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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//2 hr`

B

` 1 hr`

C

`2 hr`

D

`4 hr`

Text Solution

Verified by Experts

The correct Answer is:
C
As, `T^(2) prop r^(3)`,
so `T_(2) = T_(1) ((r_(2))/(r_(1)))^(3//2) = 24 ((6400)/(36000))^(3//2) = 1.7 h`
For spy satellite the orbital radius, `r_(2)` is slightly greater than `R_(e). (~~ 6400 km)`,
So,`T_(s) gt T_(2)`, hence `T_(s) = 2 hr`
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