1
JEE Main 2025 (Online) 7th April Evening 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 (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

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

B

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

C

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

D

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

2
JEE Main 2025 (Online) 4th April Evening Shift
MCQ (Single Correct Answer)
+4
-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)

A
$\sqrt{\frac{3 \mathrm{GM}}{\mathrm{R}}}$
B
$\sqrt{\frac{2 \mathrm{GM}}{\mathrm{R}}}$
C
$\sqrt{\frac{\mathrm{GM}}{2 \mathrm{R}}}$
D
$\sqrt{\frac{\mathrm{GM}}{\mathrm{R}}}$
3
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 $\mathbf{A}$
4
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
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