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Consider a hypothetical planet which is ...

Consider a hypothetical planet which is very long and cylinderical. The density of the planet is `rho`, its radius is `R`.

Assume that the planet is rotating abouts its axis with time period `T`. How far from the axis of the planet do the synchronous telecommunications satellite orbit?

A

`RTsqrt(piGrho)`

B

`2RTsqrt(piGrho)`

C

`RTsqrt(2piGrho)`

D

`RTsqrt((Grho)/(2pi))`

Text Solution

Verified by Experts

The correct Answer is:
D
`v=romega=((2pi)/T)r, r=(vT)/(2pi)=sqrt((Grho)/(2pi))RT`.
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