JEE Main 2025 (Online) 4th April Morning Shift | Gravitation Question 3 | Physics

1

JEE Main 2025 (Online) 4th April Morning Shift

MCQ (Single Correct Answer)

+4

-1

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason $\mathbf{R}$

Assertion A: The kinetic energy needed to project a body of mass $m$ from earth surface to infinity is $\frac{1}{2} \mathrm{mgR}$, where R is the radius of earth.

Reason R: The maximum potential energy of a body is zero when it is projected to infinity from earth surface.

In the light of the above statements, choose the correct answer from the options given below

A

$\mathbf{A}$ is false but $\mathbf{R}$ is true

B

Both $\mathbf{A}$ and $\mathbf{R}$ are true and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$

C

$\mathbf{A}$ is true but $\mathbf{R}$ is false

D

Both $\mathbf{A}$ and $\mathbf{R}$ are true but $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$

2

JEE Main 2025 (Online) 3rd April Morning Shift

MCQ (Single Correct Answer)

+4

-1

$$ \text { Match the LIST-I with LIST-II } $$

List - I		List - II
A.	$$ \text { Gravitational constant } $$	I.	$$ \left[\mathrm{LT}^{-2}\right] $$
B.	$$ \text { Gravitational potential energy } $$	II.	$$ \left[\mathrm{L}^2 \mathrm{~T}^{-2}\right] $$
C.	$$ \text { Gravitational potential } $$	III.	$$ \left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right] $$
D.	$$ \text { Acceleration due to gravity } $$	IV.	$$ \left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right] $$

Choose the correct answer from the options given below:

A

A-IV, B-III, C-II, D-I

B

A-II, B-IV, C-III, D-I

C

A-I, B-III, C-IV, D-II

D

A-III, B-II, C-I, D-IV

3

JEE Main 2025 (Online) 28th January Evening Shift

MCQ (Single Correct Answer)

+4

-1

Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth is 11.2 km/s, the escape velocity in km/s from the planet will be:

A

8.4

B

11.2

C

5.6

D

2.8

4

JEE Main 2025 (Online) 24th January Morning Shift

MCQ (Single Correct Answer)

+4

-1

A satellite is launched into a circular orbit of radius ' R ' around the earth. A second satellite is launched into an orbit of radius 1.03 R . The time period of revolution of the second satellite is larger than the first one approximately by

A

$3 \%$

B

$2.5 \%$

C

$4.5 \%$

D

$9 \%$