JEE Main 26 June 2022 Shift 1 Question Paper

Question 1

Let $f(x) = \frac{x-1}{x+1}$, $x \in R - \{0, -1, 1\}$. If $f^{n+1}(x) = f(f^{n}(x))$ for all $n \in N$, then $f^{6}(6) + f^{7}(7)$ is equal to :

Accepted Answer

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

Answer

(A) $\frac{7}{6}$

Answer

(C) $\frac{7}{12}$

Answer

(D) $-\frac{11}{12}$

Question 2

Let $A = \left\{ z \in C : \left| \frac{z+1}{z-1} \right| < 1 \right\}$ and $B = \left\{ z \in C : \arg\left( \frac{z-1}{z+1} \right) = \frac{2\pi}{3} \right\}$. Then $A \cap B$ is :

Accepted Answer

(B) a portion of a circle centred at $\left(0, -\frac{1}{\sqrt{3}}\right)$ that lies in the second quadrant only

Answer

(A) a portion of a circle centred at $\left(0, -\frac{1}{\sqrt{3}}\right)$ that lies in the second and third quadrants only

Answer

(C) an empty set

Answer

(D) a portion of a circle of radius $\frac{2}{\sqrt{3}}$ that lies in the third quadrant only

Question 3

Let A be a $3 	imes 3$ invertible matrix. If $|adj (24A)| = adj(3adj(2A))|$, then $|A|^{2}$ is equal to :

Accepted Answer

(C) $2^{6}$

Answer

(A) $6^{6}$

Answer

(B) $2^{12}$

Answer

(D) 1

Question 4

The ordered pair (a, b), for which the system of linear equations
$3x - 2y + z = b$
$5x - 8y + 9z = 3$
$2x + y + az = -1$
has no solution, is :

Accepted Answer

(C) $\left(-3, -\frac{1}{3}\right)$

Answer

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

Answer

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

Answer

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

Question 5

The remainder when $(2021)^{2023}$ is divided by 7 is :

Accepted Answer

(C) 5

Answer

(A) 1

Answer

(B) 2

Answer

(D) 6

Question 6

$\lim_{x 	o \frac{1}{\sqrt{2}}} \frac{\sin(\cos^{-1} x) - x}{1 - 	an(\cos^{-1} x)}$ is equal to :

Accepted Answer

(D) $-\frac{1}{\sqrt{2}}$

Answer

(A) $\sqrt{2}$

Answer

(B) $-\sqrt{2}$

Answer

(C) $\frac{1}{\sqrt{2}}$

Question 7

Let f, g : R $	o$ R be two real valued functions defined as $f(x) = \begin{cases} -|x+3| & , & x < 0 \ e^{x} & , & x \geq 0 \end{cases}$ and $g(x) = \begin{cases} x^{2} + k_{1}x & , & x < 0 \ 4x + k_{2} & , & x \geq 0 \end{cases}$, where $k_{1}$ and $k_{2}$ are real constants. If (gof) is differentiable at x = 0, then (gof) (-4) + (gof) (4) is equal to :

Accepted Answer

(D) $2(2e^{4} - 1)$

Answer

(A) $4(e^{4} + 1)$

Answer

(B) $2(2e^{4} + 1)$

Answer

(C) $4e^{4}$

Question 8

The sum of the absolute minimum and the absolute maximum values of the function $f(x) = |3x - x^{2} + 2| - x$ in the interval $[-1, 2]$ is :

Accepted Answer

(A) $\frac{\sqrt{17} + 3}{2}$

Answer

(B) $\frac{\sqrt{17} + 5}{2}$

Answer

(C) 5

Answer

(D) $\frac{9 - \sqrt{17}}{2}$

Question 9

Let S be the set of all the natural numbers, for which the line $\frac{x}{a} + \frac{y}{b} = 2$ is a tangent to the curve $\left(\frac{x}{a}ight)^{n} + \left(\frac{y}{b}ight)^{n} = 2$ at the point (a, b), $ab 
eq 0$. Then:

Accepted Answer

(D) $S = N$

Answer

(A) $S = \phi$

Answer

(B) $n(S) = 1$

Answer

(C) $S = \{2k : k \in N\}$

Question 10

Let R be the point (3, 7) and let P and Q be two points on the line x + y = 5 such that PQR is an equilateral triangle. Then the area of $\Delta$PQR is :

