfrac{a}{V^2}\right)(V-b)=RT$, where the letters have their usual meaning?

Accepted Answer

(B) $[ML^2T^{-2}]$

Answer

(A) $[M^0L^3T^{-2}]$

Answer

(C) $[M^{-1}L^5T^3]$

Answer

(D) $[M^6L^7T^4]$

Question 42

The output (Y) of the logic circuit given below is 0 only when:

Accepted Answer

(B) A = 0, B = 0

Answer

(A) A = 1, B = 0

Answer

(C) A = 1, B = 1

Answer

(D) A = 0, B = 1

Question 43

A body is moving unidirectionally under the influence of a constant power source. Its displacement in time $t$ is proportional to:

Accepted Answer

(C) $t^{3/2}$

Answer

(A) $t^2$

Answer

(B) $t^{2/3}$

Answer

(D) $t$

Question 44

Match List-I (electromagnetic wave) with List-II (wavelength range). Choose the correct answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 45

During an adiabatic process, if the pressure of a gas is found to be proportional to the cube of its absolute temperature, then the ratio $\dfrac{C_P}{C_V}$ for the gas is:

Accepted Answer

(C) $\dfrac{3}{2}$

Answer

(A) $\dfrac{5}{3}$

Answer

(B) $\dfrac{9}{7}$

Answer

(D) $\dfrac{7}{5}$

Question 46

Match List-I (description of an elastic deformation) with List-II (corresponding modulus or quantity). Choose the correct answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 47

A vernier callipers has 20 divisions on the vernier scale, which coincide with the 19th division on the main scale. The least count of the instrument is 0.1 mm. One main scale division is equal to __________ mm.

Accepted Answer

(C) 2

Answer

(A) 1

Answer

(B) 0.5

Answer

(D) 5

Question 48

A heavy box of mass 50 kg is moving on a horizontal surface. If the coefficient of kinetic friction between the box and the horizontal surface is 0.3, then the force of kinetic friction is: (Take $g=9.8$ m/s$^2$)

Accepted Answer

(B) 147 N

Answer

(A) 14.7 N

Answer

(C) 1.47 N

Answer

(D) 1470 N

Question 49

A satellite revolving around a planet in a stationary orbit has a time period of 6 hours. The mass of the planet is one-fourth the mass of the earth. The radius of the orbit of the planet is: (Given: radius of the geo-stationary orbit for earth is $4.2	imes10^4$ km)

Accepted Answer

(D) $1.05	imes10^4$ km

Answer

(A) $1.4	imes10^4$ km

Answer

(B) $8.4	imes10^4$ km

Answer

(C) $1.68	imes10^5$ km

Question 50

The ratio of heat dissipated per second through the resistances $5\,\Omega$ and $10\,\Omega$ in the circuit given below is:

Accepted Answer

(B) 2 : 1

Answer

(A) 1 : 2

Answer

(C) 4 : 1

Answer

(D) 1 : 1

Question 51

A solenoid of length 0.5 m has a radius of 1 cm and is made up of $m$ number of turns. It carries a current of 5 A. If the magnitude of the magnetic field inside the solenoid is $6.28	imes10^{-3}$ T, then the value of $m$ is __________.

Accepted Answer

500

Question 52

The shortest wavelength of the spectral lines in the Lyman series of the hydrogen spectrum is 915 Å. The longest wavelength of the spectral lines in the Balmer series will be __________ Å.

Accepted Answer

6588

Question 53

In a single slit experiment, a parallel beam of green light of wavelength 550 nm passes through a slit of width 0.20 mm. The transmitted light is collected on a screen 100 cm away. The distance of the first order minima from the central maximum will be $x	imes10^{-5}$ m. The value of $x$ is __________.

Accepted Answer

275

Question 54

A sonometer wire of resonating length 90 cm has a fundamental frequency of 400 Hz when kept under some tension. The resonating length of the wire with a fundamental frequency of 600 Hz under the same tension is __________ cm.

