JEE Main 29 June 2022 Shift 2 Question Paper

Question 1

Let $\alpha$ be a root of the equation $1 + x^2 + x^4 = 0$. Then the value of $\alpha^{1011} + \alpha^{2022} - \alpha^{3033}$ is equal to:

Accepted Answer

(A) $1$

Answer

(B) $\alpha$

Answer

(C) $1 + \alpha$

Answer

(D) $1 + 2\alpha$

Question 2

Let arg (z) represent the principal argument of the complex number z. The, $\left| z \right| = 3$ and $\arg (z - 1) - \arg (z + 1) = \frac{\pi}{4}$ intersect:

Accepted Answer

(C) Nowhere

Answer

(A) Exactly at one point

Answer

(B) Exactly at two points

Answer

(D) At infinitely many points.

Question 3

Let $A = \begin{pmatrix} 2 & -1 \ 0 & 2 \end{pmatrix}$. If $B = I - {}^{5}C_{1}\,(\mathrm{adj}A) + {}^{5}C_{2}\,(\mathrm{adj}A)^{2} - ... - {}^{5}C_{5}\,(\mathrm{adj}A)^{5}$, then the sum of all elements of the matrix B is:

Accepted Answer

(C) $-7$

Answer

(A) $-5$

Answer

(B) $-6$

Answer

(D) $-8$

Question 4

The sum of the infinite series $1 + \frac{5}{6} + \frac{12}{6^{2}} + \frac{22}{6^{3}} + \frac{35}{6^{4}} + \frac{51}{6^{5}} + \frac{70}{6^{6}} + ....$ is equal to:

Accepted Answer

(C) $\frac{288}{125}$

Answer

(A) $\frac{425}{216}$

Answer

(B) $\frac{429}{216}$

Answer

(D) $\frac{280}{125}$

Question 5

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

Accepted Answer

(D) $\pi^{2}$

Answer

(A) $\frac{\pi^{2}}{6}$

Answer

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

Answer

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

Question 6

Let $f : \mathbb{R} 	o \mathbb{R}$ be a function defined by $f(x) = (x - 3)^{n_{1}}\,(x - 5)^{n_{2}}$, $n_{1}, n_{2} \in N$. The, which of the following is NOT true?

Accepted Answer

(C) For $n_{1} = 3$, $n_{2} = 5$, there exists $\alpha \in (3,5)$ where $f$ attains local maxima.

Answer

(A) For $n_{1} = 3$, $n_{2} = 4$, there exists $\alpha \in (3,5)$ where $f$ attains local maxima.

Answer

(B) For $n_{1} = 4$, $n_{2} = 3$, there exists $\alpha \in (3,5)$ where $f$ attains local manima.

Answer

(D) For $n_{1} = 4$, $n_{2} = 6$, there exists $\alpha \in (3,5)$ where $f$ attains local maxima.

Question 7

Let $f$ be a real valued continuous function on $[0,1]$ and $f(x) = x + \int_{0}^{1}(x - t)f(t)dt$. Then which of the following points (x,y) lies on the curve $y = f(x)$?

Accepted Answer

(D) $(6, 8)$

Answer

(A) $(2, 4)$

Answer

(B) $(1, 2)$

Answer

(C) $(4, 17)$

Question 8

If $y = y(x)$ is the solution of the differential equation $\left(1 + e^{2x}\right)\frac{dy}{dx} + 2\left(1 + y^{2}\right)e^{x} = 0$ and $y(0) = 0$, then $6\left(y'(0) + \left(y\left(\log_{e}\sqrt{3}\right)\right)^{2}\right)$ is equal to:

Accepted Answer

(C) $-4$

Answer

(A) $2$

Answer

(B) $-2$

Answer

(D) $-1$

Question 9

Let $P : y^{2} = 4ax$, $a > 0$ be a parabola with focus S.Let the tangents to the parabola P make an angle of $\frac{\pi}{4}$ with the line $y = 3x + 5$ touch the parabola P at A and B. Then the value of $a$ for which A,B and S are collinear is:

Accepted Answer

(D) any $a > 0$

Answer

(A) $8$ only

Answer

(B) $2$ only

Answer

(C) $\frac{1}{4}$ only

Question 10

Let $\frac{x - 2}{3} = \frac{y + 1}{-2} = \frac{z + 3}{-1}$ lie on the plane $px - qy + z = 5$, for some $p, q \in \mathbb{R}$. The shortest distance of the plane from the origin is:

