JEE Main 25 June 2022 Shift 2 Question Paper

Question 1

Let $A = \{x \in R : |x+1| < 2\}$ and $B = \{x \in R : |x-1| \ge 2\}$. Then which one of the following statements is NOT true ?

Accepted Answer

(B) $B - A = R - (-3,1)$

Answer

(A) $A - B = (-1,1)$

Answer

(C) $A \cap B = (-3,-1]$

Answer

(D) $A \cup B = R - [1,3)$

Question 2

Let $a, b \in R$ be such that the equation $ax^2 - 2bx + 15 = 0$ has a repeated root $\alpha$. If $\alpha$ and $\beta$ are the roots of the equation $x^2 - 2bx + 21 = 0$, then $\alpha^2 + \beta^2$ is equal to:

Accepted Answer

(B) 58

Answer

(A) 37

Answer

(C) 68

Answer

(D) 92

Question 3

Let $z_1$ and $z_2$ be two complex numbers such that $\overline{z}_1 = i\overline{z}_2$ and $\arg\left(\frac{z_1}{\overline{z}_2}\right) = \pi$. Then

Accepted Answer

(C) $\arg z_1 = \frac{\pi}{4}$

Answer

(A) $\arg z_2 = \frac{\pi}{4}$

Answer

(B) $\arg z_2 = -\frac{3\pi}{4}$

Answer

(D) $\arg z_1 = -\frac{3\pi}{4}$

Question 4

The system of equations
$-kx + 3y - 14z = 25$
$-15x + 4y - kz = 3$
$-4x + y + 3z = 4$
is consistent for all k in the set

Accepted Answer

(D) $R - \{-11,11\}$

Answer

(A) $R$

Answer

(B) $R - \{-11,13\}$

Answer

(C) $R - \{13\}$

Question 5

$\lim_{x 	o \frac{\pi}{2}}\left( 	an^2 x \left( \left(2\sin^2 x + 3\sin x + 4ight)^{\frac{1}{2}} - \left(\sin^2 x + 6\sin x + 2ight)^{\frac{1}{2}} ight) ight)$ is equal to

Accepted Answer

(A) $\frac{1}{12}$

Answer

(B) $-\frac{1}{18}$

Answer

(C) $-\frac{1}{12}$

Answer

(D) $-\frac{1}{6}$

Question 6

The area of the region enclosed between the parabolas $y^2 = 2x - 1$ and $y^2 = 4x - 3$ is

Accepted Answer

(A) $\frac{1}{3}$

Answer

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

Answer

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

Answer

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

Question 7

The coefficient of $x^{101}$ in the expression $(5+x)^{500} + x(5+x)^{499} + x^2(5+x)^{498} + .....x^{500}$, $x > 0$, is

Accepted Answer

(A) $^{501}C_{101}(5)^{399}$

Answer

(B) $^{501}C_{101}(5)^{400}$

Answer

(C) $^{501}C_{100}(5)^{400}$

Answer

(D) $^{500}C_{101}(5)^{399}$

Question 8

The sum $1 + 2 \cdot 3 + 3 \cdot 3^2 + ..... + 10 \cdot 3^9$ is equal to

Accepted Answer

(B) $\frac{19 \cdot 3^{10} + 1}{4}$

Answer

(A) $\frac{2 \cdot 3^{12} + 10}{4}$

Answer

(C) $5 \cdot 3^{10} - 2$

Answer

(D) $\frac{9 \cdot 3^{10} + 1}{2}$

Question 9

Let P be the plane passing through the intersection of the planes $\vec{r} \cdot \left(\hat{i} + 3\hat{j} - \hat{k}\right) = 5$ and $\vec{r} \cdot \left(2\hat{i} - \hat{j} + \hat{k}\right) = 3$, and the point $(2,1,-2)$. Let the position vectors of the points X and Y be $\hat{i} - 2\hat{j} + 4\hat{k}$ and $5\hat{i} - \hat{j} + 2\hat{k}$ respectively. Then the points

Accepted Answer

(C) X and Y are on the opposite sides of P

Answer

(A) X and X + Y are on the same side of P

Answer

(B) Y and Y $-$ X are on the opposite sides of P

Answer

(D) X + Y and X $-$ Y are on the same side of P

Question 10

A circle touches both the y-axis and the line $x + y = 0$. Then the locus of its center is

