JEE Main 28 June 2022 Shift 1 Question Paper

Question 1

If $\sum_{k=1}^{31}\left({}^{31}\mathrm{C}_{k}\right)\left({}^{31}\mathrm{C}_{k-1}\right)-\sum_{k=1}^{30}\left({}^{30}\mathrm{C}_{k}\right)\left({}^{30}\mathrm{C}_{k-1}\right)=\frac{\alpha\,(60!)}{(30!)(31!)},$ Where $\alpha \in \mathrm{R},$ then the value of $16\alpha$ is equal to

Accepted Answer

(A) 1411

Answer

(B) 1320

Answer

(C) 1615

Answer

(D) 1855

Question 2

Let a function $\mathrm{f}:\mathbb{N} 	o \mathbb{N}$ be defined by
$\mathrm{f(n)}=\begin{cases} 2\mathrm{n}, & \mathrm{n}=2,4,6,8,..... \ \mathrm{n}-1, & \mathrm{n}=3,7,11,15,..... \ \dfrac{\mathrm{n}+1}{2}, & \mathrm{n}=1,5,9,13,..... \end{cases}$
then, f is

Accepted Answer

(D) one-one and onto

Answer

(A) one-one but not onto

Answer

(B) onto but not one-one

Answer

(C) neither one-one nor onto

Question 3

If the system of linear equations
$2x + 3y - z = -2$
$x + y + z = 4$
$x - y + |\lambda| z = 4\lambda - 4$
where $\lambda \in \mathbb{R},$ has no solution, then

Accepted Answer

(B) $\lambda = -7$

Answer

(A) $\lambda = 7$

Answer

(C) $\lambda = 8$

Answer

(D) $\lambda^{2} = 1$

Question 4

Let A be a matrix of order 3 × 3 and det (A) = 2. Then det (det (A) adj (5 adj ($\mathrm{A}^{3}$))) is equal to ____.

Accepted Answer

(A) $512 	imes 10^{6}$

Answer

(B) $256 	imes 10^{6}$

Answer

(C) $1024 	imes 10^{6}$

Answer

(D) $256 	imes 10^{11}$

Question 5

The total number of 5-digit numbers, formed by using the digits 1, 2, 3, 5, 6, 7 without repetition, which are multiple of 6, is

Accepted Answer

(D) 72

Answer

(A) 36

Answer

(B) 48

Answer

(C) 60

Question 6

Let $\mathrm{A}_{1},$ $\mathrm{A}_{2},$ $\mathrm{A}_{3},$ …… be an increasing geometric progression of positive real numbers. If $\mathrm{A}_{1}\mathrm{A}_{3}\mathrm{A}_{5}\mathrm{A}_{7}=\frac{1}{1296}$ and $\mathrm{A}_{2}+\mathrm{A}_{4}=\frac{7}{36},$ then, the value of $\mathrm{A}_{6}+\mathrm{A}_{8}+\mathrm{A}_{10}$ is equal to

Accepted Answer

(C) 43

Answer

(A) 33

Answer

(B) 37

Answer

(D) 47

Question 7

Let [t] denote the greatest integer less than or equal to t. Then, the value of the integral $\int_{0}^{1}[-8x^{2}+6x-1]\,dx$ is equal to

Accepted Answer

(C) $\frac{\sqrt{17}-13}{8}$

Answer

(A) $-1$

Answer

(B) $-\frac{5}{4}$

Answer

(D) $\frac{\sqrt{17}-16}{8}$

Question 8

Let $\mathrm{f}:\mathbb{R} 	o \mathbb{R}$ be defined as
$\mathrm{f(x)}=\begin{cases} [e^{x}], & x<0 \ ae^{x}+[x-1], & 0 \le x < 1 \ b+[\sin(\pi x)], & 1 \le x < 2 \ [e^{-x}]-c, & x \ge 2 \end{cases}$
where $a, b, c \in \mathbb{R}$ and [t] denotes greatest integer less than or equal to t. Then, which of the following statements is true ?

Accepted Answer

(C) If f is discontinuous at exactly one point, then $a + b + c 
e 1$.

Answer

(A) There exists $a, b, c \in \mathbb{R}$ such that f is continuous of $\mathbb{R}$.

Answer

(B) If f is discontinuous at exactly one point, then $a + b + c = 1$.

