A test particle is moving in a circular orbit in the gravitational field produced by a mass density ρ(r) = k/r^2 . Identify the correct relation between the radius R of the particle's orbit and its period T

Question:

A test particle is moving in a circular orbit in the gravitational field produced by a mass density ρ(r) = k/r² . Identify the correct relation between the radius R of the particle’s orbit and its period T

Options :

(a) TR is a constant
(b) T/R^2 is a constant
(c) T/R is a constant
(d) T^2/R^3 is a constant

Answer :

Answer Steps :

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