JEE Main 4 April 2024 Shift 2 Question Paper

Question 1

Let $f(x)=\dfrac{72^x-9^x-8^x+1}{\sqrt{2}-\sqrt{1+\cos x}}$ for $x
e 0$, and $f(0)=a\,\log_e 2\,\log_e 3$. If $f$ is continuous at $x=0$, then the value of $a^2$ is equal to

Accepted Answer

(B) 1152

Answer

(A) 768

Answer

(C) 746

Answer

(D) 1250

Question 2

If $\lambda>0$, let $	heta$ be the angle between the vectors $\vec{a}=\hat{i}+\lambda\hat{j}-3\hat{k}$ and $\vec{b}=3\hat{i}-\hat{j}+2\hat{k}$. If the vectors $\vec{a}+\vec{b}$ and $\vec{a}-\vec{b}$ are mutually perpendicular, then the value of $(14\cos	heta)^2$ is equal to

Accepted Answer

(A) 25

Answer

(B) 20

Answer

(C) 50

Answer

(D) 40

Question 3

Let C be a circle with radius $\sqrt{10}$ units and centre at the origin. Let the line $x+y=2$ intersect the circle C at the points P and Q. Let MN be a chord of C of length 2 unit and slope $-1$. Then, a distance (in units) between the chord PQ and the chord MN is

Accepted Answer

(B) $3-\sqrt{2}$

Answer

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

Answer

(C) $\sqrt{2}-1$

Answer

(D) $\sqrt{2}+1$

Question 4

Let a relation R on $\mathbb{N}	imes\mathbb{N}$ be defined as $(x_1,y_1)\,R\,(x_2,y_2)$ if and only if $x_1\le x_2$ or $y_1\le y_2$. Consider the two statements: (I) R is reflexive but not symmetric. (II) R is transitive. Then which one of the following is true?

Accepted Answer

(B) Only (I) is correct.

Answer

(A) Only (II) is correct.

Answer

(C) Both (I) and (II) are correct.

Answer

(D) Neither (I) nor (II) is correct.

Question 5

Let three real numbers $a$, $b$, $c$ be in arithmetic progression and $a+1$, $b$, $c+3$ be in geometric progression. If $a>10$ and the arithmetic mean of $a$, $b$ and $c$ is 8, then the cube of the geometric mean of $a$, $b$ and $c$ is

Accepted Answer

(A) 120

Answer

(B) 312

Answer

(C) 316

Answer

(D) 128

Question 6

Let $A=\begin{bmatrix}1&2\0&1\end{bmatrix}$ and $B=I+\operatorname{adj}(A)+(\operatorname{adj}A)^2+\ldots+(\operatorname{adj}A)^{10}$. Then, the sum of all the elements of the matrix B is

Accepted Answer

(C) $-88$

Answer

(A) $-110$

Answer

(B) $22$

Answer

(D) $-124$

Question 7

The value of $\dfrac{1\cdot 2^2+2\cdot 3^2+\ldots+100\cdot(101)^2}{1^2\cdot 2+2^2\cdot 3+\ldots+100^2\cdot 101}$ is

Accepted Answer

(B) $	frac{305}{301}$

Answer

(A) $	frac{306}{305}$

Answer

(C) $	frac{32}{31}$

Answer

(D) $	frac{31}{30}$

Question 8

Let $f(x)=\displaystyle\int_0^x\left(t+\sin\left(1-e^tight)ight)dt$, $x\in\mathbb{R}$. Then $\displaystyle\lim_{x	o 0}\dfrac{f(x)}{x^3}$ is equal to

Accepted Answer

(B) $-	frac{1}{6}$

Answer

(A) $	frac{1}{6}$

Answer

(C) $-	frac{2}{3}$

Answer

(D) $	frac{2}{3}$

Question 9

The area (in sq. units) of the region described by $\{(x,y):y^2\le 2x 	ext{ and } y\ge 4x-1\}$ is

Accepted Answer

(D) $	frac{9}{32}$

Answer

(A) $	frac{11}{32}$

Answer

(B) $	frac{8}{3}$

Answer

(C) $	frac{11}{12}$

Question 10

The area (in sq. units) of the region $S=\{z=x+iy:|z-1|\le 2,\;(z+\bar{z})+i(z-\bar{z})\le 2,\;\operatorname{Im}(z)\ge 0\}$ is

