question_answer

A satellite is reolving 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:                                                                                                                                                [JEE MAIN - I 3-4-2016] (Neglect the effect of atmosphere).

A) \[\sqrt{gR}\left( \sqrt{2}-1 \right)\]

B)      \[\sqrt{2gR}\]

C) \[\sqrt{gR}\]                  

D) \[\sqrt{gR/2}\]

Correct Answer: A

Solution :

[a] or

or

Increase in velocity