JEE Main 2023 Question Paper (12-Apr-2023) (Shift 1)

Question 1

A proton and an $\alpha$-particle are accelerated from rest by $2 \ \mathrm{V}$ and $4 \ \mathrm{V}$ potentials, respectively. The ratio of their de-Broglie wavelengths is:

Accepted Answer

$4 \;:\; 1$

Answer

$8 \;:\; 1$

Answer

$2 \;:\; 1$

Answer

$16 \;:\; 1$

Question 2

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : EM waves used for optical communication have wavelengths < than that of microwaves, employed in Radar technology. Reason R : Infrared EM waves are more energetic than microwaves (used in Radar). In the light of given statements, choose the correct answer from the options given below.

Accepted Answer

A is false but R is true

Answer

Both A and R are true but R is NOT the correct explanation of A

Answer

A is true but R is false

Answer

Both $ A $ and $ R $ are true and $ R $ is the correct explanation of $ A $.

Question 3

If the r.m.s speed of chlorine molecule is $490\ \mathrm{m}\ \mathrm{s}^{-1}$ at $27^{\circ}\mathrm{C}$, the r.m.s speed of argon molecules at the same temperature will be (Atomic mass of argon $=39.9\ \mathrm{u}$, molecular mass of chlorine $=70.9\ \mathrm{u}$).

Accepted Answer

$651.7\quad \mathrm{m}\quad \mathrm{s}^{-1}$

Answer

$551.7\quad \mathrm{m} \, \mathrm{s}^{-1}$

Answer

$451.7\quad \mathrm{m} \, \mathrm{s}^{-1}$

Answer

$751.7\quad \mathrm{m}\,\mathrm{s}^{-1}$

Question 4

Two satellites $A$ and $B$ move around the Earth in the same orbit. The mass of $A$ is twice the mass of $B$. The quantity which is the same for the two satellites will be

Accepted Answer

Total energy

Answer

Speed

Answer

Kinetic energy

Answer

Potential energy

Question 5

A particle is executing simple harmonic motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be

Accepted Answer

$2 \;:\; 1$

Answer

$1 \;:\; 1$

Answer

$1 \;:\; 3$

Answer

$1 \;:\; 4$