A satellite is in a circular orbit very close to the surface of a planet. At same planet it is given an impulse along its direction of motion, causing its velocity to increase n times. It now goes into an elliptical orbit, with the planet at the centre of the ellipse. The maximum possible value of n for this to occur is:

Q: A satellite is in a circular orbit very close to the surface of a planet. At same planet it is given an impulse along its direction of motion, causing its velocity to increase n times. It now goes into an elliptical orbit, with the planet at the centre of the ellipse. The maximum possible value of n for this to occur is:

(a) √2

(b) √2+1

(c) 2

(d) 1/(√2-1)