Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

Two different planets have same density but different radii. The acceleration due to gravity (g) on the surface of the planets is dependent on its radius (R) as.

Options:

$g \propto \frac{1}{R^2}$

$g \propto R^2$

$g \propto \frac{1}{R}$

$g \propto R$

Correct Answer:

$g \propto R$

Explanation:

$g=\frac{G M}{R^2}=\frac{G\left(\frac{4 \pi R^3}{3}\right) \rho}{R^2}$

$\Rightarrow g=\frac{4 \pi R G \rho}{3}$