Which of the following expressions correctly relates the orbital period of a small…

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Which of the following expressions correctly relates the orbital period

T

of a small satellite to its orbital radius

R

around a planet of mass

M

(where

G

is the universal gravitational constant)? (a)

T^{2}=\dfrac{GM}{4\pi^{2}}R^{3}

(b)

T^{2}=\dfrac{4\pi^{2}}{GM}R^{3}

(c)

T^{2}=\dfrac{4\pi^{2}}{GM}R

(d)

T^{2}=\dfrac{4\pi^{2}}{GM}R^{2}