JEE Main 2024 Question Paper (08-Apr-2024) (Shift 1)

Question 1

Three bodies A, B and C have equal kinetic energies and their masses are 400 g, 1.2 kg and 1.6 kg respectively. The ratio of their linear momenta is :

Accepted Answer

$1 : \sqrt{3} 2$

Answer

$1 : \sqrt{3} : \sqrt{2}$

Answer

$ \sqrt{2}  :  \sqrt{3} : \quad 1 $

Answer

$ \sqrt{3} \; : \; \sqrt{2} \; : \; 1 $

Question 2

Average force exerted on a non-reflecting surface at normal incidence is $2.4 \times 10^{-4} \, \text{N}$. If $360 \, \text{W/cm}^2$ is the light energy flux during a span of 1 hour 30 minutes, then the area of the surface is:

Accepted Answer

$0.02 \quad \mathrm{m}^2$

Answer

$0.2\quad \mathrm{m}^2$

Answer

$20 \quad \mathrm{m}^2$

Answer

$0.1 \quad \mathrm{m}^2$

Question 3

A proton and an electron are associated with the same de-Broglie wavelength. The ratio of their kinetic energies is:
\[ \text{(Assume } h = 6.63 \times 10^{-34} \text{ J s}, m_e = 9.0 \times 10^{-31} \text{ kg}, \text{and} m_p = 1836 \times m_e) \]

Accepted Answer

$1 \quad : \quad 1836$

Answer

$1 \quad : \quad \frac{1}{1836}$

Answer

$1 \quad : \quad \frac{1}{\sqrt{1836}}$

Answer

$1 \quad : \quad \sqrt{1836}$

Question 4

A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature (27&deg;C). The ratio of specific heats of gases at constant volume respectively is:

Accepted Answer

$ \frac{3}{5} $

Answer

$\frac{7}{5}$

Answer

$ \frac{3}{2} $

Answer

$\frac{5}{3}$

Question 5

$ \mathrm{In}  \mathrm{an}  \mathrm{expression}\quad \mathrm{a} 	imes \quad {10}^{\mathrm{b}} :$

Accepted Answer

$ \mathrm{b} \mathrm{is}  \mathrm{order}  \mathrm{of}  \mathrm{magnitude}  \mathrm{for}\quad \mathrm{a}\le  5$

Answer

$ \mathrm{a}  \mathrm{is}  \mathrm{order}  \mathrm{of}  \mathrm{magnitude}  \mathrm{for}  \mathrm{b}\le  5$

Answer

$ \mathrm{b}  \mathrm{is}  \mathrm{order}  \mathrm{of}  \mathrm{magnitude}  \mathrm{for}  5 <  \mathrm{a} \le  10$

Answer

$ b  is order  of magnitude  for  a  \le   5$