JEE Main 2023 Question Paper (08-Apr-2023) (Shift 1)

Question 1

Two projectiles $ A $ and $ B $ are thrown with initial velocities of $ 40  \mathrm{m}\mathrm{s}^{-1} $ and $ 60  \mathrm{m} \mathrm{s}^{-1} $ at angles $ 30^\circ $ and $ 60^\circ $ with the horizontal respectively. The ratio of their ranges respectively is $\left( g = 10  \mathrm{m} \mathrm{s}^{-2} \right)$

Accepted Answer

$4 \;:\; 9$

Answer

$2 \;:\; \sqrt{3}$

Answer

$\sqrt{3} : \quad 2$

Answer

$1 \quad : \quad 1$

Question 2

The engine of a train moving with speed $10  \mathrm{m}  \mathrm{s}^{-1}$ towards a platform sounds a whistle at frequency $400  \mathrm{Hz}$. The frequency heard by a passenger inside the train is: (Neglect air speed. Speed of sound in air $= 330 \quad \mathrm{m}  \mathrm{s}^{-1}$)

Accepted Answer

$400 \quad \mathrm{Hz}$

Answer

$200 \quad \mathrm{Hz}$

Answer

$412 \quad \mathrm{Hz}$

Answer

$388 \quad \mathrm{Hz}$

Question 3

In a reflecting telescope, a secondary mirror is used to:

Accepted Answer

Move the eyepiece outside the telescopic tube.

Answer

Reduce the problem of mechanical support

Answer

Make chromatic aberration zero

Answer

remove spherical aberration

Question 4

A charged particle moving in a magnetic field $ \mathbf{B} $ has components of velocity both along $ \mathbf{B} $ and perpendicular to $ \mathbf{B} $. The path of the charged particle will be

Accepted Answer

Helical path with the axis along magnetic field $ \mathbf{B} $

Answer

Helical path with the axis perpendicular to the direction of magnetic field $ \mathbf{B} $

Answer

circular path

Answer

straight along the direction of magnetic field $ \mathbf{B}$

Question 5

In this figure, the resistance of the coil of galvanometer $ \mathrm{G} $ is $ 2  \Omega $. The emf of the cell is $ 4  \mathrm{V} $. The ratio of potential difference across $ \mathrm{C}_1 $ and $ \mathrm{C}_2 $ is

Accepted Answer

$\frac{4}{5}$

Answer

$1$

Answer

$\frac{5}{4}$

Answer

$\frac{3}{4}$