Question

A satellite is revolving in a circular orbit at a height ‘h’ from the earth’s surface (radius of earth R ; $h<<R$). 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 atmosphere.)

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$V_0=\sqrt{gR}{V}_e=\sqrt{2gR}△V=(\sqrt{2}-1)\sqrt{gR}$