JEE Main 25 June 2022 Shift 1 Question Paper

Question 1

Let a circle C touch the lines $L_1 : 4x - 3y + K_1 = 0$ and $L_2 : 4x - 3y + K_2 = 0$, $K_1$, $K_2 \in R$. If a line passing through the centre of the circle C intersects $L_1$ at $(-1, 2)$ and $L_2$ at $(3, -6)$, then the equation of the circle C is

Accepted Answer

(C) $(x - 1)^2 + (y + 2)^2 = 16$

Answer

(A) $(x - 1)^2 + (y - 2)^2 = 4$

Answer

(B) $(x + 1)^2 + (y - 2)^2 = 4$

Answer

(D) $(x - 1)^2 + (y - 2)^2 = 16$

Question 2

The value of $\int_0^{\pi} \frac{e^{\cos x}\sin x}{(1+\cos^2 x)(e^{\cos x} + e^{-\cos x})}dx$ is equal to

Accepted Answer

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

Answer

(A) $\frac{\pi^2}{4}$

Answer

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

Answer

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

Question 3

Let a, b and c be the length of sides of a triangle ABC such that $\frac{a+b}{7} = \frac{b+c}{8} = \frac{c+a}{9}$. If r and R are the radius of incircle and radius of circumcircle of the triangle ABC, respectively, then the value of $\frac{R}{r}$ is equal to

Accepted Answer

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

Answer

(B) $2$

Answer

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

Answer

(D) $1$

Question 4

Let $f : N 	o R$ be a function such that $f(x+y)=2f(x)f(y)$ for natural numbers x and y. If $f(1) = 2$, then the value of α for which
$\sum_{k=1}^{10} f(\alpha + k) = \frac{512}{3}(2^{20} - 1)$
holds, is

Accepted Answer

(C) $4$

Answer

(A) $2$

Answer

(B) $3$

Answer

(D) $6$

Question 5

Let A be a $3 	imes 3$ real matrix such that $A\begin{pmatrix} 1 \ 1 \ 0 \end{pmatrix} = \begin{pmatrix} 1 \ 1 \ 0 \end{pmatrix}$; $A\begin{pmatrix} 1 \ 0 \ 1 \end{pmatrix} = \begin{pmatrix} -1 \ 0 \ 1 \end{pmatrix}$ and $A\begin{pmatrix} 0 \ 0 \ 1 \end{pmatrix} = \begin{pmatrix} 1 \ 1 \ 2 \end{pmatrix}$. If $X = (x_1, x_2, x_3)^T$ and I is an identity matrix of order 3, then the system $(A - 2I)X = \begin{pmatrix} 4 \ 1 \ 1 \end{pmatrix}$ has

Accepted Answer

(B) infinitely many solutions

Answer

(A) no solution

Answer

(C) unique solution

Answer

(D) exactly two solutions

Question 6

Let $f : R 	o R$ be defined as $f(x) = x^3 + x - 5$. If $g(x)$ is a function such that $f(g(x)) = x$, ∀ $x \in R$, then $g'(63)$ is equal to ______.

Accepted Answer

(A) $\frac{1}{49}$

Answer

(B) $\frac{3}{49}$

Answer

(C) $\frac{43}{49}$

Answer

(D) $\frac{91}{49}$

Question 7

Consider the following two propositions:
P1 : ~(p→ ~q)
P2 : (p∧ ~ q)∧((~p)∨ q)
If the proposition p → ((~p)∨ q) is evaluated as FALSE, then:

Accepted Answer

(C) Both P1 and P2 are FALSE

Answer

(A) P1 is TRUE and P2 is FALSE

Answer

(B) P1 is FALSE and P2 is TRUE

Answer

(D) Both P1 and P2 are TRUE

Question 8

If $\frac{1}{2 \cdot 3^{10}} + \frac{1}{2^2 \cdot 3^9} + \cdots \frac{1}{2^{10} \cdot 3} = \frac{K}{2^{10} \cdot 3^{10}}$, then the remainder when K is divided by 6 is

Accepted Answer

(D) $5$

Answer

(A) $1$

Answer

(B) $2$

Answer

(C) $3$

Question 9

Let $f(x)$ be a polynomial function such that $f(x) + f'(x) + f''(x) = x^5 + 64$. Then, the value of $\lim_{x 	o 1} \frac{f(x)}{x - 1}$

