When a satellite is moving around the earth with velocity v, then to make the satellite escape, the minimum percentage increase in its velocity should be [BHU 2012]

The orbital velocity of a satellite moving around the earth,vo=grThe escape velocity is given by  ve=2gr∴  Increase in velocity  =2gr-gr=(2-1)gr=0.414grSo, percentage increase in velocity=0.414grgr×100=41.4%