JEE Main 29 June 2022 Shift 1 Question Paper

Question 1

The probability that a randomly chosen 2 × 2 matrix with all the entries from the set of first 10 primes, is singular, is equal to :

Accepted Answer

(C) $\frac{19}{10^{3}}$

Answer

(A) $\frac{133}{10^{4}}$

Answer

(B) $\frac{18}{10^{3}}$

Answer

(D) $\frac{271}{10^{4}}$

Question 2

Let the solution curve of the differential equation $x\frac{dy}{dx} - y = \sqrt{y^{2} + 16x^{2}}$, $y(1) = 3$ be $y = y(x)$. Then $y(2)$ is equal to :

Accepted Answer

(A) 15

Answer

(B) 11

Answer

(C) 13

Answer

(D) 17

Question 3

If the mirror image of the point (2, 4, 7) in the plane $3x - y + 4z = 2$ is (a, b, c), the $2a + b + 2c$ is equal to :

Accepted Answer

(C) −6

Answer

(A) 54

Answer

(B) 50

Answer

(D) −42

Question 4

Let $f : R 	o R$ be a function defined by :
$f(x) = \begin{cases} \max\limits_{t \le x}\{t^{3} - 3t\}\ ; & x \le 2 \ x^{2} + 2x - 6\ ; & 2 < x < 3 \ [x - 3] + 9\ ; & 3 \le x \le 5 \ 2x + 1\ ; & x > 5 \end{cases}$
Where [t] is the greatest integer less than or equal to t. Let m be the number of points where f is not differentiable and $I = \int_{-2}^{2} f(x)dx$. Then the ordered pair (m, I) is equal to :

Accepted Answer

(C) $\left(4, \frac{27}{4}\right)$

Answer

(A) $\left(3, \frac{27}{4}\right)$

Answer

(B) $\left(3, \frac{23}{4}\right)$

Answer

(D) $\left(4, \frac{23}{4}\right)$

Question 5

Let $\vec{a} = \alpha\hat{i} + 3\hat{j} - \hat{k}, \vec{b} = 3\hat{i} - \beta\hat{j} + 4\hat{k}$ and $\vec{c} = \hat{i} + 2\hat{j} - 2\hat{k}$ where α, β ∈ R, be three vectors. If the projection of $\vec{a}$ on $\vec{c}$ is $\frac{10}{3}$ and $\vec{b} 	imes \vec{c} = -6\hat{i} + 10\hat{j} + 7\hat{k}$, then the value of α + β equal to :

Accepted Answer

(A) 3

Answer

(B) 4

Answer

(C) 5

Answer

(D) 6

Question 6

The area enclosed by $y^{2} = 8x$ and $y = \sqrt{2}\,x$ that lies outside the triangle formed by $y = \sqrt{2}x$, $x = 1$, $y = 2\sqrt{2}$, is equal to :

Accepted Answer

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

Answer

(A) $\frac{16\sqrt{2}}{6}$

Answer

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

Answer

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

Question 7

If the system of linear equations
$2x + y - z = 7$
$x - 3y + 2z = 1$
$x + 4y + \delta z = k$, where δ, k ∈ R
has infinitely many solutions, then δ + k is equal to:

Accepted Answer

(B) 3

Answer

(A) −3

Answer

(C) 6

Answer

(D) 9

Question 8

Let α and β be the roots of the equation $x^{2} + (2i - 1) = 0$. Then, the value of $|\alpha^{8} + \beta^{8}|$ is equal to :

Accepted Answer

(A) 50

Answer

(B) 250

Answer

(C) 1250

Answer

(D) 1500

Question 9

Let $\Delta \in \{\wedge, \vee, \Rightarrow, \Leftrightarrow\}$ be such that $(p \wedge q)\Delta((p \vee q) \Rightarrow q)$ is a tautology. Then Δ is equal to :

Accepted Answer

(C) $\Rightarrow$

Answer

(A) $\wedge$

Answer

(B) $\vee$

Answer

(D) $\Leftrightarrow$

Question 10

Let $A = [a_{ij}]$ be a square matrix of order 3 such that $a_{ij} = 2^{\,j-i}$, for all i, j = 1, 2, 3. Then, the matrix $A^{2} + A^{3} + \ldots + A^{10}$ is equal to :

