JEE Main 2023 Question Paper (10-Apr-2023) (Shift 2)

Question 1

The half-life of a radioactive substance is $T$. The time taken to disintegrate $\left(\frac{7}{8}ight)^{	ext{th}}$ part of its original mass will be:

Accepted Answer

$3T$

Answer

$2T$

Answer

$T$

Answer

$8T$

Question 2

Two projectiles are projected at $30^\circ$ and $60^\circ$ with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is:

Accepted Answer

$1 \;:\; 3$

Answer

$ \sqrt{3}  :  1 $

Answer

$1 :  \sqrt{3}$

Answer

$2 :  \sqrt{3}$

Question 3

A gas is compressed adiabatically, which one of the following statement is NOT true?

Accepted Answer

There is no change in the internal energy

Answer

There is no heat supplied to the system

Answer

The temperature of the gas increases

Answer

The change in the internal energy is equal to the work done on the gas

Question 4

The amplitude of the magnetic field in an electromagnetic wave propagating along the $y$-axis is $6.0 	imes 10^{-7} \ \mathrm{T}$. The maximum value of the electric field in the electromagnetic wave is

Accepted Answer

$180\quad \mathrm{V} \quad \mathrm{m}^{-1}$

Answer

$2 	imes 10^{15} \quad \mathrm{V} \quad \mathrm{m}^{-1}$

Answer

$6.0 	imes 10^{-7} \ \mathrm{V} \ \mathrm{m}^{-1}$

Answer

$5 	imes 10^{14} \quad \mathrm{V} \quad \mathrm{m}^{-1}$

Question 5

Given below are two statements: Statement I: Rotation of the earth shows effect on the value of acceleration due to gravity $ g $. Statement II: The effect of rotation of the earth on the value of $ g $ at the equator is maximum and that at the pole is minimum. 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