Accepted Answer

(A) $-15$

Answer

(B) $-60$

Answer

(C) $60$

Answer

(D) $15$

Question 10

Let $E_1$ and $E_2$ be two events such that the conditional probabilities $P(E_1 | E_2) = \frac{1}{2}$, $P(E_2 | E_1) = \frac{3}{4}$ and $P(E_1 \cap E_2) = \frac{1}{8}$. Then:

Accepted Answer

(C) $P(E_1 \cap E'_2) = P(E_1)\cdot P(E_2)$

Answer

(A) $P(E_1 \cap E_2) = P(E_1)\cdot P(E_2)$

Answer

(B) $P(E'_1 \cap E'_2) = P(E'_1)\cdot P(E_2)$

Answer

(D) $P(E'_1 \cap E_2) = P(E_1)\cdot P(E_2)$

Question 11

Let $A = \begin{bmatrix} 0 & -2 \ 2 & 0 \end{bmatrix}$. If M and N are two matrices given by $M = \sum_{k=1}^{10} A^{2k}$ and $N = \sum_{k=1}^{10} A^{2k-1}$ then $MN^2$ is

Accepted Answer

(A) a non-identity symmetric matrix

Answer

(B) a skew-symmetric matrix

Answer

(C) neither symmetric nor skew-symmetric matrix

Answer

(D) an identify matrix

Question 12

Let $g : (0, \infty) 	o R$ be a differentiable function such that
$\int\left(\frac{x(\cos x - \sin x)}{e^x + 1} + \frac{g(x)(e^x + 1 - xe^x)}{(e^x + 1)^2}ight)dx = \frac{xg(x)}{e^x + 1} + c$,
for all $x > 0$, where c is an arbitrary constant. Then.

Accepted Answer

(D) g − g' is increasing in $\left(0, \frac{\pi}{2}\right)$

Answer

(A) g is decreasing in $\left(0, \frac{\pi}{4}\right)$

Answer

(B) g' is increasing in $\left(0, \frac{\pi}{4}\right)$

Answer

(C) g + g' is increasing in $\left(0, \frac{\pi}{2}\right)$

Question 13

Let $f : R 	o R$ and $g : R 	o R$ be two functions defined by $f(x) = \log_e(x^2 + 1) - e^{-x} + 1$ and $g(x) = \frac{1 - 2e^{2x}}{e^x}$. Then, for which of the following range of α, the inequality $f\left(g\left(\frac{(\alpha - 1)^2}{3}ight)ight) > f\left(g\left(\alpha - \frac{5}{3}ight)ight)$ holds?

Accepted Answer

(A) $(2, 3)$

Answer

(B) $(-2, -1)$

Answer

(C) $(1, 2)$

Answer

(D) $(-1, 1)$

Question 14

Let $\vec{a} = a_1\hat{i} + a_2\hat{j} + a_3\hat{k}$  $a_i > 0$, i = 1, 2, 3 be a vector which makes equal angles with the coordinates axes OX, OY and OZ. Also, let the projection of $\vec{a}$ on the vector $3\hat{i} + 4\hat{j}$ be 7. Let $\vec{b}$ be a vector obtained by rotating $\vec{a}$ with 90°. If $\vec{a}$, $\vec{b}$ and x-axis are coplanar, then projection of a vector $\vec{b}$ on $3\hat{i} + 4\hat{j}$ is equal to

Accepted Answer

(B) $\sqrt{2}$

Answer

(A) $\sqrt{7}$

Answer

(C) $2$

Answer

(D) $7$

Question 15

Let $y = y(x)$ be the solution of the differential equation $(x + 1)y' - y = e^{3x}(x + 1)^2$, with $y(0) = \frac{1}{3}$. Then, the point $x = -\frac{4}{3}$ for the curve $y = y(x)$ is:

Accepted Answer

(B) a point of local minima

Answer

(A) not a critical point

Answer

(C) a point of local maxima

Answer

(D) a point of inflection

Question 16

If $y = m_1x + c_1$ and $y = m_2x + c_2$, $m_1 
eq m_2$ are two common tangents of circle $x^2 + y^2 = 2$ and parabola $y^2 = x$, then the value of $8|m_1m_2|$ is equal to

Accepted Answer

(C) $-4+3\sqrt{2}$

Answer

(A) $3+4\sqrt{2}$

Answer

(B) $-5+6\sqrt{2}$

Answer

(D) $7+6\sqrt{2}$

Question 17

Let Q be the mirror image of the point P(1, 0, 1) with respect to the plane S : x + y + z = 5. If a line L passing through (1, −1, −1), parallel to the line PQ meets the plane S at R, then $QR^2$ is equal to:

