What is the minimum velocity required for an object of mass “m” to escape the gravitational pull of a planet of mass “M” and radius “R” from its surface?(a) [(G*M)/R]^1/2(b) [(2*G*M)/R] ^2(c) [(G*M*m)/R]^1/2(d) [(2*G*M)/R]^1/2The question was posed to me in examination.The origin of the question is Gravitation topic in section Gravitation of Physics – Class 11

What is the minimum velocity required for an object of mass “m” to

1.	What is the minimum velocity required for an object of mass “m” to escape the gravitational pull of a planet of mass “M” and radius “R” from its surface?(a) [(GM)/R]^1/2(b) [(2GM)/R] ^2(c) [(GMm)/R]^1/2(d) [(2G*M)/R]^1/2The question was posed to me in examination.The origin of the question is Gravitation topic in section Gravitation of Physics – Class 11
Answer» The CORRECT option is (d) [(2GM)/R]^1/2 To explain: If the object’s initial velocity is “v”, from the LAW of conservation of ENERGY, we have; (m X v^2)/2 = (G x M x m)/R v^2 = (2 x G x M)/R Therefore; v = [(2 x G x M)/R]^1/2.

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