Accepted Answer

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

Answer

(B) $3\pi$

Answer

(C) $	frac{17\pi}{6}$

Answer

(D) $	frac{7\pi}{4}$

Question 11

If the value of the integral $\displaystyle\int_{-1}^{1}\dfrac{\cos\alpha x}{1+3^x}\,dx$ is $\dfrac{2}{\pi}$, then a value of $\alpha$ is

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 12

Let $f(x)=3\sqrt{x-2}+\sqrt{4-x}$ be a real valued function. If $\alpha$ and $\beta$ are respectively the minimum and the maximum values of $f$, then $\alpha^2+2\beta^2$ is equal to

Accepted Answer

(B) 42

Answer

(A) 44

Answer

(C) 24

Answer

(D) 38

Question 13

If the coefficients of $x^4$, $x^5$ and $x^6$ in the expansion of $(1+x)^n$ are in the arithmetic progression, then the maximum value of $n$ is

Accepted Answer

(A) 14

Answer

(B) 21

Answer

(C) 28

Answer

(D) 7

Question 14

Consider the hyperbola H having centre at the origin and foci on the x-axis. Let $C_1$ be the circle touching the hyperbola H and having the centre at the origin. Let $C_2$ be the circle touching the hyperbola H at its vertex and having the centre at one of its foci. If areas (in sq. units) of $C_1$ and $C_2$ are $36\pi$ and $4\pi$, respectively, then the length (in units) of latus rectum of H is

Accepted Answer

(A) $	frac{28}{3}$

Answer

(B) $	frac{14}{3}$

Answer

(C) $	frac{10}{3}$

Answer

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

Question 15

If the mean of the following probability distribution of a random variable X: ($X$: 0, 2, 4, 6, 8 with $P(X)$: $2a$, $3a$, $a+b$, $2b$, $3b$ respectively) is $\dfrac{46}{9}$, then the variance of the distribution is

Accepted Answer

(B) $	frac{566}{81}$

Answer

(A) $	frac{581}{81}$

Answer

(C) $	frac{173}{27}$

Answer

(D) $	frac{151}{27}$

Question 16

Let PQ be a chord of the parabola $y^2=12x$ and the midpoint of PQ be at $(4,1)$. Then, which of the following point lies on the line passing through the points P and Q?

Accepted Answer

(D) $\left(	frac{1}{2},-20ight)$

Answer

(A) $(3,-3)$

Answer

(B) $\left(	frac{3}{2},-16ight)$

Answer

(C) $(2,-9)$

Question 17

Given the inverse trigonometric function assumes principal values only. Let $x$, $y$ be any two real numbers in $[-1,1]$ such that $\cos^{-1}x-\sin^{-1}y=\alpha$, $-\dfrac{\pi}{2}\le\alpha\le\pi$. Then, the minimum value of $x^2+y^2+2xy\sin\alpha$ is

Accepted Answer

(B) $0$

Answer

(A) $-1$

Answer

(C) $-	frac{1}{2}$

Answer

(D) $	frac{1}{2}$

Question 18

Let $y=y(x)$ be the solution of the differential equation $(x^2+4)^2\,dy+(2x^3y+8xy-2)\,dx=0$. If $y(0)=0$, then $y(2)$ is equal to

Accepted Answer

(D) $	frac{\pi}{32}$

Answer

(A) $	frac{\pi}{8}$

Answer

(B) $	frac{\pi}{16}$

Answer

(C) $2\pi$

Question 19

Let $\vec{a}=\hat{i}+\hat{j}+\hat{k}$, $\vec{b}=2\hat{i}+4\hat{j}-5\hat{k}$ and $\vec{c}=x\hat{i}+2\hat{j}+3\hat{k}$, $x\in\mathbb{R}$. If $\vec{d}$ is the unit vector in the direction of $\vec{b}+\vec{c}$ such that $\vec{a}\cdot\vec{d}=1$, then $(\vec{a}	imes\vec{b})\cdot\vec{c}$ is equal to

Accepted Answer

(D) 11

Answer

(A) 9

Answer

(B) 6

Answer

(C) 3

Question 20

Let P be the point of intersection of the lines $\dfrac{x-2}{1}=\dfrac{y-4}{5}=\dfrac{z-2}{2}$ and $\dfrac{x-3}{2}=\dfrac{y-2}{3}=\dfrac{z-3}{3}$. Then the shortest distance of P from the line $4x=2y=z$ is