Accepted Answer

(B) 5

Answer

(A) 2

Answer

(C) 7

Answer

(D) 11

Question 18

If the solution curve $y = y(x)$ of the differential equation $y^2dx + (x^2 - xy + y^2)dy = 0$, which passes through the point (1, 1) and intersects the line $y = \sqrt{3}\,x$ at the point $(\alpha, \sqrt{3}\,\alpha)$, then value of $\log_e(\sqrt{3}\,\alpha)$ is equal to

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 19

Let $x = 2t$, $y = \frac{t^2}{3}$ be a conic. Let S be the focus and B be the point on the axis of the conic such that SA ⊥ BA, where A is any point on the conic. If k is the ordinate of the centroid of ΔSAB, then $\lim_{t 	o 1} k$ is equal to

Accepted Answer

(D) $\frac{13}{18}$

Answer

(A) $\frac{17}{18}$

Answer

(B) $\frac{19}{18}$

Answer

(C) $\frac{11}{18}$

Question 20

Let $C_r$ denote the binomial coefficient of $x^r$ in the expansion of $(1 + x)^{10}$. If α, β ∈ R. $C_1 + 3\cdot 2C_2 + 5\cdot 3C_3 + \ldots$ upto 10 terms $= \frac{\alpha 	imes 2^{11}}{2^{\beta} - 1}\left(C_0 + \frac{C_1}{2} + \frac{C_2}{3} + \ldots\ 	ext{upto 10 terms}ight)$ then the value of α + β is equal to

Accepted Answer

286

Question 21

The number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is ______.

Accepted Answer

63

Question 22

Let θ be the angle between the vectors $\vec{a}$ and $\vec{b}$, where $|\vec{a}| = 4$, $|\vec{b}| = 3$ $	heta \in \left(\frac{\pi}{4}, \frac{\pi}{3}ight)$. Then $\left|\left(\vec{a} - \vec{b}ight) 	imes \left(\vec{a} + \vec{b}ight)ight|^2 + 4\left(\vec{a}\cdot\vec{b}ight)^2$ is equal to ____

Accepted Answer

576

Question 23

Let the abscissae of the two points P and Q be the roots of $2x^2 - rx + p = 0$ and the ordinates of P and Q be the roots of $x^2 - sx - q = 0$. If the equation of the circle described on PQ as diameter is $2(x^2 + y^2) - 11x - 14y - 22 = 0$, then $2r + s - 2q + p$ is equal to

Accepted Answer

7

Question 24

The number of values of x in the interval $\left(\frac{\pi}{4}, \frac{7\pi}{4}\right)$ for which $14\,\mathrm{cosec}^2x - 2\sin^2x = 21 - 4\cos^2x$ holds, is ________

Accepted Answer

4

Question 25

For a natural number n, let $a_n = 19^n - 12^n$. Then, the value of $\frac{31\alpha_9 - \alpha_{10}}{57\alpha_8}$ is

Accepted Answer

4

Question 26

Let f : R → R be a function defined by $f(x) = \left(2\left(1 - \frac{x^{25}}{2}\right)\left(2 + x^{25}\right)\right)^{\frac{1}{50}}$. If the function $g(x) = f\left(f\left(f(x)\right)\right) + f\left(f(x)\right)$, the the greatest integer less than or equal to g (1) is ______

Accepted Answer

2

Question 27

Let the lines
$L_1 : \vec{r} = \lambda(\hat{i} + 2\hat{j} + 3\hat{k})$, λ∈R
$L_2 : \vec{r} = (\hat{i} + 3\hat{j} + \hat{k}) + \mu\left(\hat{i} + \hat{j} + 5\hat{k}\right)$; μ∈R
intersect at the point S. If a plane ax + by − z + d = 0 passes through S and is parallel to both the lines $L_1$ and $L_2$, then the value of a + b + d is equal to ________

Accepted Answer

5

Question 28

Let A be a $3 	imes 3$ matrix having entries from. the set {−1, 0, 1}. The number of all such matrices A having sum of all the entries equal to 5, is ________

Accepted Answer

414

Question 29

The greatest integer less than or equal to the sum of first 100 terms of the sequence $\frac{1}{3}, \frac{5}{9}, \frac{19}{27}, \frac{65}{81}, \ldots\ldots$ is equal to

