Question

A satellite is revolving in a circular orbit at a height 'h' from the earth's surface(radius of earth R hR). The minimum increase in its orbital velocity required, so that the satellite could escape from the earth's gravitational field, is closed to(Neglect the effect of atmosphere.)

A

B

C

D

Medium
Solution
verified
Verified by Toppr
Correct option is D)

For a satellite in orbit, the velocity can be evaluated from the following equation,
Here,

For satellite to escape, total energy of satellite must be zero. Let escape velocity of satellite at height h be

Difference in velocities is given by
as

But

Video Explanation
image
play-icon
Was this answer helpful?
upvote 0
downvote0