Accepted Answer

(C) $	frac{3\sqrt{14}}{7}$

Answer

(A) $	frac{5\sqrt{14}}{7}$

Answer

(B) $	frac{\sqrt{14}}{7}$

Answer

(D) $	frac{6\sqrt{14}}{7}$

Question 21

Let $S=\{\sin^2 2	heta:(\sin^4	heta+\cos^4	heta)x^2+(\sin 2	heta)x+(\sin^6	heta+\cos^6	heta)=0 	ext{ has real roots}\}$. If $\alpha$ and $\beta$ be the smallest and largest elements of the set S, respectively, then $3\left((\alpha-2)^2+(\beta-1)^2ight)$ equals

Accepted Answer

4

Question 22

If $\displaystyle\int\operatorname{cosec}^5 x\,dx=\alpha\cot x\,\operatorname{cosec} x\left(\operatorname{cosec}^2 x+	frac{3}{2}ight)+\beta\log_e\left|	an	frac{x}{2}ight|+C$, where $\alpha,\beta\in\mathbb{R}$ and C is constant of integration, then the value of $8(\alpha+\beta)$ equals

Accepted Answer

1

Question 23

Let $f:\mathbb{R}	o\mathbb{R}$ be a thrice differentiable function such that $f(0)=0$, $f(1)=1$, $f(2)=-1$, $f(3)=2$ and $f(4)=-2$. Then, the minimum number of zeros of $\left(3f'f''+ff'''ight)(x)$ is

Accepted Answer

5

Question 24

Consider the function $f:\mathbb{R}	o\mathbb{R}$ defined by $f(x)=\dfrac{2x}{\sqrt{1+9x^2}}$. If the composition of $f$, $\underbrace{(f\circ f\circ f\circ\ldots\circ f)}_{10	ext{ times}}(x)=\dfrac{2^{10}x}{\sqrt{1+9\alpha x^2}}$, then the value of $\sqrt{3\alpha+1}$ is equal to

Accepted Answer

1024

Question 25

Let A be a $2	imes 2$ symmetric matrix such that $A\begin{bmatrix}1\1\end{bmatrix}=\begin{bmatrix}3\7\end{bmatrix}$ and the determinant of A be 1. If $A^{-1}=\alpha A+\beta I$, where I is an identity matrix of order $2	imes 2$, then $\alpha+\beta$ equals

Accepted Answer

5

Question 26

There are 4 men and 5 women in Group A, and 5 men and 4 women in Group B. If 4 persons are selected from each group, then the number of ways of selecting 4 men and 4 women is

Accepted Answer

5626

Question 27

In a tournament, a team plays 10 matches with probabilities of winning and losing each match as $\dfrac{1}{3}$ and $\dfrac{2}{3}$ respectively. Let $x$ be the number of matches that the team wins, and $y$ be the number of matches that team loses. If the probability $P(|x-y|\le 2)$ is $p$, then $3^9 p$ equals

Accepted Answer

8288

Question 28

Consider a triangle ABC having the vertices $A(1,2)$, $B(\alpha,\beta)$ and $C(\gamma,\delta)$ and angles $\angle ABC=\dfrac{\pi}{6}$ and $\angle BAC=\dfrac{2\pi}{3}$. If the points B and C lie on the line $y=x+4$, then $\alpha^2+\gamma^2$ is equal to

Accepted Answer

14

Question 29

Consider a line L passing through the points $P(1,2,1)$ and $Q(2,1,-1)$. If the mirror image of the point $A(2,2,2)$ in the line L is $(\alpha,\beta,\gamma)$, then $\alpha+\beta+6\gamma$ is equal to

Accepted Answer

6

Question 30

Let $y=y(x)$ be the solution of the differential equation $(x+y+2)^2\,dx=dy$, $y(0)=-2$. Let the maximum and minimum values of the function $y=y(x)$ in $\left[0,\dfrac{\pi}{3}\right]$ be $\alpha$ and $\beta$, respectively. If $(3\alpha+\pi)^2+\beta^2=\gamma+\delta\sqrt{3}$, $\gamma,\delta\in\mathbb{Z}$, then $\gamma+\delta$ equals

