A satellite is revolving in a circular orbit at a height h from the earth surface, such that h << R where R is the radius of the earth. Assuming that the effect of earth's atmosphere can be neglected the minimum increase in the speed required so that the satellite could escape from the gravitational field of earth is :
ā2R
ā2gR
āgR(ā2šµ)
āgR2
Solution:
The correct option is AāgR(ā2šµ) As we know that escape velocity is given by; v0=āg(R+h)āāgR ve=ā2g(R+h)āā2gR Īv=veāv0=(ā2šµ)āgR