JEE Main 2024 Question Paper (06-Apr-2024) (Shift 2)

Question 1

The longest wavelength associated with the Paschen series is: (Given $ {\mathrm{R}}_{\mathrm{H}} = 1.097 	imes 10^{7} \ \mathrm{SI \ units}$)

Accepted Answer

$1.876 	imes 10^{-6} \quad \mathrm{m}$

Answer

$1.094 	imes 10^{-6} \quad \mathrm{m}$

Answer

$2.973 	imes 10^{-6} \quad \mathrm{m}$

Answer

$3.646 	imes 10^{-6} \quad \mathrm{m}$

Question 2

A total of 48 J heat is given to one mole of helium kept in a cylinder. The temperature of helium increases by 2°C. The work done by the gas is : (Given, $ R = 8.3 \, \text{J K}^{-1} \text{mol}^{-1} $.)

Accepted Answer

23.1 J

Answer

72.9 J

Answer

24.9 J

Answer

48 J

Question 3

In finding out the refractive index of a glass slab, the following observations were made through a travelling microscope: 50 vernier scale divisions = 49 MSD; 20 divisions on the main scale in each cm. For the mark on paper: MSR = 8.45 cm, VC = 26 For the mark on paper seen through the slab: MSR = 7.12 cm, VC = 41 For powder particle on the top surface of the glass slab: MSR = 4.05 cm, VC = 1 (MSR = Main Scale Reading, VC = Vernier Coincidence) Refractive index of the glass slab is:

Accepted Answer

1.42

Answer

1.52

Answer

1.24

Answer

1.35

Question 4

In the given electromagnetic wave $ E_{y} = 600 \sin(\omega t - kx) \, \text{Vm}^{-1} $, the intensity of the associated light beam is (in W/m$^2$); (Given $ \epsilon_0 = 9 \times 10^{-12} \, \text{C}^2 \text{N}^{-1} \text{m}^{-2} $)

Accepted Answer

486

Answer

243

Answer

729

Answer

972

Question 5

Assuming the Earth to be a sphere of uniform mass density, a body weighed 300 N on the surface of Earth. How much would it weigh at a depth of $ \frac{R}{4} $ under the surface of Earth?

Accepted Answer

225 N

Answer

75 N

Answer

375 N

Answer

300 N