Accepted Answer

31

Question 31

The translational degrees of freedom ($f_t$) and rotational degrees of freedom ($f_r$) of $	ext{CH}_4$ molecule are

Accepted Answer

(B) $f_t=3$ and $f_r=3$

Answer

(A) $f_t=2$ and $f_r=2$

Answer

(C) $f_t=3$ and $f_r=2$

Answer

(D) $f_t=2$ and $f_r=3$

Question 32

A cyclist starts from the point P of a circular ground of radius 2 km and travels along its circumference to the point S (shown in the figure). The displacement of a cyclist is

Accepted Answer

(B) $\sqrt{8}$ km

Answer

(A) 6 km

Answer

(C) 4 km

Answer

(D) 8 km

Question 33

The magnetic moment of a bar magnet is $0.5\ 	ext{Am}^2$. It is suspended in a uniform magnetic field of $8	imes10^{-2}$ T. The work done in rotating it from its most stable to most unstable position is

Accepted Answer

(B) $8	imes10^{-2}$ J

Answer

(A) $2	imes10^{-2}$ J

Answer

(C) $4	imes10^{-2}$ J

Answer

(D) Zero

Question 34

Which of the diode circuit shows correct biasing used for the measurement of dynamic resistance of p-n junction diode?

Accepted Answer

(B) (2)

Answer

(A) (1)

Answer

(C) (3)

Answer

(D) (4)

Question 35

Arrange the following in the ascending order of wavelength $(\lambda)$: (A) Gamma rays $(\lambda_1)$, (B) X-ray $(\lambda_2)$, (C) Infrared waves $(\lambda_3)$, (D) Microwaves $(\lambda_4)$. Choose the most appropriate answer from the options given below:

Accepted Answer

(C) $\lambda_1<\lambda_2<\lambda_3<\lambda_4$

Answer

(A) $\lambda_4<\lambda_3<\lambda_1<\lambda_2$

Answer

(B) $\lambda_4<\lambda_3<\lambda_2<\lambda_1$

Answer

(D) $\lambda_2<\lambda_1<\lambda_4<\lambda_3$

Question 36

Identify the logic gate given in the circuit (shown in the figure):

Accepted Answer

(B) OR - gate

Answer

(A) NAND - gate

Answer

(C) AND gate

Answer

(D) NOR gate

Question 37

The width of one of the two slits in a Young's double slit experiment is 4 times that of the other slit. The ratio of the maximum to the minimum intensity in the interference pattern is

Accepted Answer

(A) $9:1$

Answer

(B) $16:1$

Answer

(C) $1:1$

Answer

(D) $4:1$

Question 38

Correct formula for height of a satellite from earth's surface is

Accepted Answer

(B) $\left(	frac{T^2R^2g}{4\pi^2}ight)^{1/3}-R$

Answer

(A) $\left(	frac{T^2R^2g}{4\pi}ight)^{1/2}-R$

Answer

(C) $\left(	frac{T^2R^2}{4\pi^2 g}ight)^{1/3}-R$

Answer

(D) $\left(	frac{T^2R^2}{4\pi^2}ight)^{-1/3}+R$

Question 39

Match List-I (type of AC circuit) with List-II (the phasor diagram of current I and voltage V). Choose the correct answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 40

Given below are two statements:
Statement I: The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well.
Statement II: The rise of a liquid in a capillary tube does not depend on the inner radius of the tube.
In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

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

Answer

(A) Both Statement I and Statement II are false

Answer

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

Answer

(D) Both Statement I and Statement II are true

Question 41

A body of $m$ kg slides from rest along the curve of vertical circle from point A to B in friction less path (shown in the figure). The velocity of the body at B is (given, $R=14$ m, $g=10\ 	ext{m/s}^2$ and $\sqrt{2}=1.4$)

Accepted Answer

(B) 21.9 m/s

Answer

(A) 19.8 m/s

Answer

(C) 16.7 m/s

Answer

(D) 10.6 m/s

Question 42

An electric bulb rated $50\ 	ext{W}-200\ 	ext{V}$ is connected across a $100$ V supply. The power dissipation of the bulb is

