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Question

A satellite of mass m, revolving in a circular orbit of radius r around the earth of mass M has magnitude of total energy E. Then its angular momentum will be

A
2Emr2
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B
2Emr
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C
Emr2
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D
4Emr2
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Solution

The correct option is A 2Emr2

The orbital velocity is V0=GMr
The magnitude of total energy E=GMm2r
The angular momentum is L=mV0r
=mGmrr
=GMm2r2r
=2mr2(GMm2r)
=2Emr2

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