JEE Main 2 April 2025 Shift 2 Question Paper

Question 1

If the image of the point $P(1, 0, 3)$ in the line joining the points $A(4, 7, 1)$ and $B(3, 5, 3)$ is $Q(\alpha, \beta, \gamma)$, then $\alpha + \beta + \gamma$ is equal to:

Accepted Answer

(B) $\dfrac{46}{3}$

Answer

(A) $\dfrac{47}{3}$

Answer

(C) 18

Answer

(D) 13

Question 2

Let $f:[1,\infty)	o[2,\infty)$ be a differentiable function. If $10\displaystyle\int_1^x f(t)\,dt = 5x\,f(x) - x^5 - 9$ for all $x\ge 1$, then the value of $f(3)$ is:

Accepted Answer

(B) 32

Answer

(A) 18

Answer

(C) 22

Answer

(D) 26

Question 3

The number of terms of an A.P. is even; the sum of all the odd terms is 24, the sum of all the even terms is 30 and the last term exceeds the first by $\dfrac{21}{2}$. Then the number of terms which are integers in the A.P. is:

Accepted Answer

(A) 4

Answer

(B) 10

Answer

(C) 6

Answer

(D) 8

Question 4

Let $A=\{1,2,3,\dots,10\}$ and $R$ be a relation on $A$ such that $R=\{(a,b):a=2b+1\}$. Let $(a_1,a_2),(a_2,a_3),(a_3,a_4),\dots,(a_k,a_{k+1})$ be a sequence of $k$ elements of $R$ such that the second entry of an ordered pair is equal to the first entry of the next ordered pair. Then the largest integer $k$, for which such a sequence exists, is equal to:

Accepted Answer

(C) 5

Answer

(A) 6

Answer

(B) 7

Answer

(D) 8

Question 5

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

Accepted Answer

(A) $\dfrac{4}{\sqrt{17}}$

Answer

(B) $\dfrac{\sqrt3}{16}$

Answer

(C) $\dfrac{3}{\sqrt{19}}$

Answer

(D) $\dfrac{\sqrt5}{7}$

Question 6

The line $L_1$ is parallel to the vector $\vec{a}=-3\hat{i}+2\hat{j}+4\hat{k}$ and passes through the point $(7,6,2)$ and the line $L_2$ is parallel to the vector $\vec{b}=2\hat{i}+\hat{j}+3\hat{k}$ and passes through the point $(5,3,4)$. The shortest distance between the lines $L_1$ and $L_2$ is:

Accepted Answer

(A) $\dfrac{23}{\sqrt{38}}$

Answer

(B) $\dfrac{21}{\sqrt{57}}$

Answer

(C) $\dfrac{23}{\sqrt{57}}$

Answer

(D) $\dfrac{21}{\sqrt{38}}$

Question 7

Let $(a,b)$ be the point of intersection of the curve $x^2=2y$ and the straight line $y-2x-6=0$ in the second quadrant. Then the integral $I=\displaystyle\int_a^b \dfrac{9x^2}{1+5^x}\,dx$ is equal to:

Accepted Answer

(A) 24

Answer

(B) 27

Answer

(C) 18

Answer

(D) 21

Question 8

If the system of equations $2x+\lambda y+3z=5$, $3x+2y-z=7$, $4x+5y+\mu z=9$ has infinitely many solutions, then $(\lambda^2+\mu^2)$ is equal to:

Accepted Answer

(C) 26

Answer

(A) 22

Answer

(B) 18

Answer

(D) 30

Question 9

If $	heta\in\left[-\dfrac{7\pi}{6},\dfrac{4\pi}{3}ight]$, then the number of solutions of $\sqrt{3}\,\operatorname{cosec}^2	heta-2(\sqrt{3}-1)\operatorname{cosec}	heta-4=0$ is equal to:

