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A geo-stationary stellite orbits around ...

A geo-stationary stellite orbits around the earth in a circular orbit of radius 36,000km. Then, the time period of a spy stellite orbitting a few hundred km above the earth's surface `(R_(earth) = 6400km)` will approximately be

A

`1/2h`

B

`1h`

C

`2h`

D

`h`

Text Solution

Verified by Experts

The correct Answer is:
C
`T^(2)propR^(3)`
`T^(2)=KR^(3)implies(24)^(2)=K(36000)^(3)`
`K=1/(9xx10^(4)sqrt10)`
`T'=1/(9x10^(4)sqrt10)(6400)^(3/2)=2h`
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