Accepted Answer

(A) $\left(\frac{3^{10} - 3}{2}\right)A$

Answer

(B) $\left(\frac{3^{10} - 1}{2}\right)A$

Answer

(C) $\left(\frac{3^{10} + 1}{2}\right)A$

Answer

(D) $\left(\frac{3^{10} + 3}{2}\right)A$

Question 11

Let a set $A = A_{1} \cup A_{2} \cup \ldots \cup A_{k}$, where $A_{i} \cap A_{j} = \phi$ for $i 
e j$ $1 \le i, j \le k$. Define the relation R from A to A by $R = \{(x, y) : y \in A_{i}$ if and only if $x \in A_{i}, 1 \le i \le k\}$. Then, R is :

Accepted Answer

(D) an equivalence relation

Answer

(A) reflexive, symmetric but not transitive

Answer

(B) reflexive, transitive but not symmetric

Answer

(C) reflexive but not symmetric and transitive

Question 12

Let $\{a_{n}\}_{n=0}^{\infty}$ be a sequence such that $a_{0} = a_{1} = 0$ and $a_{n+2} = 2a_{n+1} - a_{n} + 1$ for all $n \ge 0$. Then, $\sum_{n=2}^{\infty}\frac{a_{n}}{7^{n}}$ is equal to

Accepted Answer

(B) $\frac{7}{216}$

Answer

(A) $\frac{6}{343}$

Answer

(C) $\frac{8}{343}$

Answer

(D) $\frac{49}{216}$

Question 13

The distance between the two points A and $A'$ which lie on $y = 2$ such that both the line segments AB and $A'B$ (where B is the point (2, 3)) subtend angle $\frac{\pi}{4}$ at the origin, is equal to :

Accepted Answer

(C) $\frac{52}{5}$

Answer

(A) 10

Answer

(B) $\frac{48}{5}$

Answer

(D) 3

Question 14

A wire of length 22 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into an equilateral triangle. Then, the length of the side of the equilateral triangle, so that the combined area of the square and the equilateral triangle is minimum, is :

Accepted Answer

(B) $\frac{66}{9 + 4\sqrt{3}}$

Answer

(A) $\frac{22}{9 + 4\sqrt{3}}$

Answer

(C) $\frac{22}{4 + 9\sqrt{3}}$

Answer

(D) $\frac{66}{4 + 9\sqrt{3}}$

Question 15

The domain of the function $\cos^{-1}\left(\frac{2\sin^{-1}\left(\frac{1}{4x^{2} - 1}\right)}{\pi}\right)$ is :

Accepted Answer

(D) $\left(-\infty, \frac{-1}{\sqrt{2}}\right] \cup \left[\frac{1}{\sqrt{2}}, \infty\right) \cup \{0\}$

Answer

(A) $R - \left\{-\frac{1}{2}, \frac{1}{2}\right\}$

Answer

(B) $(-\infty, -1] \cup [1, \infty) \cup \{0\}$

Answer

(C) $\left(-\infty, \frac{-1}{2}\right) \cup \left(\frac{1}{2}, \infty\right) \cup \{0\}$

Question 16

If the constant term in the expansion of $\left(3x^3 - 2x^2 + \frac{5}{x^5}\right)^{10}$ is $2^k \cdot l$, where $l$ is an odd integer, then the value of k is equal to :

Accepted Answer

(D) 9

Answer

(A) 6

Answer

(B) 7

Answer

(C) 8

Question 17

$\int_{0}^{5} \cos\left(\pi\left(x - \left[\frac{x}{2}\right]\right)\right) dx$,
Where [t] denotes greatest integer less than or equal to t, is equal to :

Accepted Answer

(D) 0

Answer

(A) −3

Answer

(B) −2

Answer

(C) 2

Question 18

Let PQ be  a focal chord of the parabola $y^2 = 4x$ such that it subtends an angle of $\frac{\pi}{2}$ at the point (3, 0). Let the line segment PQ be also a focal chord of the ellipse E: $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1, a^2 > b^2$. If e is the eccentricity of the ellipse E, then the value of $\frac{1}{e^2}$ is equal to :

Accepted Answer

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

Answer

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

Answer

(C) $1 + 2\sqrt{3}$

Answer

(D) $4 + 5\sqrt{3}$

Question 19

Let the tangent to the circle $C_1 : x^2 + y^2 = 2$ at the point $M(-1, 1)$ intersect the circle $C_2 : (x - 3)^2 + (y - 2)^2 = 5$, at two distinct points A and B. If the tangents to $C_2$ at the points A and B intersect at N, then the area of the triangle ANB is equal to :