Accepted Answer

(A) 6

Answer

(B) 8

Answer

(C) 10

Answer

(D) 7

Question 10

Three identical bags, each containing 10 balls, have colours as follows — Bag I: 3 Red, 2 Blue, 5 Green; Bag II: 4 Red, 3 Blue, 3 Green; Bag III: 5 Red, 1 Blue, 4 Green. A person chooses a bag at random and takes out a ball. If the ball is Red, the probability that it is from Bag I is $p$, and if the ball is Green, the probability that it is from Bag III is $q$, then the value of $\left(\dfrac{1}{p}+\dfrac{1}{q}\right)$ is:

Accepted Answer

(C) 7

Answer

(A) 6

Answer

(B) 9

Answer

(D) 8

Question 11

If the mean and variance of $6, 4, a, 8, b, 12, 10, 13$ are 9 and $\dfrac{37}{4}$ respectively, then $a+b+ab$ is equal to:

Accepted Answer

(B) 103

Answer

(A) 105

Answer

(C) 100

Answer

(D) 106

Question 12

If the domain of the function $f(x)=\dfrac{1}{\sqrt{10+3x-x^2}}+\dfrac{1}{\sqrt{x+|x|}}$ is $(a,b)$, then $(1+a)^2+b^2$ is equal to:

Accepted Answer

(A) 26

Answer

(B) 29

Answer

(C) 25

Answer

(D) 30

Question 13

$4\displaystyle\int_0^1\left(\dfrac{1}{\sqrt{3+x^2}+\sqrt{1+x^2}}\right)dx-3\log_e(\sqrt3)$ is equal to:

Accepted Answer

(B) $2-\sqrt2-\log_e(1+\sqrt2)$

Answer

(A) $2+\sqrt2+\log_e(1+\sqrt2)$

Answer

(C) $2+\sqrt2-\log_e(1+\sqrt2)$

Answer

(D) $2-\sqrt2+\log_e(1+\sqrt2)$

Question 14

If $\displaystyle\lim_{x	o0}\dfrac{\cos(2x)+a\cos(4x)-b}{x^4}$ is finite, then $(a+b)$ is equal to:

Accepted Answer

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

Answer

(B) 0

Answer

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

Answer

(D) $-1$

Question 15

If $\displaystyle\sum_{r=0}^{10}\left(\dfrac{10^{r+1}-1}{10^r}\right)\cdot {}^{11}C_{r+1}=\dfrac{\alpha^{11}-11^{11}}{10^{10}}$, then $\alpha$ is equal to:

Accepted Answer

(D) 20

Answer

(A) 15

Answer

(B) 11

Answer

(C) 24

Question 16

The number of ways, in which the letters A, B, C, D, E can be placed in the 8 boxes of the figure (shown in the figure) so that no row remains empty and at most one letter can be placed in a box, is:

Accepted Answer

(D) 5760

Answer

(A) 5880

Answer

(B) 960

Answer

(C) 840

Question 17

Let the point $P$ of the focal chord $PQ$ of the parabola $y^2=16x$ be $(1,-4)$. If the focus of the parabola divides the chord $PQ$ in the ratio $m:n$, $\gcd(m,n)=1$, then $m^2+n^2$ is equal to:

Accepted Answer

(A) 17

Answer

(B) 10

Answer

(C) 37

Answer

(D) 26

Question 18

Let $\vec{a}=2\hat{i}-3\hat{j}+\hat{k}$, $\vec{b}=3\hat{i}+2\hat{j}+5\hat{k}$ and a vector $\vec{c}$ be such that $(\vec{a}-\vec{c})	imes\vec{b}=-18\hat{i}-3\hat{j}+12\hat{k}$ and $\vec{a}\cdot\vec{c}=3$. If $\vec{b}	imes\vec{c}=\vec{d}$, then $|\vec{a}\cdot\vec{d}|$ is equal to:

