JEE Main 2024 Question Paper (06-Apr-2024) (Shift 1)

Question 1

To find the spring constant $ k $ of a spring experimentally, a student commits 2% positive error in the measurement of time and 1% negative error in the measurement of mass. The percentage error in determining the value of $ k $ is :

Accepted Answer

5%

Answer

3%

Answer

1%

Answer

4%

Question 2

A bullet of mass 50 g is fired with a speed 100 m/s on a plywood and emerges with 40 m/s. The percentage loss of kinetic energy is :

Accepted Answer

84 %

Answer

32 %

Answer

44 %

Answer

16 %

Question 3

The ratio of the shortest wavelength of the Balmer series to the shortest wavelength of the Lyman series for the hydrogen atom is :

Accepted Answer

4 : 1

Answer

1 : 2

Answer

1 : 4

Answer

2 : 1

Question 4

To project a body of mass $ m $ from Earth's surface to infinity, the required kinetic energy is (assume the radius of Earth is $ R_{E} $, $ g $ = acceleration due to gravity on the surface of Earth):

Accepted Answer

mgR$_{E}$

Answer

2mgR$_{E}$

Answer

$\frac{1}{2} mg R_{E}$

Answer

4mgR$_{E}$

Question 5

Electromagnetic waves travel in a medium with speed of $1.5	imes10^{8} \mathrm{m\,s}^{-1}$. The relative permeability of the medium is $2.0$. The relative permittivity will be :

Accepted Answer

2

Answer

5

Answer

1

Answer

4