Accepted Answer

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

Answer

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

Answer

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

Answer

(D) $\frac{5}{3}$

Question 20

Let the mean and the variance of 5 observations $x_1, x_2, x_3, x_4, x_5$ be $\frac{24}{5}$ and $\frac{194}{25}$ respectively.
If the mean and variance of the first 4 observation are $\frac{7}{2}$ and $a$ respectively, then $(4a + x_5)$ is equal to:

Accepted Answer

(B) 15

Answer

(A) 13

Answer

(C) 17

Answer

(D) 18

Question 21

Let $S = \{z \in C : |z - 2| \leq 1, z(1 + i) + \bar{z}(1 - i) \leq 2\}$. Let $|z - 4i|$ attains minimum and maximum values, respectively, at $z_1 \in S$ and $z_2 \in S$. If $5(|z_1|^2 + |z_2|^2) = \alpha + \beta\sqrt{5}$, where α and β are integers, then the value of α + β is equal to _____.

Accepted Answer

26

Question 22

Let y = y(x) be the solution of the differential equation
$\frac{dy}{dx} + \frac{\sqrt{2}\,y}{2\cos^4 x - \cos 2x} = x e^{	an^{-1}(\sqrt{2}\cot 2x)}, 0 < x < \pi/2$ with $y\left(\frac{\pi}{4}ight) = \frac{\pi^2}{32}$.
If $y\left(\frac{\pi}{3}ight) = \frac{\pi^2}{18} e^{-	an^{-1}(\alpha)}$, then the value of $3\alpha^2$ is equal to _____.

Accepted Answer

2

Question 23

The number of elements in the set $S = \{	heta \in [-4\pi, 4\pi] : 3\cos^2 2	heta + 6\cos 2	heta - 10\cos^2	heta + 5 = 0\}$ is ________.

Accepted Answer

32

Question 24

The number of solutions of the equation $2	heta - \cos^2	heta + \sqrt{2} = 0$ is R is equal to ______.

Accepted Answer

1

Question 25

$50	an\left(3	an^{-1}\left(\frac{1}{2}ight) + 2\cos^{-1}\left(\frac{1}{\sqrt{5}}ight)ight) + 4\sqrt{2}	an\left(\frac{1}{2}	an^{-1}(2\sqrt{2})ight)$ is equal to _____.

Accepted Answer

29

Question 26

Let c, k ∈ R. If $f(x) = (c + 1)x^2 + (1 - c^2)x + 2k$ and $f(x + y) = f(x) + f(y) - xy$, for all x, y ∈ R, then the value of $|2(f(1) + f(2) + f(3) + \ldots + f(20))|$ is equal to ________.

Accepted Answer

3395

Question 27

Let $H : \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$, a > 0, b > 0, be a hyperbola such that the sum of lengths of the transverse and the conjugate axes is $4\left(2\sqrt{2} + \sqrt{14}\right)$. If the eccentricity H is $\frac{\sqrt{11}}{2}$, then value of $a^2 + b^2$ is equal to __________.

Accepted Answer

88

Question 28

Let $P_1 : \vec{r} \cdot (2\hat{i} + \hat{j} - 3\hat{k}) = 4$ be a plane. Let $P_2$ be another plane which passes through the points (2, -3, 2) (2, − 2, − 3) and (1, −4, 2). If the direction ratios of the line of intersection of $P_1$ and $P_2$ be 16, α, β, then the value of α + β is equal to _____.

Accepted Answer

28

Question 29

Let $b_1b_2b_3b_4$ be a 4-element permutation with $b_i \in \{1, 2, 3, \ldots, 100\}$ for $1 \leq i \leq 4$ and $b_i 
eq b_j$ for $i 
eq j$, such that either $b_1, b_2, b_3$ are consecutive integers or $b_2, b_3, b_4$ are consecutive integers.
Then the number of such permutations $b_1b_2b_3b_4$ is equal to ________.