Accepted Answer

(D) 15

Answer

(A) 18

Answer

(B) 12

Answer

(C) 9

Question 19

Let the area of the triangle formed by a straight line $L:x+by+c=0$ with the co-ordinate axes be 48 square units. If the perpendicular drawn from the origin to the line $L$ makes an angle of $45^\circ$ with the positive x-axis, then the value of $b^2+c^2$ is:

Accepted Answer

(C) 97

Answer

(A) 90

Answer

(B) 93

Answer

(D) 83

Question 20

Let $A$ be a $3	imes3$ real matrix such that $A^2(A-2I)-4(A-I)=O$, where $I$ and $O$ are the identity and null matrices respectively. If $A^4=\alpha A^2+\beta A+\gamma I$, where $\alpha,\beta,\gamma$ are real constants, then $\alpha+\beta+\gamma$ is equal to:

Accepted Answer

(A) 12

Answer

(B) 20

Answer

(C) 76

Answer

(D) 4

Question 21

Let $y=y(x)$ be the solution of the differential equation $\dfrac{dy}{dx}+2y\sec^2x=2\sec^2x+3	an x\cdot\sec^2x$ such that $y(0)=\dfrac{5}{4}$. Then $12\left(y\left(\dfrac{\pi}{4}ight)-e^{-2}ight)$ is equal to ______.

Accepted Answer

21

Question 22

If the sum of the first 10 terms of the series $\dfrac{4\cdot1}{1+4\cdot1^4}+\dfrac{4\cdot2}{1+4\cdot2^4}+\dfrac{4\cdot3}{1+4\cdot3^4}+\dots$ is $\dfrac{m}{n}$, where $\gcd(m,n)=1$, then $m+n$ is equal to ______.

Accepted Answer

441

Question 23

If $y=\cos\left(\dfrac{\pi}{3}+\cos^{-1}\dfrac{x}{2}\right)$, then $(x-y)^2+3y^2$ is equal to ______.

Accepted Answer

3

Question 24

Let $A(4,-2)$, $B(1,1)$ and $C(9,-3)$ be the vertices of a triangle. Then the maximum area of the parallelogram AFDE, formed with vertices D, E and F on the sides BC, CA and AB of the triangle ABC respectively, is ______.

Accepted Answer

3

Question 25

If the set of all $a\in\mathbb{R}-\{1\}$, for which the roots of the equation $(1-a)x^2+2(a-3)x+9=0$ are positive is $(-\infty,-\alpha]\cup[\beta,\gamma)$, then $2\alpha+\beta+\gamma$ is equal to ______.

Accepted Answer

7

Question 26

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Net dipole moment of a polar linear isotropic dielectric substance is not zero even in the absence of an external electric field.
Reason (R): In absence of an external electric field, the different permanent dipoles of a polar dielectric substance are oriented in random directions.
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) (A) is correct but (R) is not correct

Answer

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

Answer

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

Question 27

In a moving coil galvanometer, two moving coils $M_1$ and $M_2$ have the following particulars: $R_1=5\,\Omega$, $N_1=15$, $A_1=3.6	imes10^{-3}\,m^2$, $B_1=0.25\,T$; $R_2=7\,\Omega$, $N_2=21$, $A_2=1.8	imes10^{-3}\,m^2$, $B_2=0.5\,T$. Assuming the other constants are the same, the ratio of voltage sensitivity of $M_1$ and $M_2$ is:

Accepted Answer

(A) $1:1$

Answer

(B) $1:4$

Answer

(C) $1:3$

Answer

(D) $1:2$

Question 28

The moment of inertia of a circular ring of mass M and diameter r about a tangential axis lying in the plane of the ring is:

Accepted Answer

(B) $\dfrac{3}{8}Mr^2$

Answer

(A) $\dfrac{1}{2}Mr^2$

Answer

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

Answer

(D) $2Mr^2$

Question 29

Two water drops each of radius $r$ coalesce to form a bigger drop. If $T$ is the surface tension, the surface energy released in this process is:

