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

A

`1:2`

B

`1:16`

C

`1:32`

D

`1:2sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D

`T^2propr^3`
T independent of satellite mass
`(T_1)/(T_2)=(r/(2r))^(3/2)=1/(2sqrt2)`
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