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A planet as a radius “R” and density “P”. The escape velocity of this planet is _____(a) directly proportional to P(b) inversely proportional to P(c) directly proportional to P^1/2(d) inversely proportional to P^1/2This question was posed to me during an online exam.This interesting question is from Gravitation topic in division Gravitation of Physics – Class 11

Answer»

Right answer is (c) directly PROPORTIONAL to P^1/2

Best explanation: Escape velocity (v) = [(2*G*M)/R] ^1/2

Density (P) = Mass (M) x Volume

M = P / [(4/3) x pi x R^3]

THEREFORE;

v = [(8 x pi x P x G x R^2) / 3]^1/2.



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