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A satellite of moon revolves around it i...

A satellite of moon revolves around it in a radius n times the radius of moon (assume radius of moon= R) Due to cosmic dust, it experience a resistance F = `alphav^(2)`. Find how long will it stay in the orbit (mass of satellite is m, mass of moon is M)

A

`(m)/(alphasqrt((GM)/(R)))sqrt(n)`

B

`(m)/(alphasqrt((GM)/(R)))sqrt(sqrt(n)-1)`

C

`(m)/(alphasqrt((GM)/(R)))sqrt(sqrt(n)+1)`

D

`(mn)/(alphasqrt((GM)/(R)))`

Text Solution

Verified by Experts

The correct Answer is:
B
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