Accepted Answer

(D) $\frac{25}{2\sqrt{3}}$

Answer

(A) $\frac{25}{4\sqrt{3}}$

Answer

(B) $\frac{25\sqrt{3}}{2}$

Answer

(C) $\frac{25}{\sqrt{3}}$

Question 11

Let C be a circle passing through the points A(2, -1) and B(3, 4). The line segment AB is not a diameter of C. If r is the radius of C and its centre lies on the circle $(x - 5)^{2} + (y - 1)^{2} = \frac{13}{2}$, then $r^{2}$ is equal to :

Accepted Answer

(B) $\frac{65}{2}$

Answer

(A) 32

Answer

(C) $\frac{61}{2}$

Answer

(D) 30

Question 12

Let the normal at the point P on the parabola $y^{2} = 6x$ pass through the point (5, -8). If the tangent at P to the parabola intersects its directrix at the point Q, then the ordinate of the point Q is :

Accepted Answer

(B) $-\frac{9}{4}$

Answer

(A) -3

Answer

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

Answer

(D) -2

Question 13

If the two lines $l_{1} : \frac{x-2}{3} = \frac{y+1}{-2}$, $z = 2$ and $l_{2} : \frac{x-1}{1} = \frac{2y+3}{\alpha} = \frac{z+5}{2}$ perpendicular, then an angle between the lines $l_{2}$ and $l_{3} : \frac{1-x}{3} = \frac{2y-1}{-4} = \frac{z}{4}$ is :

Accepted Answer

(B) $\sec^{-1}\left(\frac{29}{4}\right)$

Answer

(A) $\cos^{-1}\left(\frac{29}{4}\right)$

Answer

(C) $\cos^{-1}\left(\frac{2}{29}\right)$

Answer

(D) $\cos^{-1}\left(\frac{2}{\sqrt{29}}\right)$

Question 14

Let the plane $2x + 3y + z + 20 = 0$ be rotated through a right angle about its line of intersection with the plane $x - 3y + 5z = 8$. If the mirror image of the point $\left(2, -\frac{1}{2}, 2\right)$ in the rotated plane is B(a, b, c), then :

Accepted Answer

(A) $\frac{a}{8} = \frac{b}{5} = \frac{c}{-4}$

Answer

(B) $\frac{a}{4} = \frac{b}{5} = \frac{c}{-2}$

Answer

(C) $\frac{a}{8} = \frac{b}{-5} = \frac{c}{4}$

Answer

(D) $\frac{a}{4} = \frac{b}{5} = \frac{c}{2}$

Question 15

If $\vec{a}\cdot\vec{b}=1$, $\vec{b}\cdot\vec{c}=2$ and $\vec{c}\cdot\vec{a}=3$, then the value of $\left[\vec{a}	imes\left(\vec{b}	imes\vec{c}ight),\ \vec{b}	imes\left(\vec{c}	imes\vec{a}ight),\ \vec{c}	imes\left(\vec{b}	imes\vec{a}ight)ight]$ is :

Accepted Answer

(A) $0$

Answer

(B) $-6\vec{a}\cdot\left(\vec{b}	imes\vec{c}ight)$

Answer

(C) $12\vec{c}\cdot\left(\vec{a}	imes\vec{b}ight)$

Answer

(D) $-12\vec{b}\cdot\left(\vec{c}	imes\vec{a}ight)$

Question 16

Let a biased coin be tossed 5 times. If the probability of getting 4 heads is equal to the probability of getting 5 heads, then the probability of getting atmost two heads is:

Accepted Answer

(D) $\frac{46}{6^{4}}$

Answer

(A) $\frac{275}{6^{5}}$

Answer

(B) $\frac{36}{5^{4}}$

Answer

(C) $\frac{181}{5^{5}}$

Question 17

The mean of the numbers a, b, 8, 5, 10 is 6 and their variance is 6.8. If M is the mean deviation of the numbers about the mean, then 25 M is equal to:

Accepted Answer

(A) $60$

Answer

(B) $55$

Answer

(C) $50$

Answer

(D) $45$

Question 18

Let $f(x) = 2\cos^{-1}x + 4\cot^{-1}x - 3x^{2} - 2x + 10$, $x \in [-1, 1]$. If $[a, b]$ is the range of the function then $4a - b$ is equal to:

Accepted Answer

(B) $11 - \pi$

Answer

(A) $11$

Answer

(C) $11 + \pi$

Answer

(D) $15 - \pi$

Question 19

Let $\Delta, 
abla \in \{\wedge, \vee\}$ be such that $p 
abla q \Rightarrow ((p \Delta q) 
abla r)$ is a tautology. Then $(p 
abla q) \Delta r$ is logically equivalent to :

Accepted Answer

(A) $(p \Delta r) \vee q$

Answer

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

Answer

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

Answer

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

Question 20

The sum of the cubes of all the roots of the equation $x^{4} - 3x^{3} - 2x^{2} + 3x + 1 = 10$ is ______.

