Given below are two statements: one is labelled as Assertion (A) and… | JEE Main 2025 (7 Apr, Shift 2)

Q3JEE Main 2025 · 7 APR · SHIFT 2Easy

Kepler's Laws & Planetary Motion

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 mostappropriate answer from the options given below:

Show answer and solution

Answer: (c)

(A) is Kepler's second law: correct.
(R) A central force has zero torque about the centre, so $L$ is constant: correct.
Areal velocity $\dfrac{dA}{dt} = \dfrac{L}{2m}$ , so constant $L$ explains constant areal velocity.
So the answer is (c).

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