Accepted Answer

(A) 12.5 W

Answer

(B) 25 W

Answer

(C) 50 W

Answer

(D) 100 W

Question 43

A 2 kg brick begins to slide over a surface which is inclined at an angle of $45^{\circ}$ with respect to horizontal axis. The co-efficient of static friction between their surfaces is

Accepted Answer

(A) 1

Answer

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

Answer

(C) 0.5

Answer

(D) $	frac{1}{\sqrt{2}}$

Question 44

In a simple harmonic motion, the total mechanical energy of given system is E. If mass of the oscillating particle P is doubled then the new energy of the system for same amplitude is

Accepted Answer

(B) E

Answer

(A) $	frac{E}{\sqrt{2}}$

Answer

(C) $E\sqrt{2}$

Answer

(D) $2E$

Question 45

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Number of photons increases with increase in frequency of light.
Reason R: Maximum kinetic energy of emitted electrons increases with the frequency of incident radiation.
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 NOT the correct explanation of A.

Answer

(B) A is correct but R is not correct.

Answer

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

Question 46

According to Bohr's theory, the moment of momentum of an electron revolving in $4^{	ext{th}}$ orbit of hydrogen atom is

Accepted Answer

(C) $	frac{2h}{\pi}$

Answer

(A) $	frac{8h}{\pi}$

Answer

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

Answer

(D) $	frac{h}{2\pi}$

Question 47

A sample of gas at temperature T is adiabatically expanded to double its volume. Adiabatic constant for the gas is $\gamma=	frac{3}{2}$. The work done by the gas in the process is ($\mu=1$ mole)

Accepted Answer

(D) $RT\left[2-\sqrt{2}\right]$

Answer

(A) $RT\left[\sqrt{2}-2\right]$

Answer

(B) $RT\left[1-2\sqrt{2}\right]$

Answer

(C) $RT\left[2\sqrt{2}-1\right]$

Question 48

A charge $q$ is placed at the center of one of the surface of a cube. The flux linked with the cube is

Accepted Answer

(B) $	frac{q}{2\varepsilon_0}$

Answer

(A) $	frac{q}{4\varepsilon_0}$

Answer

(C) $	frac{q}{8\varepsilon_0}$

Answer

(D) Zero

Question 49

Applying the principle of homogeneity of dimensions, determine which one is correct, where T is time period, G is gravitational constant, M is mass, r is radius of orbit.

Accepted Answer

(C) $T^2=	frac{4\pi^2 r^3}{GM}$

Answer

(A) $T^2=	frac{4\pi^2 r}{GM^2}$

Answer

(B) $T^2=4\pi^2 r^3$

Answer

(D) $T^2=	frac{4\pi^2 r^2}{GM}$

Question 50

A 90 kg body placed at $2R$ distance from surface of earth experiences gravitational pull of (R = Radius of earth, $g=10\ 	ext{ms}^{-2}$)

Accepted Answer

(D) 100 N

Answer

(A) 300 N

Answer

(B) 225 N

Answer

(C) 450 N

Question 51

The displacement of a particle executing SHM is given by $x=10\sin\left(\omega t+	frac{\pi}{3}ight)$ m. The time period of motion is 3.14 s. The velocity of the particle at $t=0$ is ______ m/s.

Accepted Answer

10

Question 52

A bus moving along a straight highway with speed of 72 km/h is brought to halt within 4 s after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is ______ m.

Accepted Answer

40

Question 53

A parallel plate capacitor of capacitance 12.5 pF is charged by a battery connected between its plates to potential difference of 12.0 V. The battery is now disconnected and a dielectric slab $(\varepsilon_r=6)$ is inserted between the plates. The change in its potential energy after inserting the dielectric slab is ______ $	imes10^{-12}$ J.

Accepted Answer

750

Question 54

In a system two particles of masses $m_1=3$ kg and $m_2=2$ kg are placed at certain distance from each other. The particle of mass $m_1$ is moved towards the center of mass of the system through a distance 2 cm. In order to keep the center of mass of the system at the original position, the particle of mass $m_2$ should move towards the center of mass by the distance ______ cm.

Accepted Answer

3

Question 55

The disintegration energy Q for the nuclear fission of $^{235}	ext{U}	o{}^{140}	ext{Ce}+{}^{94}	ext{Zr}+2n$ is ______ MeV. Given atomic masses are: $^{235}	ext{U}:235.0439\,u$, $^{140}	ext{Ce}:139.9054\,u$, $^{94}	ext{Zr}:93.9063\,u$, $n:1.00866\,u$. Value of $c^2=931\ 	ext{MeV/u}$.

