JEE Main 2024 Question Paper (09-Apr-2024) (Shift 2)

Question 1

A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:1. After disintegration, they will move as follows:

Accepted Answer

In opposite directions with speed in the ratio of 1:2 respectively

Answer

In opposite directions with speed in the ratio of 2:1 respectively

Answer

In the same direction with the same speed.

Answer

In opposite directions with the same speed.

Question 2

The following figure represents two biconvex lenses $ L_{1} $ and $ L_{2} $ having focal lengths 10 cm and 15 cm respectively. The distance between $ L_{1} $ & $ L_{2} $ is :

Accepted Answer

25 cm

Answer

10 cm

Answer

15 cm

Answer

35 cm

Question 3

The temperature of a gas is $-78^\circ \text{C}$ and the average translational kinetic energy of its molecules is $K$. The temperature at which the average translational kinetic energy of the molecules of the same gas becomes $2K$ is :

Accepted Answer

117&deg;C

Answer

&ndash;39&deg;C

Answer

127&deg;C

Answer

&ndash;78&deg;C

Question 4

A hydrogen atom in the ground state is given an energy of 10.2 eV. How many spectral lines will be emitted due to the transition of electrons?

Accepted Answer

1

Answer

6

Answer

3

Answer

10

Question 5

The magnetic field in a plane electromagnetic wave is $ B_{y} = (3.5 \times 10^{-7}) \sin \left(1.5 \times 10^{3} x + 0.5 \times 10^{11} t \right) \, \text{T} $. The corresponding electric field will be :

Accepted Answer

$ E_{z} = 105 \sin \left(1.5 \times 10^{3} x + 0.5 \times 10^{11} t \right) \, \text{Vm}^{-1} $

Answer

E_{y} = 1.17 \sin \left(1.5 	imes 10^{3} x + 0.5 	imes 10^{11} t ight) 	ext{ V m}^{-1}

Answer

E_{z} = 1.17 \sin \left(1.5 	imes 10^{3} x + 0.5 	imes 10^{11} t ight) 	ext{ V m}^{-1}

Answer

E$_{y} = 10.5 \sin \left(1.5 	imes 10^{3} x + 0.5 	imes 10^{11} t ight) 	ext{ V m}^{-1}$