Answer

(D) f is discontinuous at atleast two points, for any values of a, b and c.

Question 9

The area of the region $\mathrm{S}=\{(x,y):y^{2} \le 8x, y \ge \sqrt{2}x, x \ge 1\}$ is

Accepted Answer

(B) $\frac{11\sqrt{2}}{6}$

Answer

(A) $\frac{13\sqrt{2}}{6}$

Answer

(C) $\frac{5\sqrt{2}}{6}$

Answer

(D) $\frac{19\sqrt{2}}{6}$

Question 10

Let the solution curve $y = y(x)$ of the differential equation,
$\left[\frac{x}{\sqrt{x^{2}-y^{2}}}+e^{\frac{y}{x}}\right]x\frac{dy}{dx}=x+\left[\frac{x}{\sqrt{x^{2}-y^{2}}}+e^{\frac{y}{x}}\right]y$
pass through the points (1, 0) and $(2\alpha, \alpha), \alpha > 0.$ Then $\alpha$ is equal to

Accepted Answer

(A) $\frac{1}{2}\exp\left(\frac{\pi}{6}+\sqrt{e}-1\right)$

Answer

(B) $\frac{1}{2}\exp\left(\frac{\pi}{3}+\sqrt{e}-1\right)$

Answer

(C) $\exp\left(\frac{\pi}{6}+\sqrt{e}+1\right)$

Answer

(D) $2\exp\left(\frac{\pi}{3}+\sqrt{e}-1\right)$

Question 11

Let $y = y(x)$ be the solution of the differential equation $x\left(1-x^{2}\right)\frac{dy}{dx}+\left(3x^{2}y-y-4x^{3}\right)=0, x>1,$ with $y(2) = -2.$ Then $y(3)$ is equal to

Accepted Answer

(A) $-18$

Answer

(B) $-12$

Answer

(C) $-6$

Answer

(D) $-3$

Question 12

The number of real solutions of $x^{7}+5x^{3}+3x+1=0$ is equal to ________.

Accepted Answer

(B) 1

Answer

(A) 0

Answer

(C) 3

Answer

(D) 5

Question 13

Let the eccentricity of the hyperbola $\mathrm{H}:\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ be $\sqrt{\frac{5}{2}}$ and length of its latus rectum be $6\sqrt{2},$ If $y = 2x + c$ is a tangent to the hyperbola H, then the value of $c^{2}$ is equal to

Accepted Answer

(B) 20

Answer

(A) 18

Answer

(C) 24

Answer

(D) 32

Question 14

If the tangents drawn at the point O(0, 0) and $\mathrm{P}\left(1+\sqrt{5},2\right)$ on the circle $x^{2}+y^{2}-2x-4y=0$ intersect at the point Q, then the area of the triangle OPQ is equal to

Accepted Answer

(C) $\frac{5+3\sqrt{5}}{2}$

Answer

(A) $\frac{3+\sqrt{5}}{2}$

Answer

(B) $\frac{4+2\sqrt{5}}{2}$

Answer

(D) $\frac{7+3\sqrt{5}}{2}$

Question 15

If two distinct point Q, R lie on the line of intersection of the planes $-x + 2y - z = 0$ and $3x - 5y + 2z = 0$ and $\mathrm{PQ}=\mathrm{PR}=\sqrt{18}$ where the point P is (1, −2, 3), then the area of the triangle PQR is equal to

Accepted Answer

(B) $\frac{4}{3}\sqrt{38}$

Answer

(A) $\frac{2}{3}\sqrt{38}$

Answer

(C) $\frac{8}{3}\sqrt{38}$

Answer

(D) $\sqrt{\frac{152}{3}}$

Question 16

The acute angle between the planes $P_1$ and $P_2$, when $P_1$ and $P_2$ are the planes passing through the intersection of the planes 5x + 8y + 13z − 29 = 0 and 8x − 7y + z − 20 = 0 and the points (2, 1, 3) and (0, 1, 2), respectively, is

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 17

Let the plane $P : \vec{r} \cdot \vec{a} = d$ contain the line of intersection of two planes $\vec{r} \cdot \left(\hat{i} + 3\hat{j} - \hat{k}\right) = 6$ and $\vec{r} \cdot \left(-6\hat{i} + 5\hat{j} - \hat{k}\right) = 7$. If the plane P passes through the point $\left(2,\, 3,\, \frac{1}{2}\right)$, then the value of $\frac{|13\vec{a}|^2}{d^2}$ is equal to