Accepted Answer

208

Question 56

A light ray is incident on a glass slab of thickness $4\sqrt{3}$ cm and refractive index $\sqrt{2}$. The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of ray after passing through glass slab is ______ cm. (Given $\sin 15^{\circ}=0.25$)

Accepted Answer

2

Question 57

A rod of length 60 cm rotates with a uniform angular velocity 20 rad s$^{-1}$ about its perpendicular bisector, in a uniform magnetic field 0.5 T. The direction of magnetic field is parallel to the axis of rotation. The potential difference between the two ends of the rod is ______ V.

Accepted Answer

0

Question 58

Two wires A and B are made up of the same material and have the same mass. Wire A has radius of 2.0 mm and wire B has radius of 4.0 mm. The resistance of wire B is $2\,\Omega$. The resistance of wire A is ______ $\Omega$.

Accepted Answer

32

Question 59

Two parallel long current carrying wire separated by a distance $2r$ are shown in the figure. The ratio of magnetic field at A to the magnetic field produced at C is $	frac{x}{7}$. The value of $x$ is ______.

Accepted Answer

5

Question 60

Mercury is filled in a tube of radius 2 cm up to a height of 30 cm. The force exerted by mercury on the bottom of the tube is ______ N. (given, atmospheric pressure $=10^5\ 	ext{N/m}^2$, density of mercury $=13.6	imes10^3\ 	ext{kg/m}^3$, $g=10\ 	ext{m/s}^2$, $\pi=	frac{22}{7}$)

Accepted Answer

177

Question 61

The equilibrium constant for the reaction $	ext{SO}_3(g)ightleftharpoons	ext{SO}_2(g)+	frac{1}{2}	ext{O}_2(g)$ is $K_C=4.9	imes10^{-2}$. The value of $K_C$ for the reaction $2	ext{SO}_2(g)+	ext{O}_2(g)ightleftharpoons 2	ext{SO}_3(g)$ given below is

Accepted Answer

(D) 416

Answer

(A) 4.9

Answer

(B) 41.6

Answer

(C) 49

Question 62

Find out the major product formed from the following reaction (the substrate is shown in the figure, treated with $	ext{Me}_2	ext{NH}$, 2 equivalents):

Accepted Answer

(B) (2)

Answer

(A) (1)

Answer

(C) (3)

Answer

(D) (4)

Question 63

When $	ext{MnO}_2$ and $	ext{H}_2	ext{SO}_4$ is added to a salt (A), greenish yellow gas liberated as salt (A) is

Accepted Answer

(D) $	ext{NH}_4	ext{Cl}$

Answer

(A) $	ext{NaBr}$

Answer

(B) $	ext{CaI}_2$

Answer

(C) $	ext{KNO}_3$

Question 64

The correct statement/s about Hydrogen bonding is/are: A. Hydrogen bonding exists when H is covalently bonded to the highly electro negative atom. B. Intermolecular H bonding is present in o-nitro phenol. C. Intramolecular H bonding is present in HF. D. The magnitude of H bonding depends on the physical state of the compound. E. H-bonding has powerful effect on the structure and properties of compounds. Choose the correct answer from the options given below:

Accepted Answer

(B) A, D, E only

Answer

(A) A only

Answer

(C) A, B, D only

Answer

(D) A, B, C only

List-I	List-II
A.Purely capacitive circuit	I.see figure
B.Purely inductive circuit	II.see figure
C.LCR series at resonance	III.see figure
D.LCR series circuit	IV.see figure

List-I	List-II
A. $\alpha$ -Glucose and $\alpha$ -Galactose	I.Functional isomers
B. $\alpha$ -Glucose and $\beta$ -Glucose	II.Homologous
C. $\alpha$ -Glucose and $\alpha$ -Fructose	III.Anomers
D. $\alpha$ -Glucose and $\alpha$ -Ribose	IV.Epimers

JEE Main 4 April 2024 Shift 2 Question Paper with Answers

Physics — JEE Main 4 April 2024 Shift 2

Chemistry — JEE Main 4 April 2024 Shift 2

Mathematics — JEE Main 4 April 2024 Shift 2

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