Which of the following relations correctly expresses the dependence between the time…

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

Problem

Which of the following relations correctly expresses the dependence between the time periods

T_1, T_2

and the semi-major axes

a_1, a_2

of two planets revolving around the Sun? (a)

\displaystyle \frac{T_1^{3}}{T_2^{3}}=\frac{a_1^{2}}{a_2^{2}}

(b)

\displaystyle \frac{T_1}{T_2}=\frac{a_1}{a_2}

(c)

\displaystyle \frac{T_1^{2}}{T_2^{2}}=\frac{a_1^{3}}{a_2^{3}}

(d)

\displaystyle \frac{T_1^{2}}{T_2^{2}}=\frac{a_2^{3}}{a_1^{3}}