JEE Main 2022 Question Paper (26-Jun-2022) (Shift 2)

Question 1

The dimension of mutual inductance is

Accepted Answer

$\mathrm{ML}^2 \mathrm{T}^{-2} \mathrm{A}^{-2}$

Answer

$\mathrm{ML}^2 \mathrm{T}^{-2} \mathrm{A}^{-1}$

Answer

$\mathrm{ML}^2 \mathrm{T}^{-3} \mathrm{A}^{-1}$

Answer

$\mathrm{ML}^2 \mathrm{T}^{-3} \mathrm{A}^{-2}$

Question 2

In the arrangement shown in the figure, ${a}_{1}, {a}_{2}, {a}_{3}$, and ${a}_{4}$ are the accelerations of masses ${m}_{1}, {m}_{2}, {m}_{3}$, and ${m}_{4}$ respectively. Which of the following relations is true for this arrangement?

Accepted Answer

$4a_{1} + 2a_{2} + a_{3} + a_{4} = 0$

Answer

${a}_{1} + 4{a}_{2} + 3{a}_{3} + {a}_{4} = 0$

Answer

${a}_{1} + 4{a}_{2} + 3{a}_{3} + 2{a}_{4} = 0$

Answer

$2a_{1} + 2a_{2} + 3a_{3} + a_{4} = 0$

Question 3

Arrange the four graphs in descending order of total work done, where $ W_1, W_2, W_3 $ and $ W_4 $ are the work done corresponding to figures $ a, b, c $ and $ d $ respectively.

Accepted Answer

${W}_{3} > {W}_{2} > {W}_{1} > {W}_{4}$

Answer

${W}_{3} > {W}_{2} > {W}_{4} > {W}_{1}$

Answer

${W}_{2} > {W}_{3} > {W}_{4} > {W}_{1}$

Answer

${W}_{2} > {W}_{3} > {W}_{1} > {W}_{4}$

Question 4

A solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to its total kinetic energy is

Accepted Answer

$ \frac{2}{7} $

Answer

$\frac{1}{5}$

Answer

$\frac{2}{5}$

Answer

$ \frac{7}{10} $

Question 5

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If we move from poles to equator, the direction of acceleration due to gravity of Earth always points towards the center of Earth without any variation in its magnitude. Reason R: At the equator, the direction of acceleration due to gravity is towards the center of Earth. In the light of the above statements, choose the correct answer from the options given below.

Accepted Answer

Assertion is false but reason is true

Answer

Assertion and reason both are correct and reason is correct explanation of assertion.

Answer

Assertion and reason both are correct but reason is not correct explanation of assertion.

Answer

Assertion is true but reason is false