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A satellite A of mass m is at a distance...

A satellite A of mass m is at a distance of r from the surface of the earth. Another satellite B of mass 2m is at a distance of 2r from the the earth's centre. Their time periods are in the ratio of

A

`1:2`

B

`1:16`

C

`1:32`

D

`1:2 sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D

Time period does not depend on the mass. Also `T^(2) prop r^(3)`, then `(T_(A))/(T_(B))=(r^(3//2))/(2^(3//2)r^(3//2))=1:2sqrt(2)`
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