JEE Main 2023 Question Paper (29-Jan-2023) (Shift 1)

Question 1

Match List I with List II : List-I (Physical Quantity) List-II (Dimensional Formula) A Pressure gradient I $\left[\mathrm{M}^1 \mathrm{L}^{-2} \mathrm{T}^{-2}\right]$ B Energy density II $\left[\mathrm{M}^1 \mathrm{L}^{-1} \mathrm{T}^{-2}\right]$ C Electric Field III $\left[\mathrm{M}^1 \mathrm{L}^1 \mathrm{T}^{-3} \mathrm{A}^{-1}\right]$ D Latent heat IV $\left[\mathrm{M}^0 \mathrm{L}^2 \mathrm{T}^{-2}\right]$ Choose the correct answer from the options given below:

Accepted Answer

A-III, B-II, C-IV, D-I

Answer

A-III, B-II, C-I, D-IV

Answer

A-II, B-III, C-IV, D-I

Answer

A-II, B-III, C-I, D-IV

Question 2

In a cuboid of dimension $2L 	imes 2L 	imes L$, a charge $q$ is placed at the centre of the surface $S$ having area $4L^{2}$. The flux through the opposite surface to $S$ is given by

Accepted Answer

$ \frac{q}{6 \in_0} $

Answer

$ \frac{q}{12 \in_0} $

Answer

$ \frac{q}{3 \in_0} $

Answer

$ \frac{q}{2 \in_0} $

Question 3

Ratio of thermal energy released in two resistors $ R $ and $ 3R $ connected in parallel in an electric circuit is :

Accepted Answer

$3:1$

Answer

$1:1$

Answer

$1:3$

Answer

$1:27$

Question 4

A single current-carrying loop of wire carrying current $I$ flowing in anticlockwise direction as seen from $+ve \quad z$ direction and lying in the $xy$ plane is shown in the figure. The plot of the $\hat{\mathrm{j}}$ component of the magnetic field $\left(B_y\right)$ at a distance $a$ (where $a < $ radius of the coil) and on the $yz$ plane versus the $z$ coordinate looks like

Accepted Answer

""

Answer

Answer

Answer

Question 5

The magnitude of magnetic induction at the mid-point $O$ due to the current arrangement as shown in the figure will be.

Accepted Answer

$\frac{\mu_0 I}{\pi a}$

Answer

$ \frac{\mu_0 I}{2 \pi a} $

Answer

$0$

Answer

$ \frac{\mu_0 I}{4 \pi a} $

	List-I (Physical Quantity)		List-II (Dimensional Formula)
A	Pressure gradient	I	\(\left[\mathrm{M}^1 \mathrm{L}^{-2} \mathrm{T}^{-2}\right]\)
B	Energy density	II	\(\left[\mathrm{M}^1 \mathrm{L}^{-1} \mathrm{T}^{-2}\right]\)
C	Electric Field	III	\(\left[\mathrm{M}^1 \mathrm{L}^1 \mathrm{T}^{-3} \mathrm{A}^{-1}\right]\)
D	Latent heat	IV	\(\left[\mathrm{M}^0 \mathrm{L}^2 \mathrm{T}^{-2}\right]\)