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

Options

A. `1:2`
B. `1:19`
C. `1:32`
D. `1:2sqrt2`

Answer

d

Explanation

`(T_(2))/(T_(1))=((r_(2))/(r_(1)))^(3//2)=((2r)/(r))^(3//2)`
`(T_(2))/(T_(1))=(2sqrt2)/(1)`
`(T_(1))/(T_(2))=(1)/(2sqrt2)`.