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A satellite orbiting the circular orbit ...

A satellite orbiting the circular orbit of radius `R` complete one revolution in `3h`. If orbital radius of geostationary satellite is `36000km`, then the orbital radius `R` of satellite is

A

6000 km

B

9000 km

C

12000 km

D

15000 km

Text Solution

Verified by Experts

The correct Answer is:
B
`T^(2)prop r^(3)impliesTpropr^(3//2)`
`(T_(1))/(T_(2))=((r_(1))/(r_(2)))^(3//2)`
`3/24=(R/36000)^(3//2)impliesR=9000km`
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