A satellite is revolving in a circular orbit at a height 'h' from the earth's surface (radius of earth R). The minimum increase in its orbital velocity required, So that the satellite could escape from the earth'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)`