Accepted Answer

(D) $x^2 - y^2 = 2xy$

Answer

(A) $y = \sqrt{2}x$

Answer

(B) $x = \sqrt{2}y$

Answer

(C) $y^2 - x^2 = 2xy$

Question 11

Water is being filled at the rate of $1\,\mathrm{cm}^3/\sec$ in a right circular conical vessel (vertex downwards) of height 35 cm and diameter 14 cm. When the height of the water level is 10 cm, the rate (in $\mathrm{cm}^2/\sec$) at which the wet conical surface area of the vessel increases is

Accepted Answer

(C) $\frac{\sqrt{26}}{5}$

Answer

(A) 5

Answer

(B) $\frac{\sqrt{21}}{5}$

Answer

(D) $\frac{\sqrt{26}}{10}$

Question 12

If $b_n = \int_{0}^{\frac{\pi}{2}} \frac{\cos^2 nx}{\sin x} dx$, $n \in N$, then

Accepted Answer

(D) $\frac{1}{b_3 - b_2}, \frac{1}{b_4 - b_3}, \frac{1}{b_5 - b_4}$ are in an A.P. with common difference $-2$

Answer

(A) $b_3 - b_2$, $b_4 - b_3$, $b_5 - b_4$ are in an A.P. with common difference $-2$

Answer

(B) $\frac{1}{b_3 - b_2}, \frac{1}{b_4 - b_3}, \frac{1}{b_5 - b_4}$ are in an A.P. with common difference 2

Answer

(C) $b_3 - b_2$, $b_4 - b_3$, $b_5 - b_4$ are in a G.P.

Question 13

If $y = y(x)$ is the solution of the differential equation $2x^2 \frac{dy}{dx} - 2xy + 3y^2 = 0$ such that $y(e) = \frac{e}{3}$, then $y(1)$ is equal to

Accepted Answer

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

Answer

(A) $\frac{1}{3}$

Answer

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

Answer

(D) 3

Question 14

If the angle made by the tangent at the point $(x_0, y_0)$ on the curve $x = 12(t + \sin t \cos t)$, $y = 12(1 + \sin t)^2, 0 < t < \frac{\pi}{2}$, with the positive x-axis is $\frac{\pi}{3}$, then $y_0$ is equal to

Accepted Answer

(C) 27

Answer

(A) $6\left(3 + 2\sqrt{2}\right)$

Answer

(B) $3\left(7 + 4\sqrt{3}\right)$

Answer

(D) 48

Question 15

The value of $2\sin(12^\circ) - \sin(72^\circ)$ is :

Accepted Answer

(D) $\frac{\sqrt{3}\left(1 - \sqrt{5}\right)}{4}$

Answer

(A) $\frac{\sqrt{5}\left(1 - \sqrt{3}\right)}{4}$

Answer

(B) $\frac{1 - \sqrt{5}}{8}$

Answer

(C) $\frac{\sqrt{3}\left(1 - \sqrt{5}\right)}{2}$

Question 16

A biased die is marked with numbers 2,4, 8, 16, 32, 32 on its faces and the probability of getting a face with mark n is $\frac{1}{n}$. If the die is thrown thrice, then the probability, that the sum of the numbers obtained is 48, is

Accepted Answer

(D) $\frac{13}{2^{12}}$

Answer

(A) $\frac{7}{2^{11}}$

Answer

(B) $\frac{7}{2^{12}}$

Answer

(C) $\frac{3}{2^{10}}$

Question 17

The negation of the Boolean expression $((\sim q) \wedge p) \Rightarrow ((\sim p) \vee q)$ is logically equivalent to

Accepted Answer

(C) $\sim\left(p \Rightarrow q\right)$

Answer

(A) $p \Rightarrow q$

Answer

(B) $q \Rightarrow p$

Answer

(D) $\sim\left(q \Rightarrow p\right)$

Question 18

If the line $y = 4 + kx$, $k > 0$, is the tangent to the parabola $y = x - x^{2}$ at the point P and V is the vertex of the parabola, then the slope of the line through P and V is :

Accepted Answer

(C) $\frac{5}{2}$

Answer

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

Answer

(B) $\frac{26}{9}$

Answer

(D) $\frac{23}{6}$

Question 19

The value of $	an^{-1}\left(\frac{\cos\left(\frac{15\pi}{4}ight) - 1}{\sin\left(\frac{\pi}{4}ight)}ight)$ is equal to

