JEE Main 2024 Question Paper (31-Jan-2024) (Shift 1)

Question 1

The parameter that remains the same for molecules of all gases at a given temperature is :

Accepted Answer

kinetic energy

Answer

momentum

Answer

mass

Answer

speed

Question 2

Identify the logic operation performed by the given circuit.

Accepted Answer

OR

Answer

NAND

Answer

NOR

Answer

AND

Question 3

The relation between time $t$ and distance $x$ is $t = \alpha x^{2} + \beta x$, where $\alpha$ and $\beta$ are constants. The relation between acceleration $\left(a\right)$ and velocity $\left(v\right)$ is:

Accepted Answer

$a = -2\alpha v^{3}$

Answer

$a = -5 \alpha v^{5}$

Answer

$a = -3\alpha v^{2}$

Answer

$a = -4 \alpha v^{4}$

Question 4

The refractive index of a prism with apex angle $ A $ is $ \cot \frac{A}{2} $. The angle of minimum deviation is :

Accepted Answer

${\delta}_{m} = 180^\circ - 2A$

Answer

${\delta}_{m} = 180^\circ - A$

Answer

${\delta}_{m} = 180^\circ - 3A$

Answer

${\delta}_{m} = 180^\circ - 4A$

Question 5

A rigid wire consists of a semicircular portion of radius $R$ and two straight sections. The wire is partially immersed in a perpendicular magnetic field $\mathbf{B} = B_0 \, \hat{\mathbf{j}}$ as shown in the figure. The magnetic force on the wire if it carries a current $i$ is:

Accepted Answer

$-2iBR\hat{\mathbf{j}}$

Answer

$-iBR \quad \hat{\mathbf{j}}$

Answer

$2iBR \quad \hat{\mathbf{j}}$

Answer

$iBR \quad \hat{\jmath}$