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Two satellites A and B revolve around a ...

Two satellites `A` and `B` revolve around a planet in two coplanar circular orbits in the same sense with radii `10^(4) km` and `2 xx 10^(4) km` respectively. Time period of `A` is `28` hours. What is time period of another satellite?

A

`56 h`

B

`56sqrt(2) h`

C

`56sqrt(3) h`

D

`43sqrt(2) h`

Text Solution

Verified by Experts

The correct Answer is:
B
`T prop r^(3//2)`
`:. ((T_(2))/(pi)) = ((r_(2))/(r_(1)))^(3//2)`
or `T_(2) = ((r_(2))/(r_(1)))^(3//2) T_(1)`
`=((2 xx 10^(4))/(10^(4)))^(3//2) (28)= 56sqrt(2) h`
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