Accepted Answer

(B) $-\frac{\pi}{8}$

Answer

(A) $-\frac{\pi}{4}$

Answer

(C) $-\frac{5\pi}{12}$

Answer

(D) $-\frac{4\pi}{9}$

Question 20

The line $y = x + 1$ meets the ellipse $\frac{x^{2}}{4} + \frac{y^{2}}{2} = 1$ at two points P and Q. If r is the radius of the circle with PQ as diameter then $(3r)^{2}$ is equal to

Accepted Answer

(A) 20

Answer

(B) 12

Answer

(C) 11

Answer

(D) 8

Question 21

Let $A = \begin{pmatrix} 2 & -2 \ 1 & -1 \end{pmatrix}$ and $B = \begin{pmatrix} -1 & 2 \ -1 & 2 \end{pmatrix}$. Then the number of elements in the set $\{(n, m) : n, m \in \{1, 2, ....., 10\}$ and $nA^{n} + mB^{m} = I\}$ is ______

Accepted Answer

1

Question 22

Let $f(x) = [2x^{2} + 1]$ and $g(x) = \begin{cases} 2x - 3, & x < 0 \ 2x + 3, & x \geq 0 \end{cases}$, where [t] is the greatest integer $\leq t$. Then, in the open interval $(-1, 1)$, the number of points where fog is discontinuous is equal to ______

Accepted Answer

62

Question 23

The value of b > 3 for which $12\int_{3}^{b}\frac{1}{\left(x^{2} - 1\right)\left(x^{2} - 4\right)}dx = \log_{e}\left(\frac{49}{40}\right)$, is equal to

Accepted Answer

6

Question 24

If the sum of the coefficients of all the positive even powers of x in the binomial expansion of $\left(2x^{3} + \frac{3}{x}\right)^{10}$ is $5^{10} - \beta \cdot 3^{9}$, then $\beta$ is equal to ______

Accepted Answer

83

Question 25

If the mean deviation about the mean of the numbers 1, 2, 3, ....., n, where n is odd, is $\frac{5(n + 1)}{n}$, then n is equal to ______

Accepted Answer

21

Question 26

Let $\vec{b} = \hat{i} + \hat{j} + \lambda\hat{k}, \lambda \in R$. If $\vec{a}$ is a vector such that $\vec{a} 	imes \vec{b} = 13\hat{i} - \hat{j} - 4\hat{k}$ and $\vec{a} \cdot \vec{b} + 21 = 0$, then $\left(\vec{b} - \vec{a}ight) \cdot \left(\hat{k} - \hat{j}ight) + \left(\vec{b} + \vec{a}ight) \cdot \left(\hat{i} - \hat{k}ight)$ is equal to

Accepted Answer

14

Question 27

The total number of three-digit numbers, with one digit repeated exactly two times, is

Accepted Answer

243

Question 28

Let $f(x) = \left|(x - 1)(x^{2} - 2x - 3)\right| + x - 3$, $x \in R$. If m and M are respectively the number of points of local minimum and local maximum of f in the interval (0, 4), then m + M is equal to ______

Accepted Answer

3

Question 29

Let the eccentricity of the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ be $\frac{5}{4}$. If the equation of the normal at the point $\left(\frac{8}{\sqrt{5}}, \frac{12}{5}\right)$ on the hyperbola is $8\sqrt{5}x + \beta y = \lambda$, then $\lambda - \beta$ is equal to

Accepted Answer

85

Question 30

Let $l_{1}$ be the line in xy-plane with x and y intercepts $\frac{1}{8}$ and $\frac{1}{4\sqrt{2}}$ respectively, and $l_{2}$ be the line in zx-plane with x and z intercepts $-\frac{1}{8}$ and $-\frac{1}{6\sqrt{3}}$ respectively. If d is the shortest distance between the line $l_{1}$ and $l_{2}$, then $d^{-2}$ is equal to

Accepted Answer

51

Question 31

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A :Two identical balls A and B thrown with same velocity 'u' at two different angles with horizontal attained the same range R. If A and B reached the maximum height $h_1$ and $h_2$ respectively, then $R = 4\sqrt{h_1 h_2}$
Reason R: Product of said heights. $h_1 h_2 = \left(\frac{u^2 \sin^2 	heta}{2g}ight) \cdot \left(\frac{u^2 \cos^2 	heta}{2g}ight)$
Choose the CORRECT answer :

Accepted Answer

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

Answer

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

Answer

(C) A is true but R is false

Answer

(D) A is false but R is true

Question 32

Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by $X_P(t) = \alpha t + \beta t^2$ and $X_Q(t) = ft - t^2$. At what time, both the buses have same velocity ?