Accepted Answer

98

Question 30

If $Z=\frac{A^2B^3}{C^4}$ , then the relative error in Z will be :

Accepted Answer

(C) $\frac{2\Delta A}{A}+\frac{3\Delta B}{B}+\frac{4\Delta C}{C}$

Answer

(A) $\frac{\Delta A}{A}+\frac{\Delta B}{B}+\frac{\Delta C}{C}$

Answer

(B) $\frac{2\Delta A}{A}+\frac{3\Delta B}{B}-\frac{4\Delta C}{C}$

Answer

(D) $\frac{\Delta A}{A}+\frac{\Delta B}{B}-\frac{\Delta C}{C}$

Question 31

$\vec{A}$ is a vector quantity such that $|\vec{A}|$ = non-zero constant. Which of the following expressions is true for $\vec{A}$ ?

Accepted Answer

(C) $\vec{A}	imes\vec{A}=0$

Answer

(A) $\vec{A}.\vec{A}=0$

Answer

(B) $\vec{A}	imes\vec{A}<0$

Answer

(D) $\vec{A}	imes\vec{A}>0$

Question 32

Which of the following relations is true for two unit vectors $\hat{A}$ and $\hat{B}$ making an angle θ to each other?

Accepted Answer

(B) $|\hat{A}-\hat{B}|=|\hat{A}+\hat{B}|	an\frac{	heta}{2}$

Answer

(A) $|\hat{A}+\hat{B}|=|\hat{A}-\hat{B}|	an\frac{	heta}{2}$

Answer

(C) $|\hat{A}+\hat{B}|=|\hat{A}-\hat{B}|\cos\frac{	heta}{2}$

Answer

(D) $|\hat{A}-\hat{B}|=|\hat{A}+\hat{B}|\cos\frac{	heta}{2}$

Question 33

If force $\vec{F}=3\hat{i}+4\hat{j}-2\hat{k}$ acts on a particle having position vector $2\hat{i}+\hat{j}+2\hat{k}$ then, the torque about the origin will be :-

Accepted Answer

(B) $-10\hat{i}+10\hat{j}+5\hat{k}$

Answer

(A) $3\hat{i}+4\hat{j}-2\hat{k}$

Answer

(C) $10\hat{i}+5\hat{j}-10\hat{k}$

Answer

(D) $10\hat{i}+\hat{j}-5\hat{k}$

Question 34

The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point P will be : (Given g = acceleration due to gravity at the surface of earth)

Accepted Answer

(D) g/9

Answer

(A) g/2

Answer

(B) g/4

Answer

(C) g/3

Question 35

The terminal velocity $(v_t)$ of the spherical rain drop depends on the radius (r) of the spherical rain drop as:-

Accepted Answer

(C) $r^2$

Answer

(A) $r^{1/2}$

Answer

(B) r

Answer

(D) $r^3$

Question 36

The relation between root mean square speed $(v_{rms})$ and most probable speed $(v_p)$ for the molar mass M of oxygen gas molecule at the temperature of 300 K will be :-

Accepted Answer

(B) $v_{rms}=\sqrt{\frac{3}{2}}v_p$

Answer

(A) $v_{rms}=\sqrt{\frac{2}{3}}v_p$

Answer

(C) $v_{rms}=v_p$

Answer

(D) $v_{rms}=\sqrt{\frac{1}{3}}v_p$

Question 37

In the figure, a very large plane sheet of positive charge is shown. $P_1$ and $P_2$ are two points at distance $l$ and $2l$ from the charge distribution. If σ is the surface charge density, then the magnitude of electric fields $E_1$ and $E_2$ at $P_1$ and $P_2$ respectively are :

Accepted Answer

(C) $E_1=E_2=\sigma/2\varepsilon_0$

Answer

(A) $E_1=\sigma/\varepsilon_0$, $E_2=\sigma/2\varepsilon_0$

Answer

(B) $E_1=2\sigma/\varepsilon_0$, $E_2=\sigma/\varepsilon_0$

Answer

(D) $E_1=E_2=\sigma/\varepsilon_0$

Question 38

Match List-I with List-II
List-I
List-II
(A) AC generator
(I) Detects the presence of current in the circuit
(B) Galvanometer
(II) Converts mechanical energy into electrical energy
(C) Transformer
(III) Works on the principle of resonance in AC circuit
(D) Metal detector
(IV) Changes an alternating voltage for smaller or greater value
Choose the correct answer from the options given below :-