Accepted Answer

(B) 93

Answer

(A) 90

Answer

(C) 95

Answer

(D) 97

Question 18

The probability, that in a randomly selected 3-digit number at least two digits are odd, is

Accepted Answer

(A) $\frac{19}{36}$

Answer

(B) $\frac{15}{36}$

Answer

(C) $\frac{13}{36}$

Answer

(D) $\frac{23}{36}$

Question 19

Let AB and PQ be two vertical poles, 160 m apart from each other. Let C be the middle point of B and Q, which are feet of these two poles. Let $\frac{\pi}{8}$ and θ be the angles of elevation from C to P and A, respectively. If the height of pole PQ is twice the height of pole AB, then $	an^2 	heta$ is equal to

Accepted Answer

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

Answer

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

Answer

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

Answer

(D) $\frac{3-\sqrt{2}}{4}$

Question 20

Let p, q, r be three logical statements. Consider the compound statements
$S_1 : ((\sim p) \vee q) \vee ((\sim p) \vee r)$  and
$S_2 : p \rightarrow (q \vee r)$
Then, which of the following is NOT true ?

Accepted Answer

(C) If $S_2$ is False, then $S_1$ is True

Answer

(A) If $S_2$ is True, then $S_1$ is True

Answer

(B) If $S_2$ is False, then $S_1$ is False

Answer

(D) If $S_1$ is False, then $S_2$ is False

Question 21

Let $R_1$ and $R_2$ be relations on the set {1, 2, …, 50} such that
$R_1 = \{(p,\, p^n) : p 	ext{ is a prime and } n \geq 0 	ext{ is an integer}\}$
and $R_2 = \{(p,\, p^n) : p 	ext{ is a prime and } n = 0 	ext{ or } 1\}$.
Then, the number of elements in $R_1 - R_2$ is ______.

Accepted Answer

8

Question 22

The number of real solutions of the equation $e^{4x} + 4e^{3x} - 58e^{2x} + 4e^{x} + 1 = 0$ is ______.

Accepted Answer

2

Question 23

The mean and standard deviation of 15 observations are found to be 8 and 3 respectively. On rechecking it was found that, in the observations, 20 was misread as 5. Then, the correct variance is equal to ______.

Accepted Answer

17

Question 24

If $\vec{a} = 2\hat{i} + \hat{j} + 3\hat{k},$ $\vec{b} = 3\hat{i} + 3\hat{j} + \hat{k}$ and $\vec{c} = c_1\hat{i} + c_2\hat{j} + c_3\hat{k}$ are coplanar vectors and $\vec{a} \cdot \vec{c} = 5,$ $\vec{b} \perp \vec{c},$ then $122\,(c_1 + c_2 + c_3)$ is equal to ______.

Accepted Answer

150

Question 25

A ray of light passing through the point P(2, 3) reflects on the x-axis at point A and the reflected ray passes through the point Q(5, 4). Let R be the point that divides the line segment AQ internally into the ratio 2 : 1. Let the co-ordinates of the foot of the perpendicular M from R on the bisector of the angle PAQ be (α, β). Then, the value of $7\alpha + 3\beta$ is equal to ______.

Accepted Answer

31

Question 26

Let $\ell$ be a line which is normal to the curve $y = 2x^2 + x + 2$ at a point P on the curve. If the point Q(6, 4) lies on the line $\ell$ and O is origin, then the area of the triangle OPQ is equal to ______.

Accepted Answer

13

Question 27

Let $A = \{1,\, a_1,\, a_2 \ldots\ldots a_{18},\, 77\}$ be a set of integers with $1 < a_1 < a_2 < \ldots.. < a_{18} < 77$. Let the set $A + A = \{x + y : x, y \in A\}$ contain exactly 39 elements. Then, the value of $a_1 + a_2 + \ldots.. + a_{18}$ is equal to ______.

Accepted Answer

702

Question 28

The number of positive integers k such that the constant term in the binomial expansion of $\left(2x^3 + \frac{3}{x^k}ight)^{12}$, $x 
eq 0$ is $2^8 \cdot \ell,$ where $\ell$ is an odd integer, is ______.

