JEE Main 2024 Question Paper (01-Feb-2024) (Shift 2)

Question 1

In an ammeter, 5% of the main current passes through the galvanometer. If the resistance of the galvanometer is G, the resistance of the ammeter will be:

Accepted Answer

$ \frac{G}{199} $

Answer

$\frac{\mathrm{G}}{200}$

Answer

$199 \mathrm{G}$

Answer

$200 \mathrm{G}$

Question 2

To measure the temperature coefficient of resistivity $ \alpha $ of a semiconductor, an electrical arrangement shown in the figure is prepared. The arm $ BC $ is made up of the semiconductor. The experiment is being conducted at $ 25^\circ \mathrm{C} $ and the resistance of the semiconductor arm is $ 3 \mathrm{m}\Omega $. Arm $ BC $ is cooled at a constant rate of $ 2 ^\circ \mathrm{C} \mathrm{s}^{-1} $. If the galvanometer $ G $ shows no deflection after $ 10 \mathrm{s} $, then $ \alpha $ is:

Accepted Answer

$-1 	imes 10^{-2} {}^{\circ}\mathrm{C}^{-1}$

Answer

$-2 	imes 10^{-2}\ ^\circ\mathrm{C}^{-1}$

Answer

$-1.5 	imes 10^{-2}\ ^\circ\mathrm{C}^{-1}$

Answer

$-2.5 	imes 10^{-2} {}^{\circ}\mathrm{C}^{-1}$

Question 3

From the statements given below : (A) The angular momentum of an electron in the $n^{th}$ orbit is an integral multiple of $h$. (B) Nuclear forces do not obey the inverse square law. (C) Nuclear forces are spin dependent. (D) Nuclear forces are central and charge independent. (E) Stability of nucleus is inversely proportional to the value of packing fraction. Choose the correct answer from the options given below :

Accepted Answer

(A), (B), (C), (E) only

Answer

(A), (B), (C), (D) only

Answer

(A), (C), (D), (E) only

Answer

(B), (C), (D), (E) only

Question 4

A diatomic gas $(\gamma = 1.4)$ does $200 \mathrm{J}$ of work when it is expanded isobarically. The heat given to the gas in the process is:

Accepted Answer

$700  \mathrm{J}$

Answer

$850  \mathrm{J}$

Answer

$800  \mathrm{J}$

Answer

$600  \mathrm{J}$

Question 5

A disc of radius $R$ and mass $M$ is rolling horizontally without slipping with speed $v$. It then moves up an inclined smooth surface as shown in the figure. The maximum height that the disc can go up the incline is:

Accepted Answer

$\frac{1}{2} \frac{v^{2}}{g}$

Answer

$\frac{v^{2}}{g}$

Answer

$\frac{3}{4} \frac{v^{2}}{g}$

Answer

$\frac{2}{3} \frac{v^{2}}{g}$