JEE Main 2023 Question Paper (24-Jan-2023) (Shift 2)

Question 1

The electric potential at the centre of two concentric half rings of radii $R_{1}$ and $R_{2}$, having the same linear charge density $\lambda$, is.

Accepted Answer

$ \frac{\lambda}{2 \varepsilon_0} $

Answer

$ \frac{2\lambda}{\varepsilon_0} $

Answer

$ \frac{\lambda}{4 \varepsilon_0} $

Answer

$ \frac{\lambda}{\varepsilon_0} $

Question 2

Let $\gamma_{1}$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_{2}$ be the similar ratio of a diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio $\frac{\gamma_{1}}{\gamma_{2}}$ is:

Accepted Answer

$\frac{25}{21}$

Answer

$\frac{27}{35}$

Answer

$\frac{35}{27}$

Answer

$\frac{21}{25}$

Question 3

An $\alpha$ particle, a proton, and an electron have the same kinetic energy. Which one of the following is correct in case of their de-Broglie wavelength:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 4

If the distance of the Earth from the Sun is $1.5 \times 10^{6}  \mathrm{km}$, then the distance of an imaginary planet from the Sun, if its period of revolution is $2.83$ years, is:

Accepted Answer

$3 	imes 10^{6} \ \mathrm{km}$

Answer

$6 	imes 10^{7} \ \mathrm{km}$

Answer

$ 6 	imes 10^{6}  \mathrm{km}$

Answer

$3 	imes 10^{7} \ \mathrm{km}$

Question 5

Match List I with List II LIST I LIST II A AM Broadcast I $540\ \mathrm{kHz} \lt f \lt 1600\ \mathrm{kHz}$ B FM Broadcast II $88\ \mathrm{MHz} \lt f \lt 108\ \mathrm{MHz}$ C Television III $54\ \mathrm{MHz} \lt f \lt 590\ \mathrm{MHz}$ D Satellite Communication IV $3.7\ \mathrm{GHz} \lt f \lt 4.2\ \mathrm{GHz}$ Choose the correct answer from the options given below:

Accepted Answer

A-II, B-I, C-IV, D-III

Answer

A-IV, B-III, C-I, D-II

Answer

A-II, B-III, C-I, D-IV

Answer

A-I, B-III, C-II, D-IV

	LIST I		LIST II
A	AM Broadcast	I	$540\ \mathrm{kHz} \lt f \lt 1600\ \mathrm{kHz}$
B	FM Broadcast	II	$88\ \mathrm{MHz} \lt f \lt 108\ \mathrm{MHz}$
C	Television	III	$54\ \mathrm{MHz} \lt f \lt 590\ \mathrm{MHz}$
D	Satellite Communication	IV	$3.7\ \mathrm{GHz} \lt f \lt 4.2\ \mathrm{GHz}$