Accepted Answer

(A) $4\pi r^2 T\left[2-2^{2/3}\right]$

Answer

(B) $4\pi r^2 T\left[2-2^{1/3}\right]$

Answer

(C) $4\pi r^2 T\left[1+\sqrt2\right]$

Answer

(D) $4\pi r^2 T\left[\sqrt2-1\right]$

Question 30

An electron with mass 'm' with an initial velocity $\vec{v}=v_0\hat{i}$ $(v_0>0)$ enters a magnetic field $\vec{B}=B_0\hat{j}$. If the initial de-Broglie wavelength at $t=0$ is $\lambda_0$, then its value after time $t$ would be:

Accepted Answer

(D) $\lambda_0$

Answer

(A) $\dfrac{\lambda_0}{\sqrt{1-\frac{e^2B_0^2t^2}{m^2}}}$

Answer

(B) $\dfrac{\lambda_0}{\sqrt{1+\frac{e^2B_0^2t^2}{m^2}}}$

Answer

(C) $\lambda_0\sqrt{1+\frac{e^2B_0^2t^2}{m^2}}$

Question 31

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x-direction in 0.3 sec. The crest P is at $x=0$ at $t=0$ sec and maximum displacement of the wave is 2 cm. Which equation correctly represents this wave?

Accepted Answer

(A) $y=2\cos(0.83x-3.35t)$ cm

Answer

(B) $y=2\sin(0.83x-3.5t)$ cm

Answer

(C) $y=2\cos(3.35x-0.83t)$ cm

Answer

(D) $y=2\cos(0.13x-0.5t)$ cm

Question 32

Given a charge $q$, current $I$ and permeability of vacuum $\mu_0$. Which of the following quantity has the dimension of momentum?

Accepted Answer

(B) $q\mu_0 I$

Answer

(A) $qI/\mu_0$

Answer

(C) $q^2\mu_0 I$

Answer

(D) $q\mu_0/I$

Question 33

A solenoid having area A and length $l$ is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is:

Accepted Answer

(D) $\dfrac{B^2Al}{4\mu_0}$

Answer

(A) $\dfrac{B^2Al}{\mu_0}$

Answer

(B) $\dfrac{B^2Al}{2\mu_0}$

Answer

(C) $B^2Al$

Question 34

Two large plane parallel conducting plates are kept 10 cm apart as shown in the figure. The potential difference between them is V. The potential difference between the points A and B (shown in the figure) is:

Accepted Answer

(B) $\dfrac{2}{5}V$

Answer

(A) $\dfrac{1}{4}V$

Answer

(C) $\dfrac{3}{4}V$

Answer

(D) $1\,V$

Question 35

Identify the characteristics of an adiabatic process in a monoatomic gas. (A) Internal energy is constant. (B) Work done in the process is equal to the change in internal energy. (C) The product of temperature and volume is a constant. (D) The product of pressure and volume is a constant. (E) The work done to change the temperature from $T_1$ to $T_2$ is proportional to $(T_2-T_1)$. Choose the correct answer from the options given below:

Accepted Answer

(C) (B), (E) only

Answer

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

Answer

(B) (A), (C), (E) only

Answer

(D) (B), (D) only

Question 36

Assuming the validity of Bohr's atomic model for hydrogen like ions, the radius of $Li^{++}$ ion in its ground state is given by $\dfrac{1}{X}a_0$, where $X=$ ______. (Where $a_0$ is the first Bohr's radius.)

Accepted Answer

(C) 3

Answer

(A) 2

Answer

(B) 1

Answer

(D) 9

Question 37

Energy released when two deuterons $(_1H^2)$ fuse to form a helium nucleus $(_2He^4)$ is: (Given: Binding energy per nucleon of $_1H^2=1.1$ MeV and binding energy per nucleon of $_2He^4=7.0$ MeV)

Accepted Answer

(C) 23.6 MeV

Answer

(A) 8.1 MeV

Answer

(B) 5.9 MeV

Answer

(D) 26.8 MeV

Question 38

In the digital circuit shown in the figure, for the given inputs the P and Q values are:

