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 :

[JEE Main 2025, 7 Apr (Shift 2)]

Question

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 :

[JEE Main 2025, 7 Apr (Shift 2)]

YESPYQ · Accepted Answer

Correct answer: a) Both (A) and (R) are correct and (R) is the correct explanation of (A). $\frac{dA}{dt}=\frac{L}{2m}$ Due to central force torque is zero & angular momentum is constant.

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

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