JEE Main 2024 Question Paper (09-Apr-2024) (Shift 1)

Question 1

A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as:

Accepted Answer

$ {\lambda }_{\alpha} < {\lambda }_{p} < {\lambda }_{e} $

Answer

${\lambda}_{e} > {\lambda}_{\alpha} > {\lambda}_{p}$

Answer

$ {\lambda }_{p} < {\lambda }_{e} < {\lambda }_{\alpha } $

Answer

$\lambda_{p} > \lambda_{e} > \lambda_{\alpha}$

Question 2

A particle moving in a straight line covers half the distance with speed 6 m/s. The other half is covered in two equal time intervals with speeds 9 m/s and 15 m/s respectively. The average speed of the particle during the motion is :

Accepted Answer

8 m/s

Answer

8.8 m/s

Answer

10 m/s

Answer

9.2 m/s

Question 3

A plane EM wave is propagating along the x direction. It has a wavelength of 4 mm. If the electric field is in the y direction with the maximum magnitude of 60 V m$^{-1}$, the equation for the magnetic field is:

Accepted Answer

${B}_{z} = 2 	imes 10^{-7} \sin \left[ \frac{\pi}{2} 	imes 10^{3} \left( x - 3 	imes 10^{8} t ight) ight] \hat{k} \, T$

Answer

${B}_{z} = 60 \sin \left[ \frac{\pi}{2} \left( x - 3 	imes 10^{8} t ight) ight] \hat{k} \, T$

Answer

${B}_{x} = 60 \sin \left[ \frac{\pi}{2} \left( x - 3 	imes 10^{8} t ight) ight] \hat{i} \, T$

Answer

${B}_{z} = 2 	imes 10^{-7} \sin \left[ \frac{\pi}{2} \left( x - 3 	imes 10^{8} t ight) ight] \hat{k} \, T$

Question 4

Given below are two statements:
Statement (I): When an object is placed at the centre of curvature of a concave lens, the image is formed at the centre of curvature of the lens on the other side.
Statement (II): A concave lens always forms a virtual and erect image. In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

Both Statement I and Statement II are false.

Answer

Statement I is false but Statement II is true.

Answer

Statement I is true but Statement II is false.

Answer

Both Statement I and Statement II are true.

Question 5

A light emitting diode (LED) is fabricated using GaAs semiconducting material whose band gap is 1.42 eV. The wavelength of light emitted from the LED is:

Accepted Answer

875 nm

Answer

650 nm

Answer

1243 nm

Answer

1400 nm