JEE Main 2023 Question Paper (13-Apr-2023) (Shift 2)

Question 1

Given below are two statements: Statement I: Out of microwaves, infrared rays, and ultraviolet rays, ultraviolet rays are the most effective for the emission of electrons from a metallic surface. Statement II: Above the threshold frequency, the maximum kinetic energy of photoelectrons is inversely proportional to the frequency of the incident light. In the light of the above statements, choose the correct answer from the options given below.

Accepted Answer

Statement I is true but Statement II is false

Answer

Statement I is false but Statement II is true

Answer

Both Statement I and Statement II are true

Answer

Both Statement I and Statement II are false

Question 2

The distance travelled by an object in time $t$ is given by $s = 2.5 t^{2}$. The instantaneous speed of the object at $t = 5 \ \mathrm{s}$ will be:

Accepted Answer

$25\athrm{m} \mathrm{s}^{-1}$

Answer

$5 \mathrm{m} \md athrm{s}^{-1}$

Answer

$62.5\mathrm{m}\mathrm{s}^{-1}$

Answer

$12.5\mathrm{m}\mathrm{s}^{-1}$

Question 3

In a Young’s double slit experiment, the ratio of amplitude of light coming from slits is $2  : 1$. The ratio of the maximum to minimum intensity in the interference pattern is

Accepted Answer

$9 \;:\; 1$

Answer

$9 \;:\; 4$

Answer

$25 \;:\; 9$

Answer

$2 \;:\; 1$

Question 4

A $10 \mu \mathrm{C}$ charge is divided into two parts and placed at $1 \mathrm{cm}$ distance so that the repulsive force between them is maximum. The charges of the two parts are:

Accepted Answer

$5 \mu \mathrm{C}, 5 \mu \mathrm{C}$

Answer

$7 \mu \mathrm{C}, 3 \mu \mathrm{C}$

Answer

$8 \mu \mathrm{C}, 2 \mu \mathrm{C}$

Answer

$9 \mu \mathrm{C}, 1 \mu \mathrm{C}$

Question 5

A passenger sitting in a train A moving at $90\mathrm{km}\quad \mathrm{h}^{-1}$ observes another train B moving in the opposite direction for $8\mathrm{s}$. If the velocity of train B is $54\quad \mathrm{km}\mathrm{h}^{-1}$, then the length of train B is:

Accepted Answer

$320 \quad \mathrm{m}$

Answer

$120 \quad \mathrm{m}$

Answer

$80 \quad \mathrm{m}$

Answer

$200 \quad \mathrm{m}$