Accepted Answer

(B) $\sqrt{\frac{5}{142}}$

Answer

(A) $\sqrt{\frac{3}{109}}$

Answer

(C) $\sqrt{\frac{5}{71}}$

Answer

(D) $\sqrt{\frac{1}{142}}$

Question 11

The distance of the origin from the centroid of the triangle whose two sides have the equations $x - 2y + 1 = 0$ and $2x - y - 1 = 0$ and whose orthocenter is $\left(\frac{7}{3}, \frac{7}{3}\right)$ is:

Accepted Answer

(C) $2\sqrt{2}$

Answer

(A) $\sqrt{2}$

Answer

(B) $2$

Answer

(D) $4$

Question 12

Let Q be the mirror image of the point P(1, 2, 1) with respect to the plane $x + 2y + 2z = 16$. Let T be a plane passing through the point Q and contains the line $\vec{r} = -\hat{k} + \lambda\left(\hat{i} + \hat{j} + 2\hat{k}\right), \lambda \in \mathbb{R}$. Then, which of the following points lies on T?

Accepted Answer

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

Answer

(A) $(2, 1, 0)$

Answer

(C) $(1, 2, 2)$

Answer

(D) $(1, 3, 2)$

Question 13

Let A, B, C be three points whose position vectors respectively are:
$\vec{a} = \hat{i} + 4\hat{j} + 3\hat{k}$
$\vec{b} = 2\hat{i} + \alpha\hat{j} + 4\hat{k}, \alpha \in \mathbb{R}$
$\vec{c} = 3\hat{i} - 2\hat{j} + 5\hat{k}$
If $\alpha$ is the smallest positive integer for which $\vec{a}, \vec{b}, \vec{c}$ are non-collinear, then the length of the median, in $	riangle ABC$, through A is:

Accepted Answer

(A) $\frac{\sqrt{82}}{2}$

Answer

(B) $\frac{\sqrt{62}}{2}$

Answer

(C) $\frac{\sqrt{69}}{2}$

Answer

(D) $\frac{\sqrt{66}}{2}$

Question 14

The probability that a relation R from $\{x,y\}$ to $\{x,y\}$ is both symmetric and transitive, is equal to:

Accepted Answer

(A) $\frac{5}{16}$

Answer

(B) $\frac{9}{16}$

Answer

(C) $\frac{11}{16}$

Answer

(D) $\frac{13}{16}$

Question 15

The number of values of $a \in \mathbb{N}$ such that the variance of 3, 7, 12 $a$, $43 - a$ is a natural number is:

Accepted Answer

(A) 0

Answer

(B) 2

Answer

(C) 5

Answer

(D) infinite

Question 16

From the base of a pole of height 20 meter, the angle of elevation of the top of a tower is $60^\circ$. The pole subtends an angle $30^\circ$ at the top of the tower. Then the height of the tower is:

Accepted Answer

(D) 30

Answer

(A) $15\sqrt{3}$

Answer

(B) $20\sqrt{3}$

Answer

(C) $20 + 10\sqrt{3}$

Question 17

Negation of the Boolean statement $(p \vee q) \Rightarrow \left((\sim r) \vee p\right)$ is equivalent to:

Accepted Answer

(C) $(\sim p) \wedge q \wedge r$

Answer

(A) $p \wedge (\sim q) \wedge r$

Answer

(B) $(\sim p) \wedge (\sim q) \wedge r$

Answer

(D) $p \wedge q \wedge (\sim r)$

Question 18

Let $n \geq 5$ be an integer. If $9^n - 8n - 1 = 64\alpha$ and $6^n - 5n - 1 = 25\beta$, then $\alpha - \beta$ is equal to:

Accepted Answer

(C) ${}^nC_3 (8-5) + {}^nC_4 (8^2 - 5^2) + ... + {}^nC_n (8^{n-2} - 5^{n-2})$

Answer

(A) $1 + {}^nC_2 (8-5) + {}^nC_3 (8^2 - 5^2) + ... + {}^nC_n (8^{n-1} - 5^{n-1})$

