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A satellite is in a circular orbit round...

A satellite is in a circular orbit round the earth at an altitude R above the earth's surface, where R is the radius of the earth. If g is the acceleration due to gravity on the surface of the earth, the speed of the satellite is

A

`sqrt(2Rg)`

B

`sqrt(Rg)`

C

`sqrt((Rg)/(2))`

D

`(sqrt(Rg))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Orbital velocity `(v_(0))` at a height h abive the earth's surface is given by
`v_(0) = R_(e) sqrt((g)/(R_(e)+h))`
Given, `h = R_(e)`
`:. v_(0) = R sqrt((g)/(2R))`
`rArr v_(0) = sqrt((Rg)/(2))`
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