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^1/2
Right answer is (c) directly proportional to P^1/2Best explanation: Escape velocity (v) = [(2*G*M)/R] ^1/2Density (P) = Mass (M) x VolumeM = P / [(4/3) x pi x R^3]Therefore;v = [(8 x pi x P x G x R^2) / 3]^1/2.