A satellite is revolving in a circular orbit at a height 'h' from the earth's surface (radius of earth R, h ltlt R). The minimum increase in its orbital velocity required, So that the satellite could escape from the erth's gravitational field, is close to :(Neglect the effect of atomsphere.)

Options

A. `sqrt(gR)(sqrt(2)-1)`
B. `sqrt(2gR)`
C. `sqrt(gR)`
D. `sqrt(gR//2)`

Answer

A

Explanation

`V_(0)=sqrt((GM)/(R))` or `sqrt(gR)`
`V_(e)sqrt((2GM)/(R))` or `sqrt(2gR)`