Accepted Answer

(B) $P=0, Q=0$

Answer

(A) $P=1, Q=1$

Answer

(C) $P=0, Q=1$

Answer

(D) $P=1, Q=0$

Question 39

Two identical objects are placed in front of a convex mirror and a concave mirror having same radii of curvature of 12 cm, at same distance of 18 cm from the respective mirrors. The ratio of sizes of the images formed by the convex mirror and by the concave mirror is:

Accepted Answer

(A) $1/2$

Answer

(B) $2$

Answer

(C) $3$

Answer

(D) $1/3$

Question 40

A sportsman runs around a circular track of radius $r$ such that he traverses the path ABAB. The distance travelled and displacement, respectively, are:

Accepted Answer

(D) $3\pi r,\ 2r$

Answer

(A) $2r,\ 3\pi r$

Answer

(B) $3\pi r,\ \pi r$

Answer

(C) $\pi r,\ 3r$

Question 41

A body of mass 1 kg is suspended with the help of two strings making angles as shown in the figure. Magnitude of tensions $T_1$ and $T_2$, respectively, are (in N):

Accepted Answer

(B) $5\sqrt3,\ 5$

Answer

(A) $5,\ 5\sqrt3$

Answer

(C) $5\sqrt3,\ 5\sqrt3$

Answer

(D) $5,\ 5$

Question 42

A bi-convex lens has radius of curvature of both the surfaces same as $1/6$ cm. If this lens is required to be replaced by another convex lens having different radii of curvatures on both sides $(R_1
e R_2)$, without any change in lens power, then the possible combination of $R_1$ and $R_2$ is:

Accepted Answer

(B) $\dfrac{1}{5}$ cm and $\dfrac{1}{7}$ cm

Answer

(A) $\dfrac{1}{3}$ cm and $\dfrac{1}{3}$ cm

Answer

(C) $\dfrac{1}{3}$ cm and $\dfrac{1}{7}$ cm

Answer

(D) $\dfrac{1}{6}$ cm and $\dfrac{1}{9}$ cm

Question 43

If $\mu_0$ and $\varepsilon_0$ are the permeability and permittivity of free space, respectively, then the dimension of $\left(\dfrac{1}{\mu_0\varepsilon_0}\right)$ is:

Accepted Answer

(B) $L^2/T^2$

Answer

(A) $L/T^2$

Answer

(C) $T^2/L$

Answer

(D) $T^2/L^2$

Question 44

Match List-I (Physical Quantity) with List-II (SI Unit). Choose the correct answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 45

Consider a circular loop that is uniformly charged and has a radius $a\sqrt2$. Find the position along the positive z-axis of the cartesian coordinate system where the electric field is maximum, if the ring is assumed to be placed in the xy-plane at the origin:

Accepted Answer

(C) $a$

Answer

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

Answer

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

Answer

(D) $0$

Question 46

A wheel of radius 0.2 m rotates freely about its center when a string that is wrapped over its rim is pulled by a force of 10 N as shown in the figure. The established torque produces an angular acceleration of 2 $rad/s^2$. Moment of inertia of the wheel is ______ $kg\,m^2$. (Acceleration due to gravity $=10\,m/s^2$)

Accepted Answer

1

Question 47

The internal energy of air in a $4\,m	imes4\,m	imes3\,m$ sized room at 1 atmospheric pressure will be ______ $	imes10^6\,J$. (Consider air as a diatomic molecule)

Accepted Answer

12

Question 48

A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to $60^\circ$. The refractive index of the prism material is $\sqrt2$. The angle of incidence (in degrees) is ______.

Accepted Answer

45

Question 49

The length of a light string is 1.4 m when the tension in it is 5 N. If the tension increases to 7 N, the length of the string is 1.56 m. The original length of the string is ______ m.