Answer

(B) $1 + {}^nC_3 (8-5) + {}^nC_4 (8^2 - 5^2) + ... + {}^nC_n (8^{n-2} - 5^{n-2})$

Answer

(D) ${}^nC_4 (8-5) + {}^nC_5 (8^2 - 5^2) + ... + {}^nC_n (8^{n-3} - 5^{n-3})$

Question 19

Let $y = y(x)$, $x > 1$, be the solution of the differential equation $(x - 1)\frac{dy}{dx} + 2xy = \frac{1}{x - 1}$, with $y(2) = \frac{1 + e^4}{2e^4}$. If $y(3) = \frac{e^\alpha + 1}{\beta e^\alpha}$. then the value of $\alpha + \beta$ is equal to______.

Accepted Answer

14

Question 20

Let 3, 6, 9, 12,... upto 78 terms and 5, 9, 13, 17,... upto 59 terms be two series. Then, the sum of the terms common to both the series is equal to____.

Accepted Answer

2223

Question 21

The number of solutions of the equation $\sin x = \cos^2 x$ in the interval $(0,10)$ is____.

Accepted Answer

4

Question 22

For real numbers $a$, b ($a > b > 0$), let $Area\left\{(x,y) : x^2 + y^2 \leq a^2 	ext{and} \frac{x^2}{a^2} + \frac{y^2}{b^2} \geq 1ight\} = 30\pi$ and $Area\left\{(x,y) : x^2 + y^2 \geq b^2 	ext{and} \frac{x^2}{a^2} + \frac{y^2}{b^2} \leq 1ight\} = 18\pi$ Then the value of $(a - b)^2$ is equal to____.

Accepted Answer

12

Question 23

Let $f$ and g be twice differentiable even functions on $(-2, 2)$ such that $f\left(\frac{1}{4}\right) = 0, f\left(\frac{1}{2}\right) = 0, f(1) = 1$ and $g\left(\frac{3}{4}\right) = 0, g(1) = 2$ Then, the minimum number of solutions of $f(x)\ g''(x) + f'(x)g'(x) = 0$ in $(-2,2)$ is equal to____.

Accepted Answer

4

Question 24

Let the coefficients of $x^{-1}$ and $x^{-3}$ in the expansion of $\left(2x^{\frac{1}{5}} - \frac{1}{x^{\frac{1}{5}}}\right)^{15}$, $x > 0$, be $m$ and $n$ respectively. If r is a positive integer such $mn^2 = {}^{15}C_r . 2^r$, then the value of r is equal to____.

Accepted Answer

5

Question 25

The total number of four digit numbers such that each of the first three digits is divisible by the last digit, is equal to______.

Accepted Answer

1086

Question 26

Let $M = \begin{bmatrix} 0 & -\alpha \ \alpha & 0 \end{bmatrix}$, where $\alpha$ is a non-zero real number an $N = \sum_{k=1}^{49} M^{2k}$. If $(I - M^2)N = -2I$, then the positive integral value of $\alpha$ is ____.

Accepted Answer

1

Question 27

Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If $f(g(x)) = 8x^2 - 2x$, and $g(f(x)) = 4x^2 + 6x + 1$, then the value of $f(2) + g(2)$ is______.

Accepted Answer

18

Question 28

A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10m in t s,. the distance travelled by the toy in the next t s will be :

Accepted Answer

(C) 30m

Answer

(A) 10m

Answer

(B) 20m

Answer

(D) 40m

Question 29

At what temperature a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm? Both the diameters have been measured at room temperature (27ºC). (Given: coefficient of linear thermal expansion of gold $\alpha_\mathrm{L} = 1.4 	imes 10^{-5}\ \mathrm{K}^{-1}$)

Accepted Answer

(D) 152.7ºC

Answer

(A) 125.7ºC

Answer

(B) 91.7ºC

Answer

(C) 425.7º

Question 30

Two point charges Q each are placed at a distance d apart. A third point charge q is placed at a distance x from mid-point on the perpendicular bisector. The value of x at which charge q will experience the maximum Coulomb's force is :

