JEE Main 2022 Question Paper (30-Jul-2022) (Shift-2)

Question 1

If current (I), kinetic energy (K) and charge (Q) are taken as the fundamental quantities, The dimensional representation of power will be :

Accepted Answer

$[KIQ^{-1}]$

Answer

$[K^{-1}QI^{-1}]$

Answer

$[KQI^{-1}]$

Answer

$[K^{-1}Q^{-1}I]$

Question 2

Two trucks A and B are approaching each other on a straight path with the velocities of $16 \ m/s$ and $20 \ m/s$ respectively. When they are $200 \ m$ apart their drivers see each other and applies the breaks simultaneously. If the truck A decelerates with $2 \ m/s^2$ and truck B decelerates with $4 \ m/s^2$, what is the distance between them when they finally stop?

Accepted Answer

$86 \ m$

Answer

$14 \ m$

Answer

$114 \ m$

Answer

$64 \ m$

Question 3

A bullet of mass $10 \ gram$ is fired with velocity of $100 \ m/s$ from the gun of mass $1 \ kg$. Recoil speed of the gun is :

Accepted Answer

$1 \ m/s$

Answer

$10 \ m/s$

Answer

$0.5 \ m/s$

Answer

$0.1 \ m/s$

Question 4

A mass of $0.5 \ kg$ is attached to one end of a massless spring whose natural length is $1 \ m$ and spring constant is $800 \ N/m$ The other end of the spring is fixed while the mass moves in a circular path in a horizontal plane with an angular speed of $20 \ rad/s$. The extension in the length of the spring will be :

Accepted Answer

$\frac{1}{3} \ m$

Answer

$\frac{1}{10} \ m$

Answer

$\frac{1}{4} \ m$

Answer

$\frac{1}{5} \ m$

Question 5

The time period of X planet of our solar system is $8 \ years$. The distance of earth from the sun is $1.5 \ 	imes \ 10^{11} \ m$. The distance of the X planet from the sun will be :

Accepted Answer

$6 	imes \ 10^{11} \ m$

Answer

$3\sqrt{2}	imes10^{11} \ m$

Answer

$3 	imes \ 10^{11} \ m$

Answer

$12 	imes \ 10^{11} \ m$