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A satellite is revolving in a circular o...

A satellite is revolving in a circular orbit at a height h from the earth surface ,such that `hlt lt R` is the readius of the earth .Assuming that the effect of earth 's atmosphere can be neglected the minimum increase in the speed required so that the stallite could escape from the gravitational field of earth is :

A

`sqrt(2gR)`

B

`sqrt(gR)`

C

`sqrt((gR)/2)`

D

`sqrt(gR)(sqrt2-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
`V_e=sqrt((2GM)/R),V_0=sqrt((GM)/R)` So, `DeltaV=(sqrt2-1)sqrt((GM)/R)=(sqrt2-1) sqrt(gR)`
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