Accepted Answer

2

Question 29

The number of elements in the set
$\{z = a + ib \in \mathbb{C} : a, b \in \mathbb{Z} 	ext{ and } 1 < |z - 3 + 2i| < 4\}$ is ______.

Accepted Answer

40

Question 30

Let the lines $y + 2x = \sqrt{11} + 7\sqrt{7}$ and $2y + x = 2\sqrt{11} + 6\sqrt{7}$ be normal to a circle $C : (x - h)^2 + (y - k)^2 = r^2.$ If the line $\sqrt{11}y - 3x = \frac{5\sqrt{77}}{3} + 11$ is tangent to the circle C, then the value of $(5h - 8k)^2 + 5r^2$ is equal to ______.

Accepted Answer

816

Question 31

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Product of Pressure (P) and time (t) has the same dimension as that of coefficient of viscosity.

Reason R:

Coefficient of viscosity $= \frac{	ext{Force}}{	ext{Velocity gradient}}$

Question: Choose the correct answer from the options given below :

Accepted Answer

(C) A is true but R is false.

Answer

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

Answer

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

Answer

(D) A is false but R is true.

Question 32

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration (a) is varying with time t as $a = k^{2}rt^{2}$. where k is a constant. The power delivered to the particle by the force acting on it is given as

Accepted Answer

(C) $mk^{2}r^{2}t$

Answer

(A) zero

Answer

(B) $mk^{2}r^{2}t^{2}$

Answer

(D) $mk^{2}rt$

Question 33

Motion of a particle in x-y plane is described by a set of following equations $x = 4\sin\left(\frac{\pi}{2} - \omega t\right)$ m and $y = 4\sin\left(\omega t\right)$ m. The path of particle will be –

Accepted Answer

(A) circular

Answer

(B) helical

Answer

(C) parabolic

Answer

(D) elliptical

Question 34

Given below are two statement :

Statement – I : What μ amount of an ideal gas undergoes adiabatic change from state $\left(P_{1}, V_{1}, T_{1}\right)$ to state $\left(P_{2}, V_{2}, T_{2}\right)$, the work done is $W = \frac{1R\left(T_{2} - T_{1}\right)}{1 - \gamma}$, where $\gamma = \frac{C_{P}}{C_{V}}$ and R = universal gas constant,

Statement — II: In the above case. when work is done on the gas. the temperature of the gas would rise.

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 35

Given below are two statements :

Statement-I : A point charge is brought in an electric field. The value of electric field at a point near to the charge may increase if the charge is positive.

Statement-II : An electric dipole is placed in a non-uniform electric field. The net electric force on the dipole will not be zero.

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-I 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 36

The three charges q/2, q and q/2 are placed at the corners A, B and C of a square of side 'a' as shown in figure. The magnitude of electric field (E) at the comer D of the square, is :

Accepted Answer

(A) $\frac{q}{4\pi\epsilon_{0}a^{2}}\left(\frac{1}{\sqrt{2}} + \frac{1}{2}\right)$

Answer

(B) $\frac{q}{4\pi\epsilon_{0}a^{2}}\left(1 + \frac{1}{\sqrt{2}}\right)$

Answer

(C) $\frac{q}{4\pi\epsilon_{0}a^{2}}\left(1 - \frac{1}{\sqrt{2}}\right)$

Answer

(D) $\frac{q}{4\pi\epsilon_{0}a^{2}}\left(\frac{1}{\sqrt{2}} - \frac{1}{2}\right)$

Question 37

An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface. Choose the correct representation of magnetic field (B) as a function of radial distance (r) from the axis of cylinder.

Accepted Answer

(D) (D)

Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Question 38

A radar sends an electromagnetic signal of electric field $(E_{0})$ = 2.25 V/m and magnetic field $(B_{0})$ = $1.5 	imes 10^{-8}$ T which strikes a target on line of sight at a distance of 3 km in a medium. After that, a pail of signal (echo) reflects back towards the radar vit1i same velocity and by same path. If the signal was transmitted at time $t_{0}$ from radar. then after how much time echo will reach to the radar?

