Gravitation

JEE Main level, single correct, medium

200 of 223

Question 200 of 223

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 :

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Answer: (A) Both (A)(\mathrm{A}) and (R)(\mathrm{R}) are correct and (R)(\mathrm{R}) is the correct explanation of (A)\mathrm{( A)}

dAdt=L2 m\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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