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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 earth's centre. Their time periods 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

`implies T_A/T_B=(r_1/r_2)^(3/2) = (r/(2r))^(3/2)=(1/8)^(1/2) = 1/(2sqrt2)`
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