Accepted Answer

(B) $4.0	imes10^{-5}$ s

Answer

(A) $2.0	imes10^{-5}$ s

Answer

(C) $1.0	imes10^{-5}$ s

Answer

(D) $8.0	imes10^{-5}$ s

Question 39

The refracting angle of a prism is A and refractive index of the material of the prism is cot (A/2). Then the angle of minimum deviation will be -

Accepted Answer

(A) 180 – 2A

Answer

(B) 90 – A

Answer

(C) 180 + 2A

Answer

(D) 180 – 3A

Question 40

The aperture of the objective is 24.4 cm. The resolving power of this telescope. If a light of wavelength 2440 Å is used to see the object will be

Accepted Answer

(C) $8.2	imes10^{5}$

Answer

(A) $8.1	imes10^{6}$

Answer

(B) $10.0	imes10^{7}$

Answer

(D) $1.0	imes10^{-8}$

Question 41

The de Brogue wavelengths for an electron and a photon are $\lambda_{e}$ and $\lambda_{p}$ respectively. For the same kinetic energy of electron and photon. which of the following presents the correct relation between the de Brogue wavelengths of two ?

Accepted Answer

(A) $\lambda_{p} \propto \lambda_{e}^{2}$

Answer

(B) $\lambda_{p} \propto \lambda_{e}$

Answer

(C) $\lambda_{p} \propto \sqrt{\lambda_{e}}$

Answer

(D) $\lambda_{p} \propto \sqrt{\frac{1}{\lambda_{e}}}$

Question 42

The Q-value of a nuclear reaction and kinetic energy of the projectile particle, $K_{p}$ are related as :

Accepted Answer

(D) $(K_{p} + Q) > 0$

Answer

(A) $Q = K_{p}$

Answer

(B) $(K_{p} + Q) < O$

Answer

(C) $Q < K_{p}$

Question 43

In the following circuit, the correct relation between output (Y) and inputs A and B will be :

Accepted Answer

(C) $Y = \overline{AB}$

Answer

(A) $Y = AB$

Answer

(B) $Y = A + B$

Answer

(D) $Y = \overline{A + B}$

Question 44

For using a multimeter to identify diode from electrical components. choose the correct statement out of the following about the diode :

Accepted Answer

(B) It is two terminal device which conducts current in one direction only

Answer

(A) It is two terminal device which conducts current in both directions.

Answer

(C) It does not conduct current gives an initial deflection which decays to zero.

Answer

(D) It is three terminal device which conducts current in ne direction only between central terminal and either of the remaining two terminals

Question 45

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : n-p-n transistor permits more current than a p-n-p transistor.
Reason R : Electrons have greater mobility as a charge carrier.
Choose the correct answer from the options given below :

Accepted Answer

(A) Both A and R true. and R is 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 46

Match List-I with List-II
List-I
(A) Television signal
(B) Radio signal
(C) High Quality Music
(D) Human speech
List-II
(I) 03 KHz
(II) 20 KHz
(III) 02 MHz
(IV) 06 MHz
Choose the correct answer from the options given below :

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 47

The velocity of sound in a gas. in which two wavelengths $4.08$ m and $4.16$ m produce 40 beats in 12s, will be :

Accepted Answer

(D) $707.2$ ms$^{-1}$

Answer

(A) 2.82.8 ms$^{-1}$

Answer

(B) $175.5$ ms$^{-1}$

Answer

(C) $353.6$ ms$^{-1}$

Question 48

A pendulum is suspended by a string of length 250 cm. The mass of the bob of the pendulum is 200 g. The bob is pulled aside until the string is at 60° with vertical as shown in the figure. After releasing the bob. the maximum velocity attained by the bob will be ______________ ms$^{-1}$.
(if g = 10 m/s$^{2}$)

Accepted Answer

5

Question 49

A meter bridge setup is shown in the figure. It is used to determine an unknown resistance R using a given resistor of 1 5 Ω. The galvanometer (G) shows null deflection when tapping key is at 43 cm mark from end A. If the end correction for end A is 2 cm. then the determined value of R will be ________ Ω.

Accepted Answer

19

Question 50

Current measured by the ammeter (A) in the reported circuit when no current flows through 10 Ω resistance. will be __________ A.

Accepted Answer

10

Question 51

The position vector of 1 kg object is $\vec{r} = \left(3\hat{i} - \hat{j}\right)$ m and its velocity $\vec{v} = \left(3\hat{j} + k\right)$ ms$^{-1}$. The magnitude of its angular momentum is $\sqrt{x}$ Nm where x is ______ .