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 39

A long straight wire with a circular cross-section having radius R, is carrying a steady current I. The current I is uniformly distributed across this cross-section. Then the variation of magnetic field due to current I with distance r (r < R) from its centre will be :-

Accepted Answer

(B) $B\propto r$

Answer

(A) $B\propto r^2$

Answer

(C) $B\propto\frac{1}{r^2}$

Answer

(D) $B\propto\frac{1}{r}$

Question 40

If wattless current flows in the AC circuit, then the circuit is

Accepted Answer

(B) Purely Inductive circuit

Answer

(A) Purely Resistive circuit

Answer

(C) LCR series circuit

Answer

(D) RC series circuit only

Question 41

The electric field in an electromagnetic wave is given by $E=56.5\sin\omega(t-x/c)\,NC^{-1}$. Find the intensity of the wave if it is propagating along x-axis in the free space. (Given $\varepsilon_0=8.85	imes10^{-12}C^2N^{-1}m^{-2}$)

Accepted Answer

(B) 4.24 $Wm^{-2}$

Answer

(A) 5.65 $Wm^{-2}$

Answer

(C) $1.9	imes10^{-7}$ $Wm^{-2}$

Answer

(D) 56.5 $Wm^{-2}$

Question 42

The two light beams having intensities I and 9I interfere to produce a fringe pattern on a screen. The phase difference between the beams is $\frac{\pi}{2}$ at point P and π at point Q. Then the difference between the resultant intensities at P and Q will be :

Accepted Answer

(B) 6 I

Answer

(A) 2 I

Answer

(C) 5 I

Answer

(D) 7 I

Question 43

A light wave travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the same medium will be (Given : relative permeability of medium $\mu_r$ = 1)

Accepted Answer

(D) 60°

Answer

(A) 10°

Answer

(B) 20°

Answer

(C) 30°

Question 44

Given below are two statements :-
Statement I : Davisson-Germer experiment establishes the wave nature of electrons.
Statement II : If electrons have wave nature, they can interfere and show diffraction.
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) 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 45

The ratio for the speed of the electron in the 3rd orbit of He$^{+}$ to the speed of the electron in the 3rd orbit of hydrogen atom will be :-

Accepted Answer

(D) 2 : 1

Answer

(A) 1 : 1

Answer

(B) 1 : 2

Answer

(C) 4 : 1

Question 46

The photodiode is used to detect the optiocal signals. These diodes are preferably operated in reverse biased mode because.

Accepted Answer

(D) fractional change in minority carriers produce higher reverse bias current

Answer

(A) fractional change in majority carriers produce higher forward bias current

Answer

(B) fractional change in majority carriers produce higher reverse bias current

Answer

(C) fractional change in minority carriers produce higher forward bias current

Question 47

A signal of 100 THz frequency can be transmitted with maximum efficiency by :

Accepted Answer

(B) Optical fibre

Answer

(A) Coaxial cable

Answer

(C) Twisted pair of copper wires

Answer

(D) Water

Question 48

The difference of speed of light in the two media A and B $(v_{A} - v_{B})$ is $2.6 	imes 10^{7}$ m/s. If the refractive index of medium B is 1.47, then the ratio of refractive index of medium B to medium A is : (Given : speed of light in vacuum $c = 3 	imes 10^{8}\ \mathrm{ms}^{-1}$)

Accepted Answer

(C) 1.13

Answer

(A) 1.303

Answer

(B) 1.318

Answer

(D) 0.12

Question 49

A teacher in his physics laboratory allotted an experiment to determine the resistance (G) of a galvanometer. Students took the observations for $\frac{1}{3}$ deflection in the galvanometer. Which of the below is true for measuring value of G?

Accepted Answer

(B) $\frac{1}{3}$ deflection method can be used and in this case the G equals to twice the value of shunt resistance(s).

Answer

(A) $\frac{1}{3}$ deflection method cannot be used for determining the resistance of the galvanometer.

Answer

(C) $\frac{1}{3}$ deflection method can be used and in this case, the G equals to three times the value of shunt resistance(s)

Answer

(D) $\frac{1}{3}$ deflection method can be used and in this case the G value equals to the shunt resistance(s).