Accepted Answer

(D) $x = \frac{d}{2\sqrt{2}}$

Answer

(A) $x = d$

Answer

(B) $x = \frac{d}{2}$

Answer

(C) $x = \frac{d}{\sqrt{2}}$

Question 31

The speed of light in media 'A' and 'B' are $2.0 	imes 10^{10}$ cm/s and $1.5 	imes 10^{10}$ chm/s respectively. A ray of light enters from the medium B to A at an incident angle 'θ'. If the ray suffers total internal reflection, then

Accepted Answer

(D) $	heta > \sin^{-1}\left(\frac{3}{4}ight)$

Answer

(A) $	heta = \sin^{-1}\left(\frac{3}{4}ight)$

Answer

(B) $	heta > \sin^{-1}\left(\frac{2}{3}ight)$

Answer

(C) $	heta < \sin^{-1}\left(\frac{3}{4}ight)$

Question 32

In the following nuclear rection,
$D \xrightarrow{\ \alpha\ } D_1 \xrightarrow{\ \beta^-\ } D_2 \xrightarrow{\ \alpha\ } D_3 \xrightarrow{\ \gamma\ } D_4$
Mass number of D is 182 and atomic number is 74. Mass number and atomic number of $D_4$ respectively will be____.

Accepted Answer

(A) 174 and 71

Answer

(B) 174 and 69

Answer

(C) 172 and 69

Answer

(D) 172 and 71

Question 33

The electric field at the point associated with a light wave is given by
$E = 200\left[\sin\left(6 	imes 10^{15}ight)t + \sin\left(9 	imes 10^{15}ight)tight]\ \mathrm{Vm}^{-1}$
Given : $h = 4.14 	imes 10^{-15}$ eVs
If this light falls on a metal surface having a work function of 2.50 eV, the maximum kinetic energy of the photoelectrons will be :

Accepted Answer

(D) 3.42 eV

Answer

(A) 1.90 eV

Answer

(B) 3.27 eV

Answer

(C) 3.60 eV

Question 34

A capacitor is discharging through a resistor R. Consider in time $t_1$, the energy stored in the capacitor reduces to half of its initial value and in time $t_2$, the charge stored reduces to one eighth of its initial value. The ratio $t_1/t_2$ will be :

Accepted Answer

(D) 1/6

Answer

(A) 1/2

Answer

(B) 1/3

Answer

(C) 1/4

Question 35

Starting with the same initial conditions, an ideal gas expands from volume $V_1$ to $V_2$ in three different ways. The work done by the gas is $W_1$ if the process is purely isothermal. $W_2$. if the process is purely adiabatic and $W_3$ if the process is purely isobaric. Then, choose the coned option

Accepted Answer

(D) $W_2 < W_1 < W_3$

Answer

(A) $W_1 < W_2 < W_3$

Answer

(B) $W_2 < W_3 < W_1$

Answer

(C) $W_3 < W_1 < W_2$

Question 36

Two long current carrying conductors are placed parallel to each other at a distance of 8 cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 300 μT. The equal current flowing in the two conductors is :

Accepted Answer

(B) 30A in the opposite direction.

Answer

(A) 30A in the same direction.

Answer

(C) 60A in the opposite direction.

Answer

(D) 300A in the opposite direction.

Question 37

The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be :

Accepted Answer

(B) 36 hours

Answer

(A) 40 hours

Answer

(C) 30 hours

Answer

(D) 25 hours

Question 38

The TV transmission tower at a particular station has a height of 125 m. For dubling the coverage of its range, the height of the tower should be increased by :

Accepted Answer

(C) 375

Answer

(A) 125 m

Answer

(B) 250 m

Answer

(D) 500 m

Question 39

The motion of a simple pendulum excuting S.H.M. is represented by following equation.
$Y = A \sin(\pi t + \phi)$, where time is measured in second.
The length of pendulum is :

Accepted Answer

(C) 99.4 cm

Answer

(A) 97.23 cm

Answer

(B) 25.3 cm

Answer

(D) 406.1 cm

Question 40

A vessel contains 16g of hydrogen and 128 g of oxygen at standard temperature and pressure. The volume of the vessel in $\mathrm{cm}^3$ is :

Accepted Answer

(C) $27 	imes 10^{4}$

Answer

(A) $72 	imes 10^{5}$

Answer

(B) $32 	imes 10^{5}$

Answer

(D) $54 	imes 10^{4}$

Question 41

Given below are two statements :
Statement I: The electric force changes the speed of the charged particle and hence changes its kinetic energy: whereas the magnetic force does not change the kinetic energy of the charged particle.
Statement II: The electric force accelerates the positively charged particle perpendicular to the direction of electric field. The magnetic force accelerates the moving charged particle along the direction of magnetic field. In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

(C) Statement I is correct but Statement II is incorrect.

