A particle of mass m, having an energy E and angular momentum L, is in a parabolic trajectory around a planet of mass M. If the distance of the closest approach to the planet is r_m, which of the following statement(s) is(are) true?
(G is the Gravitational constant)

IIT JAM - 2024
IIT JAM

Updated On: Oct 1, 2024

E>0
E=0
\(𝐿 = \sqrt{2𝐺𝑀𝑚^2𝑟_m}\)
\(𝐿 = \sqrt{2𝐺𝑀^2mr_m}\)

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The Correct Option is B, C

Solution and Explanation

The correct options are: B and C

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A particle of mass m, having an energy E and angular momentum L, is in a parabolic trajectory around a planet of mass M. If the distance of the closest approach to the planet is rm, which of the following statement(s) is(are) true? (G is the Gravitational constant)