JEE Main 2023 Question Paper (11-Apr-2023) (Shift 2)

Question 1

A car $ P $ travelling at $ 20 \ \mathrm{m} \ \mathrm{s}^{-1} $ sounds its horn at a frequency of $ 400 \ \mathrm{Hz} $. Another car $ Q $ is travelling behind the first car in the same direction with a velocity $ 40 \ \mathrm{m} \quad \mathrm{s}^{-1} $. The frequency heard by the passenger of the car $ Q $ is approximately [Take, velocity of sound $ = 360 \ \mathrm{m} \ \mathrm{s}^{-1} $].

Accepted Answer

$471 \quad \mathrm{Hz}$

Answer

$421 \quad \mathrm{Hz}$

Answer

$485 \quad \mathrm{Hz}$

Answer

$514 \quad \mathrm{Hz}$

Question 2

A capacitor of capacitance $ C $ is charged to a potential $ V $. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is:

Accepted Answer

$ \frac{\mathrm{CV}}{\epsilon_{0}} $

Answer

Zero

Answer

$\frac{2\mathrm{CV}}{\epsilon_0}$

Answer

$\frac{\mathrm{CV}}{2\epsilon_0}$

Question 3

Given below are two statements: one is labelled as
Assertion $\mathbf{A}$ and the other is labelled as Reason $\mathbf{R}$
Assertion $\mathbf{A}$: A bar magnet dropped through a metallic cylindrical pipe takes more time to come down compared to a non-magnetic bar with the same geometry and mass.
Reason $\mathbf{R}$: For the magnetic bar, eddy currents are produced in the metallic pipe which oppose the motion of the magnetic bar.
In the light of the above statements, choose the correct answer from the options given below

Accepted Answer

Both $\mathbf{A}$ and $\mathbf{R}$ are true and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$.

Answer

$ \mathbf{A}$ is false but $ \mathbf{R}$ is true

Answer

$ \mathbf{A}$ is true but $ \mathbf{R}$ is false

Answer

Both $\mathbf{A}$ and $\mathbf{R}$ are true and $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$

Question 4

When one light ray is reflected from a plane mirror with $30^\circ$ angle of reflection, the angle of deviation of the ray after reflection is:

Accepted Answer

$120^\circ$

Answer

$110^\circ$

Answer

$140^\circ$

Answer

$130^\circ$

Question 5

The logic operations performed by the given digital circuit is equivalent to:

Accepted Answer

AND

Answer

NOR

Answer

OR

Answer

NAND