Accepted Answer

36

Question 21

There are ten boys $B_{1}$, $B_{2}$, ...., $B_{10}$ and five girls $G_{1}$, $G_{2}$, ...., $G_{5}$ in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both $B_{1}$ and $B_{2}$ together should not be the members of a group, is____________.

Accepted Answer

1120

Question 22

Let the common tangents to the curves $4(x^{2} + y^{2}) = 9$ and $y^{2} = 4x$ intersect at the point Q. Let an ellipse, centered at the origin O, has lengths of semi-minor and semi-major axes equal to OQ and 6, respectively. If $e$ and $l$ respectively denote the eccentricity and the length of the latus rectum of this ellipse, then $\frac{l}{e^{2}}$ is equal to____________.

Accepted Answer

4

Question 23

Let $f(x) = \max\{|x + 1|, |x + 2|, ..., |x + 5|\}$. Then $\int_{-6}^{0} f(x)\,dx$ is equal to ______________.

Accepted Answer

21

Question 24

Let the solution curve $y = y(x)$ of the differential equation $(4 + x^{2})dy - 2x(x^{2} + 3y + 4)dx = 0$ pass through the origin. Then $y(2)$ is equal to_________.

Accepted Answer

12

Question 25

If $\sin^{2}(10^{\circ})\sin(20^{\circ})\sin(40^{\circ})\sin(50^{\circ})\sin(70^{\circ}) = \alpha - \frac{1}{16}\sin(10^{\circ})$, then $16 + \alpha^{-1}$ is equal to ___________.

Accepted Answer

80

Question 26

Let $A = \{n \in N : 	ext{H.C.F. }(n, 45) = 1\}$ and Let $B = \{2k : k \in \{1, 2, ..., 100\}\}$. Then the sum of all the elements of $A \cap B$ is ___________.

Accepted Answer

5264

Question 27

The value of the integral $\frac{48}{\pi^{4}}\int_{0}^{\pi}\left(\frac{3\pi x^{2}}{2} - x^{3}\right)\frac{\sin x}{1 + \cos^{2} x}\,dx$ is equal to ________.

Accepted Answer

6

Question 28

Let $A = \sum_{i=1}^{10}\sum_{j=1}^{10}\min\{i, j\}$ and $B = \sum_{i=1}^{10}\sum_{j=1}^{10}\max\{i, j\}$. Then $A + B$ is equal to ________.

Accepted Answer

1100

Question 29

Let $S = (0, 2\pi) - \left\{\frac{\pi}{2}, \frac{3\pi}{4}, \frac{3\pi}{2}, \frac{7\pi}{4}\right\}$. Let $y = y(x)$, $x \in S$, be the solution curve of the differential equation $\frac{dy}{dx} = \frac{1}{1 + \sin 2x}$, $y\left(\frac{\pi}{4}\right) = \frac{1}{2}$. if the sum of abscissas of all the points of intersection of the curve $y = y(x)$ with the curve $y = \sqrt{2}\sin x$ is $\frac{k\pi}{12}$, then k is equal to __________.

Accepted Answer

42

Question 30

An expression for a dimensionless quantity P is given by $P = \frac{\alpha}{\beta}\log_{e}\left(\frac{kt}{\beta x}\right)$; where α and β are constants, x is distance ; k is Boltzmann constant and t is the temperature. Then the dimensions of α will be :

Accepted Answer

(C) $[MLT^{-2}]$

Answer

(A) $[M^{0}L^{-1}T^{0}]$

Answer

(B) $[ML^{0}T^{-2}]$

Answer

(D) $[ML^{2}T^{-2}]$

Question 31

A person is standing in an elevator. In which situation, he experiences weight loss ?

