A test particle is moving in circular orbit in the gravitational field produced by a…

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

A test particle is moving in circular orbit in the gravitational field produced by a mass density

\rho(r) = \frac{K}{r^2}

. Identify the correct relation between the radius

R

of the particle's orbit and its period

T

: (1)

T/R

is a constant (2)

T^2/R^3

is a constant (3)

T/R^2

is a constant (4)

TR

is a constant