Accepted Answer

18915

Question 30

Two balls A and B are placed at the top of 180 m tall tower. Ball A is released  from the top at t = 0 s. Ball B is thrown vertically down with an initial velocity 'u' at t = 2 s. After a certain time, both balls meet 100 m above the ground. Find the value of 'u' in $ms^{-1}$. [use g = 10 $ms^{-2}$] :

Accepted Answer

(D) 30

Answer

(A) 10

Answer

(B) 15

Answer

(C) 20

Question 31

A body of mass M at rest explodes into three pieces, in the ratio of masses 1 : 1 : 2. Two smaller pieces fly off perpendicular to each other with velocities of 30 $ms^{-1}$ and 40 $ms^{-1}$ respectively. The velocity of the third piece will be :

Accepted Answer

(B) 25 $ms^{-1}$

Answer

(A) 15 $ms^{-1}$

Answer

(C) 35 $ms^{-1}$

Answer

(D) 50 $ms^{-1}$

Question 32

The activity of a radioactive material is $2.56 	imes 10^{-3}$ Ci.  If the half life of the material is 5 days, after how many days the activity will become $2 	imes 10^{-5}$ Ci?

Accepted Answer

(B) 35 days

Answer

(A) 30 days

Answer

(C) 40 days

Answer

(D) 25 days

Question 33

A spherical shell of 1 kg mass and radius R is rolling with angular speed ω on horizontal plane (as shown in figure).  The magnitude of angular momentum of the shell about the origin O is $\frac{a}{3}R^2\omega$. The value of a will be :

Accepted Answer

(C) 5

Answer

(A) 2

Answer

(B) 3

Answer

(D) 4

Question 34

A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by 20.0°C will be :
(Given gas constant R = 8.3 $JK^{-1}$-$mol^{-1}$)

Accepted Answer

(C) 498 J

Answer

(A) 249 J

Answer

(B) 415 J

Answer

(D) 830 J

Question 35

A wire of length L is hanging from a fixed support. The length changes to $L_1$ and $L_2$ when masses 1kg and 2 kg are suspended respectively from its free end.  Then the value of  L is equal to :

Accepted Answer

(C) $2L_1 - L_2$

Answer

(A) $\sqrt{L_1L_2}$

Answer

(B) $\frac{L_1+L_2}{2}$

Answer

(D) $3L_1 - 2L_2$

Question 36

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : The photoelectric effect does not take place, if the energy of the incident radiation is less than the work function of  a metal.
Reason R : Kinetic energy of the photoelectrons is zero, if the energy of the incident radiation is equal to the work function of a metal.
In the light of the above statements, choose the 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 the correct explanation of A

Answer

(C) A is correct but R is not correct

Answer

(D) A is not correct but R is correct

Question 37

A particle of mass 500 gm is moving in a straight line with velocity $\upsilon = b\,x^{5/2}$. The work done by the net force during its displacement from x = 0 to x = 4 m is : (Take b = 0.25 $m^{-3/2}$ $s^{-1}$).

Accepted Answer

(D) 16 J

Answer

(A) 2 J

Answer

(B) 4 J

Answer

(C) 8 J

Question 38

A charged particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charged particle increases to 4 times its initial value. What will be the ratio of new radius to the original radius of circular path of the charged particle :

Accepted Answer

(C) 2 : 1

Answer

(A) 1 : 1

Answer

(B) 1 : 2

Answer

(D) 1 : 4

Question 39

For a series LCR circuit, I vs ω curve is shown :
(a) To the left of $\omega_r$, the circuit is mainly capacitive.
(b) To the left of $\omega_r$, the circuit is mainly inductive.
(c) At $\omega_r$, impedance of the circuit is equal to the resistance of the circuit.
(d) At $\omega_r$, impedance of the circuit is 0.
Choose the most appropriate answer from the options given below :

Accepted Answer

(C) (a) and (c) only

Answer

(A) (a) and (d) only

Answer

(B) (b) and (d) only

Answer

(D) (b) and (c) only

Question 40

A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1 $kgs^{-1}$ and at a speed of 10 $ms^{-1}$. Then, the initial acceleration of the block, in $ms^{-2}$, will be :

Accepted Answer

(C) 5

Answer

(A) 3

Answer

(B) 6

Answer

(D) 4

Question 41

In Vander Waals equation $\left[P+\frac{a}{V^2}\right][V-b]=RT$; P is pressure, V is volume, R is universal gas constant and T is temperature. The ratio of constants $\frac{a}{b}$  is dimensionally equal to :

