Two planets move around the sun. The perio

Your Ultimate Guide to JEE & NEET Question Solutions

Two planets move around the sun. The periodic times and the mean radii of the orbits are ${T_1},\,{T_2}$ and ${r_1},\,{r_2}$ respectively. The ratio ${T_1}/{T_2}$ is equal to

A

${({r_1}/{r_2})^{1/2}}$

B

${r_1}/{r_2}$

C

${({r_1}/{r_2})^2}$

D

${({r_1}/{r_2})^{3/2}}$

Two planets move around the sun. The periodic times and the mean radii of the orbits are ${T_1},\,{T_2}$ and ${r_1},\,{r_2}$ respectively. The ratio ${T_1}/{T_2}$ is equal to

${T^2} \propto {r^3}\, \Rightarrow \,\frac{{{T_1}}}{{{T_2}}} = {\left( {\frac{{{r_1}}}{{{r_2}}}} \right)^{3/2}}$