Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

Two planets move around the sun. The periodic times and the mean radii of the orbits are T1, T2, r1 and r2 respectively. The ratio of $\frac{T_1}{T_2}$ is equal to

Options:

$\left(\frac{r_1}{r_2}\right)^{1 / 2}$

$\frac{r_1}{r_2}$

$\left(\frac{r_1}{r_2}\right)^{2}$

$\left(\frac{r_1}{r_2}\right)^{3 / 2}$

Correct Answer:

$\left(\frac{r_1}{r_2}\right)^{3 / 2}$

Explanation:

$\frac{T_1^2}{T_2^2}=\frac{r_1^3}{T_2^3} ; \frac{T_1}{T_2}=\left(\frac{r_1}{r_2}\right)^{3 / 2}$