JEE Main 2025 (Online) 7th April Evening Shift

MCQ (Single Correct Answer)

-1

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): The radius vector from the Sun to a planet sweeps out equal areas in equal intervals of time and thus areal velocity of planet is constant.

Reason (R): For a central force field the angular momentum is a constant.

In the light of the above statements, choose the most appropriate answer from the options given below:

(A) is not correct but (R) is correct

Both (A) and (R) are correct but (R) is not the correct explanation of (A)

Both (A) and (R) are correct and (R) is the correct explanation of (A)

(A) is correct but (R) is not correct

JEE Main 2025 (Online) 4th April Evening Shift

MCQ (Single Correct Answer)

-1

An object is kept at rest at a distance of $3 R$ above the earth's surface where $R$ is earth's radius. The minimum speed with which it must be projected so that it does not return to earth is : (Assume $\mathrm{M}=$ mass of earth, $\mathrm{G}=$ Universal gravitational constant)

$\sqrt{\frac{3 \mathrm{GM}}{\mathrm{R}}}$

$\sqrt{\frac{2 \mathrm{GM}}{\mathrm{R}}}$

$\sqrt{\frac{\mathrm{GM}}{2 \mathrm{R}}}$

$\sqrt{\frac{\mathrm{GM}}{\mathrm{R}}}$

JEE Main 2025 (Online) 4th April Morning Shift

MCQ (Single Correct Answer)

-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

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

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

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

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

JEE Main 2025 (Online) 3rd April Morning Shift

MCQ (Single Correct Answer)

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

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

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

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

JEE Main Subjects