JEE Main 2024 Question Paper (27-Jan-2024) (Shift 2)

Question 1

The equation of state of a real gas is given by $ \left(P + \frac{a}{V^{2}}\right)(V - b) = RT, $ where $P$, $V$, and $T$ are pressure, volume, and temperature respectively, and $R$ is the universal gas constant. The dimensions of $\frac{a}{b^{2}}$ are similar to that of :

Accepted Answer

$P$

Answer

$PV$

Answer

$RT$

Answer

$ R $

Question 2

Wheatstone bridge principle is used to measure the specific resistance $ S_1 $ of a given wire, having length $ L $ and radius $ r $. If $ X $ is the resistance of the wire, then the specific resistance is: $ S_1 = X \left( \frac{\pi r^2}{L} \right). $ If the length of the wire gets doubled, then the value of the specific resistance will be:

Accepted Answer

${S}_{1}$

Answer

$ \frac{S_{1}}{4} $

Answer

$2 \quad \mathrm{S}_1$

Answer

$\frac{S_1}{2}$

Question 3

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit about the sun.
Reason (R): The moon takes less time to move around the earth than the time taken by the earth to move around the sun.

Accepted Answer

Both (A) and (R) are correct and (R) is the correct explanation of (A).

Answer

(A) is correct but (R) is not correct

Answer

Both (A) and (R) are correct but (R) is not the correct explanation of (A).

Answer

(A) is not correct but (R) is correct

Question 4

Given below are two statements :Statement (I) : The limiting force of static friction depends on the area of contact and is independent of materials.Statement (II) : The limiting force of kinetic friction is independent of the area of contact and depends on materials. In the light of the above statements, choose the most appropriate answer from the options given below :

Accepted Answer

Statement I is incorrect but Statement II is correct

Answer

Statement I is correct but Statement II is incorrect

Answer

Both Statement I and Statement II are incorrect

Answer

Both Statement I and Statement II are correct

Question 5

The truth table of the given circuit diagram is :

Accepted Answer

$ \begin{array}{lll} 	ext{A} & 	ext{B} & 	ext{Y} \ 0 & 0 & 0 \ 0 & 1 & 1 \ 1 & 0 & 1 \ 1 & 1 & 0 \end{array} $

Answer

$ \begin{array}{lll} 	ext{A} & 	ext{B} & 	ext{Y} \ 0 & 0 & 1 \ 0 & 1 & 0 \ 1 & 0 & 0 \ 1 & 1 & 1 \end{array} $

Answer

$ \begin{array}{lll} 	ext{A} & 	ext{B} & 	ext{Y} \ 0 & 0 & 0 \ 0 & 1 & 0 \ 1 & 0 & 0 \ 1 & 1 & 1 \end{array} $

Answer

$ \begin{array}{lll} 	ext{A} & 	ext{B} & 	ext{Y} \ 0 & 0 & 1 \ 0 & 1 & 1 \ 1 & 0 & 1 \ 1 & 1 & 0 \end{array} $