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The orbital velocity for an earth satell...

The orbital velocity for an earth satellite near the surface of the earth is 8 km/sec. If the radius of the orbit is 4 times the radius of the earth, its orbital velocity will be

A

8 km/s

B

16 km/s

C

4 km/s

D

`8sqrt(2)km//s`

Text Solution

Verified by Experts

The correct Answer is:
C
`v = sqrt((GM)/(R )) " " therefore " " (v_(1))/(v_(2))=sqrt((R_(2))/(R_(1)))=sqrt((4)/(1))=2`
`therefore v_(2)=(v_(1))/(2) = 4 m//s`
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