JEE Main 2022 Question Paper (28-Jul-2022) (Shift 1)

Question 1

The dimensions of $ \left(\frac{B^{2}}{\mu_{0}}\right) $ will be (if $ \mu_{0} $: permeability of free space and $ B $: magnetic field)

Accepted Answer

$\left[\mathrm{ML}^{-1}\mathrm{T}^{-2}\right]$

Answer

$\left[\mathrm{ML}^2 \mathrm{T}^{-2}\right]$

Answer

$\left[\mathrm{MLT}^{-2}\right]$

Answer

$\left[\mathrm{MLL}^{-2}\mathrm{A}^{-1}\right]$

Question 2

A NCC parade is going at a uniform speed of $9 \mathrm{km} \mathrm{h}^{-1}$ under a mango tree on which a monkey is sitting at a height of $19.6 \mathrm{m}$. At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is:
(Given $g = 9.8 \mathrm{m} \mathrm{s}^{-2}$)

Accepted Answer

$5 \quad \mathrm{m}$

Answer

$10 \quad \mathrm{m}$

Answer

$19.8 \quad \mathrm{m}$

Answer

$24.5 \quad \mathrm{m}$

Question 3

In two different experiments, an object of mass $5 \mathrm{kg}$ moving with a speed of $25 \mathrm{ms}^{-1}$ hits two different walls and comes to rest within
(i) $3$ seconds, (ii) $5$ seconds, respectively.
Choose the correct option out of the following :

Accepted Answer

Impulse will be the same for both cases, but the average force will be different.

Answer

Impulse and average force acting on the object will be the same for both the cases.

Answer

Average force will be the same for both cases, but the impulse will be different.

Answer

Average force and impulse will be different for both the cases.

Question 4

A balloon has a mass of $10 \mathrm{g}$ in air. The air escapes from the balloon at a uniform rate with velocity $4.5 \mathrm{cm} \mathrm{s}^{-1}$. If the balloon shrinks completely in $5 \mathrm{s}$, then the average force acting on the balloon will be (in dyne).

Accepted Answer

$9$

Answer

$3$

Answer

$12$

Answer

$18$

Question 5

If the radius of Earth shrinks by $2\%$ while its mass remains the same, the acceleration due to gravity on the Earth's surface will approximately

Accepted Answer

increase by $4\%$

Answer

decrease by $2\%$

Answer

decrease by $4\%$

Answer

increase by $2\%$