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The ratio of distance of two satellites ...

The ratio of distance of two satellites from the centre of earth is `1:4`. The ratio of their time periods of rotation will be

A

`1:4`

B

`4:1`

C

`1:8`

D

`8:1`

Text Solution

Verified by Experts

The correct Answer is:
C
`(GMm)/R^2=(Mv^2)/R`
`v=sqrt((GM)/R) , T=(2piRsqrtR)/sqrt(GM)`
`T^2 oo R^3 , T_1/T_2=sqrt((1/4)^3)=1/4xx1/2=1/8`
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