Accepted Answer

(D) $\frac{f - \alpha}{2(1 + \beta)}$

Answer

(A) $\frac{\alpha - f}{1 + \beta}$

Answer

(B) $\frac{\alpha + f}{2(\beta - 1)}$

Answer

(C) $\frac{\alpha + f}{2(1 + \beta)}$

Question 33

A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing through the center and perpendicular to its plane with an angular velocity ω. The coefficient of static friction between the bottom of the beaker and the surface of the disc is μ. The beaker will revolve with the disc if :

Accepted Answer

(B) $R \le \frac{\mu g}{\omega^2}$

Answer

(A) $R \le \frac{\mu g}{2\omega^2}$

Answer

(C) $R \ge \frac{\mu g}{2\omega^2}$

Answer

(D) $R \ge \frac{\mu g}{\omega^2}$

Question 34

A solid metallic cube having total surface area 24 $m^2$ is uniformly heated. If its temperature is increased by 10°C, calculate the increase in volume of the cube $\left(	ext{Given} : \alpha = 5.0 	imes 10^{-4}\ {}^\circ C^{-1}ight)$

Accepted Answer

(B) $1.2 	imes 10^5$ cm$^3$

Answer

(A) $2.4 	imes 10^6$ cm$^3$

Answer

(C) $6.0 	imes 10^4$ cm$^3$

Answer

(D) $4.8 	imes 10^5$ cm$^3$

Question 35

A copper block of mass 5.0 kg is heated to a temperature of 500°C and is placed on a large ice block. What is the maximum amount of ice that can melt? [Specific heat of copper: $0.39\,\mathrm{J}\,\mathrm{g}^{-1}\,{}^\circ\mathrm{C}^{-1}$ and latent heat of fusion of water : 335 J $\mathrm{g}^{-1}$]

Accepted Answer

(C) 2.9 kg

Answer

(A) 1.5 kg

Answer

(B) 5.8 kg

Answer

(D) 3.8 kg

Question 36

The ratio of specific heats $\left(\frac{C_P}{C_V}\right)$ in terms of degree of freedom (f) is given by:

Accepted Answer

(B) $\left(1 + \frac{2}{f}\right)$

Answer

(A) $\left(1 + \frac{f}{3}\right)$

Answer

(C) $\left(1 + \frac{f}{2}\right)$

Answer

(D) $\left(1 + \frac{1}{f}\right)$

Question 37

For a particle in uniform circular motion, the acceleration $\vec{a}$ at any point P(R,θ) on the circular path of radius R is (when θ is measured from the positive x –axis and v is uniform speed) :

Accepted Answer

(C) $-\frac{v^2}{R}\cos	heta\,\hat{i} - \frac{v^2}{R}\sin	heta\,\hat{j}$

Answer

(A) $-\frac{v^2}{R}\sin	heta\,\hat{i} + \frac{v^2}{R}\cos	heta\,\hat{j}$

Answer

(B) $-\frac{v^2}{R}\cos	heta\,\hat{i} + \frac{v^2}{R}\sin	heta\,\hat{j}$

Answer

(D) $-\frac{v^2}{R}\hat{i} + \frac{v^2}{R}\hat{j}$

Question 38

Two metallic plates form a parallel plate capacitor. The distance between the plates is 'd'. A metal sheet of thickness $\frac{d}{2}$ and of area equal to area of each plate is introduced between the plates. What will be the ratio  of the new capacitance to the original capacitance of the capacitor ?

Accepted Answer

(A) 2:1

Answer

(B) 1:2

Answer

(C) 1:4

Answer

(D) 4:1

Question 39

Two cells of same emf but different internal resistances $r_1$ and $r_2$ are connected in series with a resistance R. The value of resistance R, for which the potential difference across second cell is zero, is

Accepted Answer

(A) $r_2 - r_1$

Answer

(B) $r_1 - r_2$

Answer

(C) $r_1$

Answer

(D) $r_2$

Question 40

Given below are two statements:
Statement – I : Susceptibilities of paramagnetic and ferromagnetic substances increase with decrease in temperature.
Statement – II: Diamagnetism is a result of orbital motions of electrons developing magnetic moments opposite to the applied magnetic field.
Choose the CORRECT answer from the options given below : -

Accepted Answer

(A) Both statement – I and statement -II    are true.