Accepted Answer

(B) When the elevator moves downward with constant acceleration

Answer

(A) When the elevator moves upward with constant acceleration

Answer

(C) When the elevator moves upward with uniform velocity

Answer

(D) When the elevator moves downward with uniform velocity

Question 32

An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero ?

Accepted Answer

(A) Momentum

Answer

(B) Potential energy

Answer

(C) Acceleration

Answer

(D) Force

Question 33

A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is α with respect to point P. Which of the following graphs represent the correct relation between A and α when ball goes from Q to R ?

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Question 34

A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rads$^{-1}$ in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two objects each of mass m be attached gently to the opposite ends of a diameter of ring, the ring will then rotate with an angular velocity (in rads$^{-1}$).

Accepted Answer

(C) $\frac{2M}{\left(M+2m\right)}$

Answer

(A) $\frac{M}{\left(M+m\right)}$

Answer

(B) $\frac{\left(M+2m\right)}{2M}$

Answer

(D) $\frac{2\left(M+2m\right)}{M}$

Question 35

The variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctly represented by : (Given R = radius of earth)

Accepted Answer

(A) (A)

Answer

(B) (B)

Answer

(C) (C)

Answer

(D) (D)

Question 36

The efficiency of a Carnot's engine, working between steam point and ice point, will be :

Accepted Answer

(A) 26.81%

Answer

(B) 37.81%

Answer

(C) 47.81%

Answer

(D) 57.81%

Question 37

Time period of a simple pendulum in a stationary lift is 'T'. If the lift accelerates with $\frac{g}{6}$ vertically upwards then the time period will be : (where g = acceleration due to gravity)

Accepted Answer

(C) $\sqrt{\frac{6}{7}}T$

Answer

(A) $\sqrt{\frac{6}{5}}T$

Answer

(B) $\sqrt{\frac{5}{6}}T$

Answer

(D) $\sqrt{\frac{7}{6}}T$

Question 38

A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats 1.4. Vessel is moving with speed v and is suddenly brought to rest. Assuming no heat is lost to the surrounding and vessel temperature of the gas increases by : (R = universal gas constant)

Accepted Answer

(B) $\frac{Mv^{2}}{5R}$

Answer

(A) $\frac{Mv^{2}}{7R}$

Answer

(C) $2\frac{Mv^{2}}{7R}$

Answer

(D) $7\frac{Mv^{2}}{5R}$

Question 39

Two capacitors having capacitance $C_{1}$ and $C_{2}$ respectively are connected as shown in figure. Initially, capacitor $C_{1}$ is charged to a potential difference V volt by a battery. The battery is then removed and the charged capacitor $C_{1}$ is now connected to uncharged capacitor $C_{2}$ by closing the switch S. The amount of charge on the capacitor $C_{2}$, after equilibrium is :

Accepted Answer

(A) $\frac{C_{1}C_{2}}{\left(C_{1}+C_{2}\right)}V$

Answer

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

Answer

(C) $(C_{1}+C_{2})V$

Answer

(D) $(C_{1}-C_{2})V$

Question 40

Assertion (A) : Non-polar amterials do not have my permanent dipole moment.
Reason (R) : When an non-polar material is placed in a electric field. the centre of the positive charge distribution of it's individual atom or molecule coinsides with the centre of the negative charge distribution.
In the light of above statements, choose the most appropriate answer from the options given below.

Accepted Answer

(C) (A) is correct but (R) is not correct.

Answer

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

Answer

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

Answer

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

Question 41

If electric field intensity of a uniform plane electro magnetic wave is given as $E = -301.6\ \sin(kz - \omega t)\hat{a}_{x} + 452.4\ \sin(kz - \omega t)\hat{a}_{y}\ \frac{V}{m}$ Then, magnetic intensity H of this wave in $Am^{-1}$ will be:' [Given: Speed of light in vacuum $c = 3 	imes 10^{8}\ ms^{-1}$, permeability of vacuum $\mu_{0} = 4\pi 	imes 10^{-7}\ NA^{-2}$]

Accepted Answer

(C) $-0.8\sin(kz - \omega t)\hat{a}_{y} - 1.2\sin(kz - \omega t)\hat{a}_{x}$

Answer

(A) $+0.8\sin(kz - \omega t)\hat{a}_{y} + 0.8\sin(kz - \omega t)\hat{a}_{x}$

Answer

(B) $+1.0 	imes 10^{-6}\sin(kz - \omega t)\hat{a}_{y} + 1.5 	imes 10^{-6}(kz - \omega t)\hat{a}_{x}$

