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The orbital velocity of an artificial sa...

The orbital velocity of an artificial satellite in a circular orbit just above the earth's surface is v. For a satellite orbiting at an altitude of half of the earth's radius, the orbital velocity is

A

`(3)/(2)v`

B

`sqrt((2)/(3)).v`

C

`sqrt((3)/(2)).v`

D

`(2)/(3)v`

Text Solution

Verified by Experts

The correct Answer is:
B
As , `v=sqrt((GM)/(R))`
and `v.=sqrt((GM)/(3R//2))`
`therefore(v)/(v)=sqrt((2)/(3))`
`thereforev.=sqrt((2)/(3)).v`
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