Question 50

A uniform chain of 6 m length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and the surface of the table is 0.5, the maximum length of the chain hanging from the table is __________ m.

Accepted Answer

2

Question 51

A 0.5 kg block moving at a speed of $12\ \mathrm{ms}^{-1}$ compresses a spring through a distance 30 cm when its speed is halved. The spring constant of the spring will be __________ $\mathrm{Nm}^{-1}$.

Accepted Answer

600

Question 52

The velocity of upper layer of water in a river is $36\ \mathrm{kmh}^{-1}$. Shearing stress between horizontal layers of water is $10^{-3}\ \mathrm{Nm}^{-2}$. Depth of the river is __________ m. (Co-efficiency of viscosity of water is $10^{-2}$ Pa.s)

Accepted Answer

100

Question 53

A steam engine intakes 50g of steam at 100°C per minute and cools it down to 20°C. If latent heat of vaporization of steam is $540\ \mathrm{cal\ g}^{-1}$, then the heat rejected by the steam engine per minute is ______ $	imes 10^{3}$ cal.

Accepted Answer

31

Question 54

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 20 cm. The length of the open organ pipe is ______ cm.

Accepted Answer

80

Question 55

The equivalent capacitance between points A and B in below shown figure will be _____ μF.

Accepted Answer

6

Question 56

A resistor develops 300 J of thermal energy in 15s, when a current of 2A is passed through it. If the current increases to 3A, the energy developed in 10s is _________ J.

Accepted Answer

450

Question 57

The total current supplied to the circuit as shown in figure by the 5V battery is _________ A

Accepted Answer

2

Question 58

The current in a coil of self inductance 2.0 H is increasing according to $I = 2\sin(t^{2})$ A. The amount of energy spent during the period when current changes from 0 to 2A is ______ J.

Accepted Answer

4

Question 59

A force on an object of mass 100g is $(10\hat{i} + 5\hat{j})$ N. The position of that object at $t = 2$s is $(a\hat{i} + b\hat{j})$ m after starting from rest. The value of $\frac{a}{b}$ will be _________

Accepted Answer

2

Question 60

Bonding in which of the following diatomic molecule(s) become(s) stronger, on the basis of MO Theory, by removal of an electron ?
(A) NO
(B) $N_2$
(C) $O_2$
(D) $C_2$
(E) $B_2$
Choose the most appropriate answer from the options given below :-

Accepted Answer

(C) (A), (C) only

Answer

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

Answer

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

Answer

(D) (D) only

Question 61

Incorrect statement for Tyndall effect is :-

Accepted Answer

(B) The diameter of the dispersed particles is much smaller than the wavelength of the light used.

Answer

(A) The refractive indices of the dispersed phase and the dispersion medium differ greatly in magnitude.

Answer

(C) During projection of movies in the cinemas hall, Tyndall effect is noticed.

Answer

(D) It is used to distinguish a true solution from a colloidal solution.

Question 62

The pair, in which ions are isoelectronic with $Al^{3+}$ is :-

Accepted Answer

(D) $O^{2-}$ and $Mg^{2+}$

Answer

(A) $Br^-$ and $Be^{2+}$

Answer

(B) $Cl^-$ and $Li^+$

Answer

(C) $S^{2-}$ and $K^+$

Question 63

Leaching of gold with dilute aqueous solution of NaCN in presence of oxygen gives complex [A], which on reaction with zinc forms the elemental gold and another complex [B]. [A] and [B], respectively are :-

Accepted Answer

(C) $[Au(CN)_2]^-$ and $[Zn(CN)_4]^{2-}$

Answer

(A) $[Au(CN)_4]^-$ and $[Zn(CN)_2(OH)_2]^{2-}$

Answer

(B) $[Au(CN)_2]^-$ and $[Zn(OH)_4]^{2-}$

Answer

(D) $[Au(CN)_4]^{2-}$ and $[Zn(CN)_6]^{4-}$

Question 64

Number of electron deficient molecules among the following
$PH_3$, $B_2H_6$, $CCl_4$, $NH_3$, LiH and $BCl_3$ is

Accepted Answer

(C) 2

Answer

(A) 0

Answer

(B) 1

Answer

(D) 3

JEE Main 25 June 2022 Shift 1 Question Paper with Answers

Physics — JEE Main 25 June 2022 Shift 1

Chemistry — JEE Main 25 June 2022 Shift 1

Mathematics — JEE Main 25 June 2022 Shift 1

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