Answer

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

Answer

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

Answer

(D) Statement I is incorrect but Statement II is correct.

Question 42

A block of mass 40 kg slides over a surface, when a mass of 4 kg is suspended through an inextensible massless string passing over frictionless pulley as shown below. The coefficient of kinetic friction between the surface and block is 0.02. The acceleration of block is. (Given $g = 10\ \mathrm{ms}^{-2}$.)

Accepted Answer

(D) $8/11\ \mathrm{ms}^{-2}$

Answer

(A) $1\ \mathrm{ms}^{-2}$

Answer

(B) $1/5\ \mathrm{ms}^{-2}$

Answer

(C) $4/5\ \mathrm{ms}^{-2}$

Question 43

In the given figure, the block of mass m is dropped from the point 'A'. The expression for kinetic energy of block when it reaches point 'B' is :

Accepted Answer

(D) $mgy_0$

Answer

(A) $\frac{1}{2}mg\,y_0^2$

Answer

(B) $\frac{1}{2}mg\,y^2$

Answer

(C) $mg(y - y_0)$

Question 44

A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of 'a' will be :

Accepted Answer

(C) $\frac{3g}{4}$

Answer

(A) $\frac{g}{4}$

Answer

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

Answer

(D) $g$

Question 45

If the electric potential at any point (x, y, z)m in space is given by $V = 3x^2$ volt. The electric field at the point (1, 0, 3) m will be :

Accepted Answer

(D) 6 Vm$^{-1}$, directed along negative x-axis.

Answer

(A) 3 Vm$^{-1}$, directed along positive x-axis.

Answer

(B) 3 Vm$^{-1}$, directed along negative x-axis.

Answer

(C) 6 Vm$^{-1}$, directed along positive x-axis.

Question 46

The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of 2Ω. The value of internal resistance of each cell is :

Accepted Answer

(A) 2Ω

Answer

(B) 4Ω

Answer

(C) 6Ω

Answer

(D) 8Ω

Question 47

A person can throw a ball upto a maximum range of 100 m. How high above the ground he can throw the same ball?

Accepted Answer

(B) 50 m

Answer

(A) 25 m

Answer

(C) 100 m

Answer

(D) 200 m

Question 48

The vernier constant of Vernier callipers is 0.1 mm and it has zero error of (–0.05) cm. While measuring diameter of a sphere, the main scale reading is 1.7 cm and coinciding vernier division is 5. The corrected diameter will be______ $	imes 10^{-2}$ cm.

Accepted Answer

180

Question 49

A small spherical ball of radius 0.1 mm and density $10^4$ kg m$^{-3}$ falls freely under gravity through a a distance h before entering a tank of water. If after entering the water the velocity of ball does not change and it continue to fall with same constant velocity inside water, then the value of h wil be______m.
(Given g = 10 ms$^{-2}$, viscosity of water = $1.0 	imes 10^{-5}$ N-sm$^{-2}$).

Accepted Answer

20

Question 50

In an experiment to determine the velocity of sound in air at room temperature using a resonance is observed when the air column has a length of 20.0 cm for a tuning fork of frequency 400 Hz is used. The velocity of the sound at room temperature is 336 ms$^{-1}$. The third resonance is observed when the air column has a length of _____cm.

Accepted Answer

104

Question 51

Two resistors are connected in series across a battery as shown in figure. If a voltmeter of resistance 2000 Ω is used to measure the potential difference across 500 Ω resister, the reading of the voltmeter will be____V.

Accepted Answer

8

Question 52

A potential barrier of 0.4 V exists across a p-n junction. An electron enters the junction from the n-side with a speed of $6.0 	imes 10^5$ ms$^{-1}$. The speed with which electron enters the p side will be $\frac{x}{3} 	imes 10^5$ ms$^{-1}$ the value of x is ________.
(Given mass of electron = $9 	imes 10^{-31}$ kg, charge on electron = $1.6 	imes 10^{-19}$C.)

