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Q.

A planet of mass ‘m’ is in an elliptical orbit about the sun (m<< M) with an orbital time period ‘T’. If ‘A’ be the area of the orbit then its angular momentum is

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a

$\frac{2 mA}{T}$

b

$\frac{mA}{2 T}$

c

mAT

d

2mAT

answer is A.

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Detailed Solution

$\frac{dA}{dt} = \frac{L}{2 m}$

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