Question

If the density of the planet is increased, then the acceleration due to gravity at its surface will _____________

Answer 1

1. As we know Acceleration due to gravity depends on the following parameters

$g=\raisebox{1ex}{$GM$}\!\left/ \!\raisebox{-1ex}{$R^2$}\right..............\left(1\right)$

Where G = Gravitational Constant

M = Mass of the Body

R = Radius of the Body

2. Also, $M=\rho V................\left(2\right)$

Where $\rho$= Density

M= Mass of the Body

V= Volume

By putting the value of equation (2) in (1),

$g=\frac{G\rho V}{R^2}$

Thus, if the density of the planet will increase then its acceleration due to gravity will also increase.