Given below are two statements : one is labelled as Assertion (A)… - Vidyadip

MCQ

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

✓

Answer

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

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