Accepted Answer

1

Question 50

A satellite of mass 1000 kg is launched to revolve around the earth in an orbit at a height of 270 km from the earth’s surface. Kinetic energy of the satellite in this orbit is ______ $	imes10^{10}\,J$. (Mass of earth $=6	imes10^{24}$ kg, Radius of earth $=6.4	imes10^6$ m, Gravitational constant $=6.67	imes10^{-11}\,Nm^2kg^{-2}$)

Accepted Answer

3

Question 51

When a concentrated solution of sulphanilic acid and 1-naphthylamine is treated with nitrous acid (273 K) and acidified with acetic acid, the mass (g) of 0.1 mole of product formed is: (Given molar mass in g mol$^{-1}$ — H:1, C:12, N:14, O:16, S:32)

Accepted Answer

(C) 33

Answer

(A) 343

Answer

(B) 330

Answer

(D) 66

Question 52

The d-orbital electronic configuration of the complex among $[Co(en)_3]^{3+}$, $[CoF_6]^{3-}$, $[Mn(H_2O)_6]^{2+}$ and $[Zn(H_2O)_6]^{2+}$ that has the highest CFSE value is:

Accepted Answer

(A) $t_{2g}^6 e_g^0$

Answer

(B) $t_{2g}^6 e_g^4$

Answer

(C) $t_{2g}^3 e_g^2$

Answer

(D) $t_{2g}^4 e_g^2$

Question 53

Given below are two statements: Statement (I): Neopentane forms only one monosubstituted derivative. Statement (II): Melting point of neopentane is higher than n-pentane. In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

(B) Both Statement I and Statement II are correct

Answer

(A) Statement I is correct but Statement II is incorrect

Answer

(C) Both Statement I and Statement II are incorrect

Answer

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

Question 54

Which among the following molecules is (a) involved in $sp^3d$ hybridization, (b) has different bond lengths and (c) has lone pair of electrons on the central atom?

Accepted Answer

(C) $SF_4$

Answer

(A) $PF_5$

Answer

(B) $XeF_4$

Answer

(D) $XeF_2$

Question 55

Formation of $Na_4[Fe(CN)_5NOS]$, a purple coloured complex formed by addition of sodium nitroprusside in sodium carbonate extract of salt, indicates the presence of:

Accepted Answer

(C) Sulphide ion

Answer

(A) Sodium ion

Answer

(B) Sulphate ion

Answer

(D) Sulphite ion

Question 56

In 3,3-dimethylhex-1-ene-4-yne, there are ______ $sp^3$, ______ $sp^2$ and ______ $sp$ hybridized carbon atoms respectively:

Accepted Answer

(A) 4, 2, 2

Answer

(B) 3, 3, 2

Answer

(C) 2, 4, 2

Answer

(D) 2, 2, 4

Question 57

Which of the following statements are true? (A) The subsidiary quantum number $l$ describes the shape of the orbital occupied by the electron. (B) The boundary surface shown in the figure is the boundary surface diagram of the $2p_x$ orbital. (C) The $+$ and $-$ signs in the wave function of the $2p_x$ orbital refer to charge. (D) The wave function of $2p_x$ orbital is zero everywhere in the xy plane. Choose the correct answer from the options given below:

Accepted Answer

(D) (A) and (B) only

Answer

(A) (B) and (D) only

Answer

(B) (A), (B) and (C) only

Answer

(C) (C) and (D) only

Question 58

The type of hybridization and the magnetic property of $[MnCl_6]^{3-}$ are:

