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A satellite is launched into a circular ...

A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius 4R. The ratio of their respective periods is

A

`4:1`

B

`1:8`

C

`8:1`

D

`1:4`

Text Solution

Verified by Experts

The correct Answer is:
B
`T_1 = KR^(3/2) , T_2 = K(4R)^(3/2)`
`T_2 = K(8) R^(3/2)`
`(T_1)/(T_2) = (KR^(3/2))/(8KR^(3/2)) = 1/8 implies T_1 : T_2 = 1:8`
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