Accepted Answer

(C) PV

Answer

(A) $\frac{P}{V}$

Answer

(B) $\frac{V}{P}$

Answer

(D) $PV^3$

Question 42

Two vectors $\vec{A}$ and $\vec{B}$ have equal magnitudes. If magnitude of $\vec{A}+\vec{B}$ is equal to two times the magnitude of $\vec{A}-\vec{B}$, then the angle between $\vec{A}$ and $\vec{B}$ will be :

Accepted Answer

(C) $\cos^{-1}\left(\frac{3}{5}\right)$

Answer

(A) $\sin^{-1}\left(\frac{3}{5}\right)$

Answer

(B) $\sin^{-1}\left(\frac{1}{3}\right)$

Answer

(D) $\cos^{-1}\left(\frac{1}{3}\right)$

Question 43

The escape velocity of a body on a planet 'A' is 12 $kms^{-1}$. The escape velocity of the body on another planet 'B', whose density is four times and radius is half of the planet 'A', is :

Accepted Answer

(A) 12 $kms^{-1}$

Answer

(B) 24 $kms^{-1}$

Answer

(C) 36 $kms^{-1}$

Answer

(D) 6 $kms^{-1}$

Question 44

At a certain place the angle of dip is 30° and the horizontal component of earth's magnetic field is 0.5 G. The earth's total magnetic field (in G), at that certain place, is :

Accepted Answer

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

Answer

(B) $\frac{1}{2}$

Answer

(C) $\sqrt{3}$

Answer

(D) 1

Question 45

A longitudinal wave is represented by $x = 10 \sin 2\pi\left(nt - \frac{x}{\lambda}\right)$ cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to :

Accepted Answer

(B) $5\pi$

Answer

(A) $2\pi$

Answer

(C) $\pi$

Answer

(D) $\frac{5\pi}{2}$

Question 46

A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged. The dielectric slab is replaced by another slab of dielectric constant 15. Then the energy of capacitor will :

Accepted Answer

(A) increase by 50%

Answer

(B) decrease by 15%

Answer

(C) increase by 25%

Answer

(D) increase by 33%

Question 47

A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength $1 	imes 10^5$ NC$^{-1}$. If the charge on the particle is 40 μC and the initial velocity is 200 ms$^{-1}$, how much distance it will travel before coming to the rest momentarily :

Accepted Answer

(D) 0.5 m

Answer

(A) 1 m

Answer

(B) 5 m

Answer

(C) 10 m

Question 48

Using Young's double slit experiment, a monochromatic light of wavelength 5000 Å produces fringes of fringe width 0.5 mm. If another monochromatic light of wavelength 6000Å is used and the separation between the slits is doubled, then the new fringe width will be :

Accepted Answer

(D) 0.3 mm

Answer

(A) 0.5 mm

Answer

(B) 1.0 mm

Answer

(C) 0.6 mm

Question 49

Only 2% of the optical source frequency is the available channel bandwidth for an optical communicating system operating at 1000 nm. If an audio signal requires a bandwidth of 8 kHz, how many channels can be accommodated for transmission :

Accepted Answer

(B) $75 	imes 10^7$

Answer

(A) $375 	imes 10^7$

Answer

(C) $375 	imes 10^8$

Answer

(D) $75 	imes 10^9$

Question 50

Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the same source; the time required to produce same amount of heat by the combination of coils, will be__________min.

Accepted Answer

15

Question 51

The intensity of the light from a bulb incident on a surface is 0.22 W/m$^2$. The amplitude of the magnetic field in this light-wave is_______$	imes 10^{-9}$ T. (Given : Permittivity of vacuum $\in_0 = 8.85 	imes 10^{-12} \mathrm{C}^2\mathrm{N}^{-1}\mathrm{m}^{-2}$, speed of light in vacuum c = $3 	imes 10^8$ ms$^{-1}$)

Accepted Answer

43

Question 52

As per the given figure, two plates A and B of thermal conductivity K and 2 K are joined together to form a compound plate. The thickness of plates are 4.0 cm and 2.5 cm respectively and the area of cross-section is 120 cm$^2$ for each plate. The equivalent thermal conductivity of the compound plate is $\left(1+\frac{5}{\alpha}\right)$ K, then the value of α will be __________.

