JEE Main 2024 Question Paper (01-Feb-2024) (Shift 1)

Question 1

With rise in temperature, the Young's modulus of elasticity decreases.

Accepted Answer

decreases

Answer

changes erratically

Answer

increases

Answer

remains unchanged

Question 2

If $ R $ is the radius of the Earth and the acceleration due to gravity on the surface of the Earth is $ g = \pi^{2} \ \mathrm{m} \ \mathrm{s}^{-2} $, then the length of the second's pendulum at a height $ h = 2R $ from the surface of the Earth will be:

Accepted Answer

$ \frac{1}{9} \quad \mathrm{m} $

Answer

$\frac{2}{9} \quad \mathrm{m}$

Answer

$\frac{4}{9} \quad \mathrm{m}$

Answer

$\frac{8}{9} \quad \mathrm{m}$

Question 3

In the given circuit, if the power rating of the Zener diode is $10 \mathrm{mW}$, the value of the series resistance $R_{s}$ to regulate the input unregulated supply is:

Accepted Answer

$5 k\Omega$

Answer

$10\ \Omega$

Answer

$1  k\Omega$

Answer

$10 k\Omega$

Question 4

The reading in the ideal voltmeter $ (V) $ shown in the given circuit diagram is:

Accepted Answer

$0 \quad \mathrm{V}$

Answer

$5 \quad \mathrm{V}$

Answer

$10 \quad \mathrm{V}$

Answer

$3 \quad \mathrm{V}$

Question 5

Two identical capacitors have the same capacitance $C$. One of them is charged to the potential $V$ and the other to the potential $2V$. The negative ends of both are connected together. When the positive ends are also joined together, the decrease in energy of the combined system is:

Accepted Answer

$\frac{1}{4} C V^{2}$

Answer

$2C V^{2}$

Answer

$\frac{1}{2} C V^{2}$

Answer

$\frac{3}{4} C V^{2}$