Accepted Answer

60

Question 55

A hollow sphere is rolling on a plane surface about its axis of symmetry. The ratio of its rotational kinetic energy to its total kinetic energy is $\dfrac{x}{5}$. The value of $x$ is __________.

Accepted Answer

2

Question 56

A hydraulic press containing water has two arms with diameters 14 cm and 1.4 cm. A force of 10 N is applied on the surface of water in the thinner arm (diameter 1.4 cm). The force required to be applied on the surface of water in the thicker arm (diameter 14 cm) to maintain equilibrium of water is __________ N.

Accepted Answer

1000

Question 57

The electric field at a point P, at a distance $r$ on the axial line of a short electric dipole, is E. The electric field at a point R, at a distance $2r$ on the equatorial line of the same dipole, will be $\dfrac{E}{x}$. The value of $x$ is __________.

Accepted Answer

16

Question 58

The maximum height reached by a projectile is 64 m. If the initial velocity is halved, the new maximum height of the projectile is __________ m.

Accepted Answer

16

Question 59

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 __________ $\Omega$.

Accepted Answer

5

Question 60

The current in an inductor is given by $I=(3t+8)$, where $t$ is in seconds. The magnitude of the induced emf produced in the inductor is 12 mV. The self-inductance of the inductor is __________ mH.

Accepted Answer

4

Question 61

Match List-I (interhalogen / halogen species) with List-II (molecular shape). Choose the correct answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 62

While preparing crystals of Mohr's salt, dil. $	ext{H}_2	ext{SO}_4$ is added to a mixture of ferrous sulphate and ammonium sulphate before dissolving this mixture in water. Dil. $	ext{H}_2	ext{SO}_4$ is added here to:

Accepted Answer

(A) prevent the hydrolysis of ferrous sulphate

Answer

(B) prevent the hydrolysis of ammonium sulphate

Answer

(C) make the medium strongly acidic

Answer

(D) increase the rate of formation of crystals

Question 63

1-Bromo-1-methylcyclopentane is heated with sodium ethoxide (NaOEt) in ethanol ($	ext{C}_2	ext{H}_5	ext{OH}$). Identify the major product formed from the structures shown:

Accepted Answer

(C) (3)

Answer

(A) (1)

Answer

(B) (2)

Answer

(D) (4)

Question 64

The correct IUPAC nomenclature for the compound shown below is:

Accepted Answer

(C) 2-formyl-4-hydroxyhept-6-enoic acid

Answer

(A) 2-carboxy-4-hydroxyhept-6-enal

Answer

(B) 2-carboxy-4-hydroxyhept-7-enal

Answer

(D) 2-formyl-4-hydroxyhept-7-enoic acid

List-I (EM-Wave)	List-II (Wavelength Range)
A.Infra-red	I. $<10^{-3}$ nm
B.Ultraviolet	II.400 nm to 1 nm
C.X-rays	III.1 mm to 700 nm
D.Gamma rays	IV.1 nm to $10^{-3}$ nm

List-I	List-II
A.A force that restores an elastic body of unit area to its original state	I.Bulk modulus
B.Two equal and opposite forces parallel to opposite faces	II.Young's modulus
C.Forces perpendicular everywhere to the surface, per unit area, same everywhere	III.Stress
D.Two equal and opposite forces perpendicular to opposite faces	IV.Shear modulus

List-I	List-II
A. $\text{ICl}$	I.T-Shape
B. $\text{ICl}_3$	II.Square pyramidal
C. $\text{ClF}_5$	III.Pentagonal bipyramidal
D. $\text{IF}_7$	IV.Linear

List-I (Pair of Compounds)	List-II (Isomerism)
A.n-Propanol and isopropanol	I.Metamerism
B.Methoxypropane and ethoxyethane	II.Chain isomerism
C.Propanone and propanal	III.Position isomerism
D.Neopentane and isopentane	IV.Functional isomerism

JEE Main 5 April 2024 Shift 2 Question Paper with Answers

Physics — JEE Main 5 April 2024 Shift 2

Chemistry — JEE Main 5 April 2024 Shift 2

Mathematics — JEE Main 5 April 2024 Shift 2

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