Answer

(D) $-1.0 	imes 10^{-6}\sin(kz - \omega t)\hat{a}_{y} - 1.5 	imes 10^{-6}\sin(kz - \omega t)\hat{a}_{x}$

Question 42

In free space, an electromagnetic wave of 3 GHz of 3 GHz frequency strikes over the edge of an object of size $\frac{\lambda}{100}$, where $\lambda$ is the wavelength of the wave in free space. The phenomenon, which happens there will be:

Accepted Answer

(D) Scattering

Answer

(A) Reflection

Answer

(B) Refraction

Answer

(C) Diffraction

Question 43

An electron with speed v and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are $E_{e}$ and $p_{e}$ and that of photon are $E_{ph}$ and $p_{ph}$ respectively. Which of the following is correct?

Accepted Answer

(B) $\frac{E_{e}}{E_{ph}}=\frac{v}{2c}$

Answer

(A) $\frac{E_{e}}{E_{ph}}=\frac{2c}{v}$

Answer

(C) $\frac{p_{e}}{p_{ph}}=\frac{2c}{v}$

Answer

(D) $\frac{p_{e}}{p_{ph}}=\frac{v}{2c}$

Question 44

How many alpha and beta particles are emitted when Uranium $_{92}U^{238}$ decays to lead $_{82}Pb^{206}$ ?

Accepted Answer

(D) 8 alpha particles and 6 beta particles

Answer

(A) 3 alpha particles and 5 beta particles

Answer

(B) 6 alpha particles and 4 beta particles

Answer

(C) 4 alpha particles and 5 beta particles

Question 45

The I-V characteristics of a p-n junction diode in forward bias is shown in the figure. The ratio of dynamic resistance, corresponding to forward bias voltages of 2V and 4V respectively, is :

Accepted Answer

(B) 5 : 1

Answer

(A) 1 : 2

Answer

(C) 1 : 40

Answer

(D) 20 : 1

Question 46

Choose the correct statement for amplitude modulation:

Accepted Answer

(C) Amplitude of carrier signal is varied in accordance with the information signal.

Answer

(A) Amplitude of modulating is varied in accordance with the information signal.

Answer

(B) Amplitude of modulated is varied in accordance with the information signal.

Answer

(D) Amplitude of modulated is varied in accordance with the modulating signal.

Question 47

A fighter jet is flying horizontally at a certain altitude with a speed of 200 $ms^{-1}$. When it passes directly overhead an anti-aircraft gun, bullet is fired from the gun, at an angle θ with the horizontal, to hit the jet. If the bullet speed is 400 m/s, the value of θ will be ............ °.

Accepted Answer

60

Question 48

A ball of mass 0.5 kg is dropped from the height of 10m. The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is ............... m. (Use g = 10 $m/s^{2}$).

Accepted Answer

5

Question 49

The elastic behaviour of material for linear streass and linear strain, is shown in the figure. The energy density for a linear strain of 5 × $10^{-4}$ is ............. $kJ/m^{3}$. Assume that material is elastic upto the linear strain of 5 × $10^{-4}$.

Accepted Answer

25

Question 50

The elongation of a wire on the surface of the earth is $10^{-4}$ m. The same wire of same dimensions is elongated by 6 × $10^{-5}$m on another planet. The acceleration due to gravity on the planet will be ............ $ms^{-2}$. (Take acceleration due to gravity on the surface of earth = 10 $m/s^{-2}$)

Accepted Answer

6

Question 51

A 10Ω, 20 mH coil carrying constant current is connected to a battery of 20 V through a switch is opened current becomes zero in 100μs. The average emf induced in the coil is ............ V.

Accepted Answer

400

Question 52

A light ray is incident, at an incident angle $	heta_{1}$, on the system of two plane mirrors $M_{1}$ and $M_{2}$ having an inclination angle 75° between them (as shown in figure). After reflecting from mirror $M_{1}$ it gets reflected back by the mirror $M_{2}$ with an angle of reflection 30°. The total deviation of the ray will be .............. degree.

Accepted Answer

210

Question 53

In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If tenth vernier scale division coincides with nineth main scale division. Then the value of vernier constant will be .............. × $10^{-2}$ mm.

Accepted Answer

5

Question 54

As per the given circuit, the value of current through the battery will be ........... A.

