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Two satellites revolve around the earth ...

Two satellites revolve around the earth at distances 3R and 6R from the centre of earth. Their periods of revolutions will be in the ratio:

A

`1:2^(0.67)`

B

`2:1`

C

`1:2^(1.5)`

D

`1:2`

Text Solution

Verified by Experts

The correct Answer is:
C
As `(T_(2))/(T_(1))=((r_(2))/(r_(1)))^(3//2)=((6R)/(3R))^(3//2)=2^(3//2)`
`(T_(2))/(T_(1))=2^(1.5) rArr T_(1):T_(2)=1:2^(1.5)`
So the correct choice is (c ).
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