JEE Main 2023 Question Paper (31-Jan-2023) (Shift 1)

Question 1

A bar magnet with a magnetic moment $5.0 \mathrm{A} \cdot \mathrm{m}^2$ is placed in a parallel position relative to a magnetic field of $0.4  \mathrm{T}$. The amount of work required to turn the magnet from the parallel to the antiparallel position relative to the field direction is ________.

Accepted Answer

$4 \mathrm{J}$

Answer

$1 \mathrm{J}$

Answer

$2mathrm{J}$

Answer

Zero

Question 2

If a source of electromagnetic radiation having power $15\ \mathrm{kW}$ produces $10^{16}$ photons per second, the radiation belongs to a part of the spectrum is: (Take Planck constant $h = 6 	imes 10^{-34}\ \mathrm{J\,s}$)

Accepted Answer

Gamma rays

Answer

Microwaves

Answer

Ultraviolet rays

Answer

Radio waves

Question 3

The amplitude of $15 \sin\left(1000 \pi t\right)$ is modulated by $10 \sin\left(4 \pi t\right)$ signal. The amplitude modulated signal contains frequency(ies) of$\left(A\right)500  \mathrm{Hz}$$\left(B\right) 2 \mathrm{Hz}$$\left(C\right)  250  \mathrm{Hz}$$\left(D\right) 498 \mathrm{Hz}$$\left(E\right) 502\mathrm{Hz}$Choose the correct answer from the options given below:

Accepted Answer

A, D and E only

Answer

A only

Answer

B only

Answer

A and B only

Question 4

As shown in the figure, a $70 \mathrm{kg}$ garden roller is pushed with a force of $\overrightarrow{F} = 200  \mathrm{N}$ at an angle of $30^\circ$ with the horizontal. The normal reaction on the roller is (Given $g = 10 \mathrm{m}  \mathrm{s}^{-2}$)

Accepted Answer

$800 \quad \mathrm{N}$

Answer

$800\sqrt{2} \quad \mathrm{N}$

Answer

$600 \quad \mathrm{N}$

Answer

$200\sqrt{3} \quad \mathrm{N}$

Question 5

The initial speed of a projectile fired from the ground is $ u $. At the highest point during its motion, the speed of the projectile is $ \frac{\sqrt{3}}{2} u $. The time of flight of the projectile is:

Accepted Answer

$ \frac{u}{g} $

Answer

$\frac{u}{2g}$

Answer

$\frac{2u}{g}$

Answer

$\frac{\sqrt{3}u}{g}$