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A satellite of mass M revolving in a cir...

A satellite of mass M revolving in a circular orbit of radius `r_(s)` around the earth of mass M has a total energy E. then, its angular momentum will be

A

`sqrt((E)/(m_(s)r_(s)^(2)))`

B

`(E)/(2m_(s)r_(s)^(2))`

C

`(2Em_(s)r_(s)^(2))^(1//2)`

D

`sqrt(2Em_(s)r_(s))`

Text Solution

Verified by Experts

The correct Answer is:
C
`:' (GMm_(s))/(r_(s)^(2)) = (m_(s)v_(s)^(2))/(r_(s))`
`v_(s) = ((GM)/(r_(s)))^(1//2)`
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