Accepted Answer

14

Question 53

The displacement current of 4.425 μA is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of $10^6$ Vs$^{-1}$. The area of each plate of the capacitor is 40 cm$^2$. The distance between each plate of the capacitor is x $	imes 10^{-3}$m. The value of x is,
(Permittivity of free space, $E_0 = 8.85 	imes 10^{-12}$ C$^2$ N$^{-1}$ m$^{-2}$)

Accepted Answer

8

Question 54

The moment of inertia of a uniform thin rod about a perpendicular axis passing through one end is $I_1$. The same rod is bent into a ring and its moment of inertia about a diameter is $I_2$. If $\frac{I_1}{I_2}$ is $\frac{x\pi^2}{3}$, then the value  of x will be________.

Accepted Answer

8

Question 55

The half life of a radioactive substance is 5 years. After x years a given sample of the radioactive substance gest reduced to 6.25% of its initial value of x is ________.

Accepted Answer

20

Question 56

In a double slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the plane of slits. If the screen is moved by $5 	imes 10^{-2}$ m towards the slits, the change in fringe width is $3 	imes 10^{-3}$ cm. If the distance between the slits is 1 mm, then the wavelength of the light will be ______nm.

Accepted Answer

600

Question 57

An inductor of 0.5 mH, a capacitor of 200 μF and a resistor of 2 Ω are connected in series with a 220 V ac source. If the current is in phase with the emf, the frequency of ac source will be___$	imes 10^2$ Hz.

Accepted Answer

5

Question 58

Using the rules for significant figures, the correct answer for the expression $\frac{0.02858 	imes 0.112}{0.5702}$ will be:

Accepted Answer

(B) 0.00561

Answer

(A) 0.005613

Answer

(C) 0.0056

Answer

(D) 0.006

Question 59

Which of the following is the correct plot for the probability density $\psi^2$(r) as a function of distance 'r' of the electron form the nucleus for 2s orbital?

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 60

Consider the species CH$_4$, NH$_4^+$ and BH$_4^-$. Choose the correct option with respect to the there species:

Accepted Answer

(B) They are isoelectronic and all have tetrahedral structures

Answer

(A) They are isoelectronic and only two have tetrahedral structures

Answer

(C) Only two are isoelectronic and all have tetrahedral structures

Answer

(D) Only two are isoelectronic and only two have tetrahedral structures

Question 61

4.0 moles of argon and 5.0 moles of PCl$_5$ are introduced into an evacuated flask of 100 litre capacity at 610 K. The system is allowed to equilibrate. At equilibrium, the total pressure of mixture was found to be 6.0 atm. The K$_p$ for the reaction is [Given : R = 0.082L atm K$^{-1}$ mol$^{-1}$]

Accepted Answer

(A) 2.25

Answer

(B) 6.24

Answer

(C) 12.13

Answer

(D) 15.24

Question 62

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : The first ionization enthalpy for oxygen is lower than that of nitrogen.
Reason R : The four electrons in 2p orbitals of oxygen experience more electron-electron repulsion.
In the light of the above statements, choose the correct answer from the options given below.

Accepted Answer

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

Answer

(B) Both A and R are correct but R is NOT 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 63

Match List I with List II.
List I Ore
A. Siderite
B. Malachite
C. Sphalerite
D. Calamine
List II Composition
I. Fe CO$_3$
II. CuCO$_3$.Cu(OH)$_2$
III. ZnS
IV. ZnCO$_3$
Choose the correct answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 64

Given below are two statements .
Statement I : In CuSO$_4$.5H$_2$O, Cu-O bonds are present.
Statement II : In CuSO$_4$.5H$_2$O, ligands coordinating with Cu(II) ion are O-and S-based ligands.
In the light of the above statements, choose the correct answer from the options given below

Accepted Answer

(C) Statement I is correct but Statement II is incorrect

Answer

(A) Both Statement I and Statement II are correct

Answer

(B) Both Statement I and Statement II are incorrect

Answer

(D) Statement I is incorrect but Statement II is correct

JEE Main 29 June 2022 Shift 2 Question Paper with Answers

Physics — JEE Main 29 June 2022 Shift 2

Chemistry — JEE Main 29 June 2022 Shift 2

Mathematics — JEE Main 29 June 2022 Shift 2

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