Accepted Answer

1

Question 55

A 110 V , 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the resistance 55 Ω, at resonance in the circuit, will be ............... A.

Accepted Answer

0

Question 56

An ideal fluid of density 800 $kgm^{-3}$, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to $\frac{a}{2}$. The pressure difference between the wide and narrow sections of pipe is 4100 Pa. At wider section, the velocity of fluid is $\frac{\sqrt{x}}{6}$$ms^{-1}$ for x = .................. (Given g = 10 $m^{-2}$)

Accepted Answer

363

Question 57

A commercially sold conc. HCl is 35% HCl by mass. If the density of this commercial acid is 1.46 g/mL, the molarity of this solution is :
(Atomic mass : Cl = 35.5 amu, H = 1 amu)

Accepted Answer

(C) 14.0 M

Answer

(A) 10.2 M

Answer

(B) 12.5 M

Answer

(D) 18.2 M

Question 58

An evacuated glass vessel weighs 40.0 g when empty, 135.0 g when filled with a liquid of density 0.95 g $mL^{-1}$ and 40.5 g when filled with an ideal gas at 0.82 atm at 250 K. The molar mass of the gas in g $mol^{-1}$ is :
(Given : R = 0.082 L atm $K^{-1}$ $mol^{-1}$)

Accepted Answer

(D) 125

Answer

(A) 35

Answer

(B) 50

Answer

(C) 75

Question 59

If the radius of the $3^{rd}$ Bohr's orbit of hydrogen atom is $r_{3}$ and the radius of $4^{th}$ Bohr's orbit is $r_{4}$. Then :

Accepted Answer

(B) $r_{4} = \frac{16}{9} r_{3}$

Answer

(A) $r_{4} = \frac{9}{16} r_{3}$

Answer

(C) $r_{4} = \frac{3}{4} r_{3}$

Answer

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

Question 60

Consider the ions/molecule
$O_{2}^{+}$, $O_{2}$, $O_{2}^{-}$, $O_{2}^{2-}$
For increasing bond order the correct option is :

Accepted Answer

(A) $O_{2}^{2-} < O_{2}^{-} < O_{2} < O_{2}^{+}$

Answer

(B) $O_{2}^{-} < O_{2}^{2-} < O_{2} < O_{2}^{+}$

Answer

(C) $O_{2}^{-} < O_{2}^{2-} < O_{2}^{+} < O_{2}$

Answer

(D) $O_{2}^{-} < O_{2}^{+} < O_{2}^{2-} < O_{2}$

Question 61

The $\left(\frac{\partial E}{\partial T}ight)_{P}$ of different types of half cells are as follows :
A     B     C     D
$1 	imes 10^{-4}$    $2 	imes 10^{-4}$    $0.1 	imes 10^{-4}$    $0.2 	imes 10^{-4}$
(Where E is the electromotive force)
Which of the above half cells would be preferred to be used as reference electrode ?

Accepted Answer

(C) C

Answer

(A) A

Answer

(B) B

Answer

(D) D

Question 62

Choose the correct stability order of group 13 elements in their +1 oxidation state.

Accepted Answer

(A) Al < Ga < In < Tl

Answer

(B) Tl < In < Ga < Al

Answer

(C) Al < Ga < Tl < In

Answer

(D) Al < Tl < Ga < In

Question 63

Given below are two statements :
Statement I : According to the Ellingham diagram, any metal oxide with higher ΔG° is more stable than the one with lower ΔG°.
Statement II : The metal involved in the formation of oxide placed lower in the Ellingham diagram can reduce the oxide of a metal placed higher in the diagram.
In the light of the above statements, choose the most appropriate answer from the options given below :

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 64

Consider the following reaction :
$2HSO_{4}^{-}(aq) \xrightarrow{(1)\ Electrolysis\ (2)\ Hydrolysis} 2HSO_{4}^{-} + 2H^{+} + A$
The dihedral angle in product A in its solid phase at 110 K is :

Accepted Answer

(C) 90.2°

Answer

(A) 104°

Answer

(B) 111.5°

Answer

(D) 111.0°

JEE Main 26 June 2022 Shift 1 Question Paper with Answers

Physics — JEE Main 26 June 2022 Shift 1

Chemistry — JEE Main 26 June 2022 Shift 1

Mathematics — JEE Main 26 June 2022 Shift 1

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