Answer

(B) Both statement – I and Statement – II are false.

Answer

(C) Statement – I is true but statement – II is false.

Answer

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

Question 41

A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved, the new value of magnetic field will be equal to

Accepted Answer

(A) B

Answer

(B) 2 B

Answer

(C) 4 B

Answer

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

Question 42

A sinusoidal voltage V(t) = 210 sin 3000t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 μF and R = 100Ω. The phase difference (Φ) between the applied voltage and resultant current will be :

Accepted Answer

(A) $	an^{-1}(0.17)$

Answer

(B) $	an^{-1}(9.46)$

Answer

(C) $	an^{-1}(0.30)$

Answer

(D) $	an^{-1}(13.33)$

Question 43

The electromagnetic waves travel in a medium at a speed of $2.0 	imes 10^8$ m/s.The relative permeability of the medium is 1.0. The relative permittivity of the medium will be:

Accepted Answer

(A) 2.25

Answer

(B) 4.25

Answer

(C) 6.25

Answer

(D) 8.25

Question 44

The interference pattern is obtained with two coherent light sources of intensity ratio 4 :1. And the ratio $\frac{I_{max} + I_{min}}{I_{max} - I_{min}}$ is $\frac{5}{x}$. Then, the value of x will be equal to :

Accepted Answer

(B) 4

Answer

(A) 3

Answer

(C) 2

Answer

(D) 1

Question 45

A light whose electric field vectors are completely removed by using a good Polaroid, allowed to incident on the surface of the prism at Brewster's angle. Choose the most suitable option for the phenomenon related to the prism.

Accepted Answer

(D) No reflection and there will be total transmission of light.

Answer

(A) Reflected and refracted rays will be perpendicular to each other

Answer

(B) Wave will propagate along the surface of prism

Answer

(C) No refraction, and there will be total reflection of light.

Question 46

A proton, a neutron, an electron and an α-particle have same energy. If $\lambda_p, \lambda_n, \lambda_e$ and $\lambda_\alpha$ are the de Broglie's wavelengths of proton, neutron, electron and α particle respectively, then choose the correct relation from the following :

Accepted Answer

(B) $\lambda_\alpha < \lambda_n < \lambda_p < \lambda_e$

Answer

(A) $\lambda_p = \lambda_n > \lambda_e > \lambda_\alpha$

Answer

(C) $\lambda_e < \lambda_p = \lambda_n > \lambda_\alpha$

Answer

(D) $\lambda_e = \lambda_p = \lambda_n = \lambda_\alpha$

Question 47

Which of the following figure represents the variation of $\ln\left(\frac{R}{R_0}\right)$ with ln A(If R = radius of a nucleus and A = its mass number)

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 48

Identify the logic operation performed by the given circuit :

Accepted Answer

(A) AND gate

Answer

(B) OR gate

Answer

(C) NOR gate

Answer

(D) NAND gate

Question 49

Match List I with List II.
Choose the correct answer from the following options :

Accepted Answer

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

Answer

(A) A –IV, B-III, C-II, D-I

Answer

(C) A –IV, B-II, C-III, D-I

Answer

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

Question 50

If n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S. Then the total current I when its figure of merit is K will be :

Accepted Answer

(D) $\frac{nK\left(G+S\right)}{S}$

Answer

(A) $\frac{KS}{\left(S+G\right)}$

Answer

(B) $\frac{\left(G+S\right)}{nKS}$

Answer

(C) $\frac{nKS}{\left(G+S\right)}$

Question 51

For $z = a^2 x^3 y^{\frac{1}{2}}$, where 'a' is a constant. If percentage error in measurement of 'x' and 'y' are 4% and 12%, respectively, then the percentage error for 'z' will be %.

Accepted Answer

18

Question 52

A curved in a level road has a radius 75m. The maximum speed of a car turning this curved road can be 30 m/s without skidding. If radius of curved road is changed to 48 m and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be__ m/s.

Accepted Answer

24

Question 53

A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force $F = \sqrt{x} N$ as shown in figure. The value of x = _________.