Accepted Answer

91

Question 52

A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass 120 kg. Then. the trolly car starts moving with velocity 2 ms$^{-1}$. The velocity of the running man was ______________ ms$^{-1}$. when he jumps into the car.

Accepted Answer

6

Question 53

A hanging mass M is connected to a four times bigger mass by using a string-pulley arrangement. as shown in the figure. The bigger mass is placed on a horizontal ice-slab and being pulled by 2 Mg force. In this situation. tension in the string is $\frac{x}{5}$ Mg for x = _________. Neglect mass of the string and friction of the block (bigger mass) with ice slab. (Given g = acceleration due to gravity)

Accepted Answer

6

Question 54

The total internal energy of two mole monoatomic ideal gas at temperature T = 300 K will be J.
(Given R = 8.31 J/mol.K)

Accepted Answer

7479

Question 55

A sing1y ionized magnesium atom (A24) ion is accelerated to kinetic energy 5 keV and is projected perpendicularly into a magnetic field B of the magnitude 0.5 T. The radius of path formed will be ____________ cm.

Accepted Answer

10

Question 56

A telegraph line of length loo km has a capacity of $0.01$ μF/km and it carries an alternating current at $0.5$ kilo cycle per second. If minimum impedance is required, then the value of the inductance that needs to be introduced in series is _________ mH.
$\left(	ext{if } \pi = \sqrt{10}ight)$

Accepted Answer

100

Question 57

The incorrect statement about the imperfections in solids is :

Accepted Answer

(D) Vacancy defect increases the density of the substance.

Answer

(A) Schottky defect decreases the density of the substance.

Answer

(B) Interstitial defect increases the density of the substance.

Answer

(C) Frenkel defect does not alter the density of the substance.

Question 58

The Zeta potential is related to which property of colloids”

Accepted Answer

(C) Charge on the surface of colloidal particles

Answer

(A) Colour

Answer

(B) Tyndall effect

Answer

(D) Brownian movement

Question 59

Element "E"  belongs to the period 4 and group 16 of the periodic table. The valence shell electron configuration of the element, which is just above ‘E’ in the group is

Accepted Answer

(A) $3s^2. 3p^4$

Answer

(B) $3d^{10}. 4s^2, 4p^4$

Answer

(C) $4d^{10}. 5s^2, 5p^4$

Answer

(D) $2s^2$, p4

Question 60

Given are two statements one is labelled as Assertion A and other is labelled as Reason R.
Assertion A :Magnesium can reduce $Al_2O_3$ at a temperature below 1350°C, while above 1350°C aluminium can reduce MgO.
Reason R : The melting and boiling points of magnesium are lower than those of aluminium.
In light of the above statements. choose most appropriate answer from the options given below:

Accepted Answer

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

Answer

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

Answer

(C) A is correct R is not correct.

Answer

(D) A is not correct. R is correct.

Question 61

Dihydrogen reacts with CuO to give

Accepted Answer

(B) Cu

Answer

(A) $CuH_2$

Answer

(C) $Cu_2O$

Answer

(D) $Cu(OH)_2$

Question 62

Nitrogen gas is obtained by thermal decomposition of

Accepted Answer

(B) $Ba(N_3)_2$

Answer

(A) $Ba(NO_3)_2$

Answer

(C) $NaNO_2$

Answer

(D) $NaNO_3$

Question 63

Given below are two statements :
Statement -I :The pentavalent oxide of group- 15 element. $E_2O_5$. is less acidic than trivalent oxide. $E_2O_3$. of the same element.
Statement -II :The acidic character of trivalent oxide of group 15 elements. $E_2O_3$. decreases down the group.
In light of the above statements. choose most appropriate answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 64

Which one of the lanthanoids given below is the most stable in divalent form?

Accepted Answer

(C) Eu (Atomic Number 63)

Answer

(A) Ce (Atomic Number 58)

Answer

(B) Sm (Atomic Number 62)

Answer

(D) Yb (Atomic Number 70)

JEE Main 28 June 2022 Shift 1 Question Paper with Answers

Physics — JEE Main 28 June 2022 Shift 1

Chemistry — JEE Main 28 June 2022 Shift 1

Mathematics — JEE Main 28 June 2022 Shift 1

Chapters tested in this paper

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