1 Gravitation
A satellite is revolving in a circular orbit at a height ‘$$h$$’ from the earths surface (radius of earth $$R$$; $$h < < R$$). The minimum increase in its orbital velocity required, so that the satellite could escape from the earths gravitational field, is close to : (Neglect the effect of atmosphere.)
1) $$\sqrt{2gR}$$ 2) $$\sqrt{gR}$$ 3) $$\sqrt{gR/2}$$ 4) $$\sqrt{gR}\left(\sqrt{2}-1\right)$$
Solution:
$$\sqrt{gR}\left(\sqrt{2}-1\right)$$
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