Accepted Answer

(B) $sp^3d^2$, paramagnetic with four unpaired electrons

Answer

(A) $d^2sp^3$, paramagnetic with four unpaired electrons

Answer

(C) $d^2sp^3$, paramagnetic with two unpaired electrons

Answer

(D) $sp^3d^2$, paramagnetic with two unpaired electrons

Question 59

Consider the following reactions. From these reactions which reaction will give carboxylic acid as a major product? (A) $R{-}C\equiv N \xrightarrow{	ext{(i) }H^+/H_2O,\ 	ext{mild}}$ (B) $R{-}MgX \xrightarrow{	ext{(i) }CO_2\ 	ext{(ii) }H_3O^+}$ (C) $R{-}C\equiv N \xrightarrow{	ext{(i) }SnCl_2\cdot3HCl\ 	ext{(ii) }H_3O^+}$ (D) $R{-}CH_2{-}OH \xrightarrow{PCC}$ (E) $C_6H_5COCl \xrightarrow{H_2/Pd	ext{-}BaSO_4} C_6H_5CHO$. Choose the correct answer from the options given below:

Accepted Answer

(D) B, D and E only

Answer

(A) A and D only

Answer

(B) A, B and E only

Answer

(C) B, C and E only

Question 60

Electronic configuration of four elements A, B, C and D are given below: (A) $1s^2 2s^2 2p^3$ (B) $1s^2 2s^2 2p^4$ (C) $1s^2 2s^2 2p^5$ (D) $1s^2 2s^2 2p^2$. Which of the following is the correct order of increasing electronegativity (Pauling’s scale)?

Accepted Answer

(D) $D<A<B<C$

Answer

(A) $A<D<B<C$

Answer

(B) $A<C<B<D$

Answer

(C) $A<B<C<D$

Question 61

Match List-I (Purification technique) with List-II (Mixture of organic compounds). Choose the correct answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 62

'X' g of NaCl is added to water in a beaker with a lid. The temperature of the system is raised from $1^\circ C$ to $25^\circ C$. Which of the following graphs is best suited for the change in the molarity (M) of the solution with respect to temperature? [Consider the solubility of NaCl remains unchanged over the temperature range]

Accepted Answer

(B) (2)

Answer

(A) (1)

Answer

(C) (3)

Answer

(D) (4)

Question 63

Arrange the following in order of magnitude of work done by the system / on the system at constant temperature: (a) $|W_{reversible}|$ for expansion in infinite stage. (b) $|W_{irreversible}|$ for expansion in single stage. (c) $|W_{reversible}|$ for compression in infinite stage. (d) $|W_{irreversible}|$ for compression in single stage. Choose the correct answer from the options given below:

Accepted Answer

(B) $d>c>a>b$

Answer

(A) $a>b>c>d$

Answer

(C) $c>a>d>b$

Answer

(D) $a>c>b>d$

Question 64

Reactant A converts to product D through the following mechanism (with the net evolution of heat): $A	o B$ slow, $\Delta H=+ve$; $B	o C$ fast, $\Delta H=-ve$; $C	o D$ fast, $\Delta H=-ve$. Which of the following represents the above reaction mechanism?

Accepted Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Answer

(D) (4)

List-I (Physical Quantity)	List-II (SI Unit)
A.Heat capacity of body	I. $J\,kg^{-1}$
B.Specific heat capacity of body	II. $JK^{-1}$
C.Latent heat	III. $J\,kg^{-1}K^{-1}$
D.Thermal conductivity	IV. $Jm^{-1}K^{-1}s^{-1}$

List-I (Purification technique)	List-II (Mixture of organic compounds)
A.Distillation (simple)	I.Diesel + Petrol
B.Fractional distillation	II.Aniline + Water
C.Distillation under reduced pressure	III.Chloroform + Aniline
D.Steam distillation	IV.Glycerol + Spent-lye

List-I (Reaction)	List-II (Name of reaction)
A. $2\,C_6H_5Br + 2Na \xrightarrow{\text{dry ether}}$	I.Fittig reaction
B. $ArN_2X \xrightarrow{Cu/HX} ArCl + N_2 + CuX$	II.Finkelstein reaction
C. $C_2H_5Br + NaI \xrightarrow{}$	III.Lucas reaction
D. $(CH_3)_3C{-}OH + HCl \xrightarrow{ZnCl_2}$	IV.Gattermann reaction

JEE Main 2 April 2025 Shift 2 Question Paper with Answers

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