The radius of Jupiter is approximately 11 times larger than the earth. Jupiter has a mass 316 times that of earth. What is the approximate escape velocity of Jupiter compared to earth?(a) 100 times greater(b) 12 times greater(c) 5 times greater(d) Equal to that of the earthI got this question during a job interview.My question comes from Gravitation in division Gravitation of Physics – Class 11

The radius of Jupiter is approximately 11 times larger than the earth.

1.	The radius of Jupiter is approximately 11 times larger than the earth. Jupiter has a mass 316 times that of earth. What is the approximate escape velocity of Jupiter compared to earth?(a) 100 times greater(b) 12 times greater(c) 5 times greater(d) Equal to that of the earthI got this question during a job interview.My question comes from Gravitation in division Gravitation of Physics – Class 11
Answer» CORRECT choice is (c) 5 times greater For explanation I would say: M = Mass of the earth R = RADIUS of the earth V = Escape velocity of the earth We KNOW; v = [(2 x G x M)/R] ^1/2 M’ = Mass of the Jupiter R’ = Radius of the Jupiter v’ = Escape velocity of the Jupiter M’ = 316M R’ = 11R v’ = [(2 x G x M’)/R’] ^½ = [(2 x G x 316M)/11R] ^½ = 5.6 x [(2 x G x M)/R] ^1/2 = 5.6 x v.

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