Accepted Answer

12

Question 54

Moment of Inertia (M.I.) of four bodies having same mass 'M' and radius '2R' are as follows:
$I_1$= M.I. of solid sphere about its diameter
$I_2$ = M.I. of solid cylinder about its axis
$I_3$ = M.I.  of solid circular disc about its diameter
$I_4$ = M.I. of thin circular ring about its diameter
If $2(I_2 + I_3) + I_4 = x. I_1$ then the value of x will be ____

Accepted Answer

5

Question 55

Two satellites $S_1$ and $S_2$ are revolving in circular orbits around a planet with radius $R_1$ = 3200 km and $R_2$ = 800 km respectively. The ratio of speed of satellite $S_1$ to the speed of satellite $S_2$ in their respective orbits would be $\frac{1}{x}$ where x =

Accepted Answer

2

Question 56

When a gas filled in a closed vessel is heated by raising the temperature by 1°C, its pressure increase by 0.4%. The initial temperature of the gas is_______ K.

Accepted Answer

250

Question 57

27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be _____ V.

Accepted Answer

198

Question 58

The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be _____%.

Accepted Answer

300

Question 59

In a series LCR circuit, the inductance, capacitance and resistance are L = 100mH, C = 100μF and R = 10Ω respectively. They are connected to an AC source of voltage 220V and frequency of 50 Hz. The approximate value of current in the circuit will be____ A.

Accepted Answer

22

Question 60

In an experiment of CE configuration of n-p-n transistor, the transfer characteristics are observed as given in figure.
If the input resistance is 200Ω and output resistance is 60 Ω the voltage gain in this experiment will be ______

Accepted Answer

15

Question 61

The minimum energy that must be possessed by photons in order to produce the photoelectric effect with platinum metal is:
[Given: The threshold frequency of platinum is 1.3 $	imes$ 10$^{15}$ s$^{-1}$ and h = 6.6 $	imes$ 10$^{-34}$ J s.]

Accepted Answer

(C) 8.58 $	imes$ 10$^{-19}$ J

Answer

(A) 3.21 $	imes$ 10$^{-14}$ J

Answer

(B) 6.24 $	imes$ 10$^{-16}$ J

Answer

(D) 9.76 $	imes$ 10$^{-20}$ J

Question 62

At 25$^{\circ}$C and 1 atm pressure, the enthalpy of combustion of benzene (1) and acetylene (g) are -3268 kJ mol$^{-1}$ and -1300 kJ mol$^{-1}$, respectively. The change in enthalpy for the reaction 3 C$_2$H$_2$(g) $\rightarrow$ C$_6$H$_6$(l), is

Accepted Answer

(C) - 632 kJ mol$^{-1}$

Answer

(A) + 324 kJ mol$^{-1}$

Answer

(B) +632 kJ mol$^{-1}$

Answer

(D) - 732 kJ mol$^{-1}$

Question 63

Solute A associates in water. When 0.7 g of solute A is dissolved in 42.0 g of water, it depresses the freezing point by 0.2$^{\circ}$C. The percentage association of solute A in water, is
[Given : Molar mass of A = 93 g mol$^{-1}$. Molal depression constant of water is 1.86 K kg mol$^{-1}$]

Accepted Answer

(D) 80 %

Answer

(A) 50 %

Answer

(B) 60 %

Answer

(C) 70 %

Question 64

The K$_{sp}$ for bismuth sulphide (Bi$_2$S$_3$) is 1.08 $	imes$ 10$^{-73}$. The solubility of Bi$_2$S$_3$ in mol L$^{-1}$ at 298 K is

Accepted Answer

(A) 1.0 $	imes$ 10$^{-15}$

Answer

(B) 2.7 $	imes$ 10$^{-12}$

Answer

(C) 3.2 $	imes$ 10$^{-10}$

Answer

(D) 4.2 $	imes$ 10$^{-8}$

List - I	List - II
A.Facsimile	I.Static Document Image
B.Guided media Channel	II.Local Broadcast Radio
C.Frequency Modulation	III.Rectangular wave
D.Digital Signal	IV.Optical Fiber

List I	List II
A.Zymase	I.Stomach
B.Diastase	II.Yeast
C.Urease	III.Malt
D.Pepsin	IV.Soyabean

JEE Main 25 June 2022 Shift 2 Question Paper with Answers

Physics — JEE Main 25 June 2022 Shift 2

Chemistry — JEE Main 25 June 2022 Shift 2

Mathematics — JEE Main 25 June 2022 Shift 2

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