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Uniform Circular Motion

A planet of m...

Question

A planet of mass $m$ is in a elliptical orbit about the sun $(m << M_{s u n})$ with an orbital period $T$ . If $A$ be the area of orbit, then its angular momentum would be:

A

2 m A T

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B

m A T

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C

\frac{m A}{2 T}

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D

\frac{2 m A}{T}

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Solution

The correct option is D $\frac{2 m A}{T}$
Angular Momentum $L = m r^{2} ω = m \frac{A}{π} \frac{2 π}{T} = \frac{2 m A}{T}$

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