JEE Main 2022 Question Paper (26-Jul-2022) (Shift 1)

Question 1

Three masses $ M = 100 \mathrm{kg}, m_1 = 10 \mathrm{kg} $ and $ m_2 = 20 \mathrm{kg} $ are arranged in a system as shown in the figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. A force $ F $ is applied on the system so that the mass $ m_2 $ moves upward with an acceleration of $ 2 \mathrm{ms}^{-2} $. The value of $ F $ is(Take $ g = 10 \mathrm{ms}^{-2} $)

Accepted Answer

$3360 \mathrm{N}$

Answer

$3380 \mathrm{N}$

Answer

$3120\,\mathrm{N}$

Answer

$3240\,\mathrm{N}$

Question 2

A radio can tune to any station in $6\,\mathrm{MHz}$ to $10\,\mathrm{MHz}$ band. The value of the corresponding wavelength bandwidth will be

Accepted Answer

$20 \mathrm{m}$

Answer

$4 \mathrm{m}$

Answer

$30 \mathrm{m}$

Answer

$50 \mathrm{m}$

Question 3

The disintegration rate of a certain radioactive sample at any instant is $4250$ disintegrations per minute. $10$ minutes later, the rate becomes $2250$ disintegrations per minute. The approximate decay constant is (Take $\log_{10} 1.88 = 0.63$)

Accepted Answer

$0.063 \, \mathrm{min}^{-1}$

Answer

$0.02 \, \mathrm{min}^{-1}$

Answer

$2.7\,\mathrm{min}^{-1}$

Answer

$6.3 \, \mathrm{min}^{-1}$

Question 4

A parallel beam of light of wavelength $900 \mathrm{nm}$ and intensity $100 \, \mathrm{Wm}^{-2}$ is incident on a surface perpendicular to the beam. The number of photons crossing $1 \mathrm{cm}^2$ area perpendicular to the beam in one second is

Accepted Answer

$4.5 	imes 10^{16}$

Answer

$3 	imes 10^{16}$

Answer

$4.5 	imes 10^{17}$

Answer

$4.5 	imes 10^{20}$

Question 5

In Young's double slit experiment, the fringe width is $12 \mathrm{mm}$. If the entire arrangement is placed in water of refractive index $\frac{4}{3}$, then the fringe width becomes (in $\mathrm{mm}$)

Accepted Answer

$9$

Answer

$16$

Answer

$48$

Answer

$12$