Accepted Answer

21

Question 53

A body is performing simple harmonic with an amplitude of 10 cm. The velocity of the body was tripled by air Jet when it is at 5 cm from its mean position. The new amplitude of vibration is $\sqrt{x}$ cm. The value of x is___________.

Accepted Answer

700

Question 54

The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is 31.4 cm. The diameter of wire is measured as 2.4 cm. The resistivity of the given wire is measured as $x 	imes 10^{-3}$ Ω cm. The value of x is ___________. [Take π = 3.14]

Accepted Answer

144

Question 55

300 cal. of heat is given to a heat engine and it rejects 225 cal. of heat. If source temperature is 227°C, then the temperature of sink will be __ $^{\circ}$C.

Accepted Answer

102

Question 56

$\sqrt{d_1}$ and $\sqrt{d_2}$ are the impact parameters corresponding to scattering angles 60° and 90° respectively, when an α particle is approaching a gold nucleus. For $d_1 = x\, d_2$, the value of x will be________.

Accepted Answer

3

Question 57

A transistor is used in an amplifier circuit in common emitter mode. If the base current changes by 100 μA, it brings a change of 10 mA in collector current. If the load resistance is 2 kΩ and input resistance is 1 kΩ, the value of power gain is $x 	imes 10^4$. The value of x is ________.

Accepted Answer

2

Question 58

A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30 cm and refractive index 1.5. The distance from the centre of the globe at which the beam of light can converge is _________ mm.

Accepted Answer

225

Question 59

For the network shown below, the value $V_B - V_A$ is _________V.

Accepted Answer

10

Question 60

Production of iron in blast furnace follows the following equation
$Fe_3O_4(s) + 4CO(g) \rightarrow 3Fe(l) + 4CO_2(g)$
when 4.640 kg of $Fe_3O_4$ and 2.520 kg of CO are allowed to react then the amount of iron (in g) produced is :
[Given : Molar Atomic mass (g $mol^{-1}$): Fe = 56
Molar Atomic mass (g $mol^{-1}$) : O = 16
Molar Atomic mass (g $mol^{-1}$): = C = 12

Accepted Answer

(C) 3360

Answer

(A) 1400

Answer

(B) 2200

Answer

(D) 4200

Question 61

Which of the following statements are correct ?
(A) The electronic configuration of Cr is [Ar] $3d^5 4s^1$.
(B) The magnetic quantum number may have a negative value.
(C) In the ground state of an atom, the orbitals are filled in order of their increasing energies.
(D) The total number of nodes are given by n – 2 .
Choose the most appropriate answer from the options given below :

Accepted Answer

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

Answer

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

Answer

(B) (A) and (B) only

Answer

(C) (A) and (C) only

Question 62

Arrange the following in the decreasing order of their covalent character :
(A) LiCl
(B) NaCl
(C) KCl
(D) CsCl
Question: Choose the most appropriate answer from the options given below :

Accepted Answer

(C) (A) > (B) > (C) > (D)

Answer

(A) (A) > (C) > (B) > (D)

Answer

(B) (B) > (A) > (C) > (D)

Answer

(D) (A) > (B) > (D) > (C)

Question 63

The solubility of AgCl will be maximum in which of the following ?

Accepted Answer

(D) Deionised water

Answer

(A) 0.01 M KCl

Answer

(B) 0.01 M HCl

Answer

(C) 0.01 M $AgNO_3$

Question 64

Which of the following is a correct statement ?

Accepted Answer

(D) Presence of equal and similar charges on colloidal particles provides stability to the colloidal solution.

Answer

(A) Brownian motion destabilises sols.

Answer

(B) Any amount of dispersed phase can be added to emulsion without destabilising it.

Answer

(C) Mixing two oppositely charged sols in equal amount neutralises charges and stabilises colloids.

List-I (Metal)	List-II (Emitted light wavelength (nm))
A.Li	I.670.8
B.Na	II.589.2
C.Rb	III.780.0
D.Cs	IV.455.5

List-I (Metal)	List-II Application
A.Cs	I.High temperature thermometer
B.Ga	II.Water repellent sprays
C.B	III.Photoelectric cells
D.Si	IV.Bullet proof vest

JEE Main 29 June 2022 Shift 1 Question Paper with Answers

Physics — JEE Main 29 June 2022 Shift 1

Chemistry — JEE Main 29 June 2022 Shift 1

Mathematics — JEE Main 29 June 2022 Shift 1

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