JEE Main 2024 Question Paper (29-Jan-2024) (Shift 2)

Question 1

Two sources of light emit with a power of $200\quad \mathrm{W}$. The ratio of the number of photons of visible light emitted by each source having wavelengths $300\quad \mathrm{nm}$ and $500\quad \mathrm{nm}$ respectively, will be:

Accepted Answer

$3:5$

Answer

$1:5$

Answer

$1:3$

Answer

$5:3$

Question 2

The truth table for this given circuit is:

Accepted Answer

""

Answer

Answer

Answer

Question 3

A physical quantity $ Q $ is found to depend on quantities $ a, \quad b, \quad c $ by the relation $ Q = \frac{a^{4} b^{3}}{c^{2}}. $ The percentage errors in $ a, \quad b $ and $ c $ are $ 3\%, \quad 4\% $ and $ 5\% $ respectively. Then, the percentage error in $ Q $ is:

Accepted Answer

$34\%$

Answer

$66\%$

Answer

$43\%$

Answer

$14\%$

Question 4

In an a.c. circuit, voltage and current are given by: $ V = 100 \sin(100t) \quad \mathrm{V} $ and $ I = 100 \sin\left(100t + \frac{\pi}{3}\right) \quad \mathrm{mA} $ respectively.
The average power dissipated in one cycle is:

Accepted Answer

$2.5 \quad \mathrm{W}$

Answer

$5 \quad \mathrm{W}$

Answer

$10 \quad \mathrm{W}$

Answer

$25 \quad \mathrm{W}$

Question 5

The temperature of a gas having $2.0 	imes 10^{25}$ molecules per cubic meter at $1.38 \quad \mathrm{atm}$ (Given, $k = 1.38 	imes 10^{-23} \, \mathrm{J} \, \mathrm{K}^{-1}$) is :

Accepted Answer

$500 \quad \mathrm{K}$

Answer

$200 \quad \mathrm{K}$

Answer

$100 \quad \mathrm{K}$

Answer

$300 \quad \mathrm{K}$