JEE Main 2023 Question Paper (24-Jan-2023) (Shift 1)

Question 1

Two long straight wires $ P $ and $ Q $ carrying equal current $ 10  \mathrm{A} $ each were kept parallel to each other at $ 5  \mathrm{cm} $ distance. Magnitude of magnetic force experienced by $ 10 \mathrm{cm} $ length of wire $ P $ is $ F_{1} $. If distance between wires is halved and currents on them are doubled, force $ F_{2} $ on $ 10  \mathrm{cm} $ length of wire $ P $ will be:

Accepted Answer

$8F_{1}$

Answer

$10 \quad F_{1}$

Answer

$\frac{F_{1}}{8}$

Answer

$ \frac{F_{1}}{10} $

Question 2

Given below are two statements:
Statement-I: An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable.
Statement-II: Force exerted by the floor of an elevator on the foot of a person standing on it is more than his/her weight when the elevator goes down with increasing speed.
In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

Statement I is true but Statement II is false

Answer

Both Statement I and Statement II are false

Answer

Both Statement I and Statement II are true

Answer

Statement I is false but Statement II is true

Question 3

From the photoelectric effect experiment, the following observations are made. Identify which of these are correct:
A. The stopping potential depends only on the work function of the metal.
B. The saturation current increases as the intensity of incident light increases.
C. The maximum kinetic energy of a photoelectron depends on the intensity of the incident light.
D. Photoelectric effect can be explained using wave theory of light.
Choose the correct answer from the options given below:

Accepted Answer

B only

Answer

B, C only

Answer

A, C, D only

Answer

A, B, D only

Question 4

The weight of a body at the surface of Earth is $18 \quad \mathrm{N}$. The weight of the body at an altitude of $3200 \quad \mathrm{km}$ above the Earth's surface is (given, radius of Earth $R_e = 6400 \quad \mathrm{km}$)

Accepted Answer

$8 \quad \mathrm{N}$

Answer

$9.8 \quad \mathrm{N}$

Answer

$4.9 \quad \mathrm{N}$

Answer

$19.6 \quad \mathrm{N}$

Question 5

A $100  \mathrm{m}$ long wire having cross-sectional area $6.25 	imes 10^{-4}  \mathrm{m}^2$ and Young's modulus $10^{10}  \mathrm{N} \, \mathrm{m}^{-2}$ is subjected to a load of $250  \mathrm{N}$, then the elongation in the wire will be :

Accepted Answer

$4 	imes 10^{-3}  \mathrm{m}$

Answer

$6.25 	imes 10^{-3}  \mathrm{m}$

Answer

$4 	imes 10^{-4}  \mathrm{m}$

Answer

$6.25 	imes 10^{-6} \mathrm{m}$