A planet has a mass M1 and radius R1 The value of acceleration due to gravity on its surface is g1 T...........

General Science (NDA) Physics

A planet has a mass M₁ and radius R₁. The value of acceleration due to gravity on its surface is g₁. There is another planet 2, whose mass and radius both are two times that of the first planet. Which one of the following is the acceleration due to gravity on the surface of planet 2?

g₁

2g₁

g₁/2

g_1/4

Explanation:

The acceleration experienced by the mass M₁, on planet 1 is given by _,Similarly the $g_{2}=G2M_{1}/4R_{1}^{2}$ . Hence , $\frac{g_{1}}{g_{2}}= 2/I or\: g_{2}=\frac{g_{1}}{2}$