Question

The mass and diameter of a planet have twice the value of the corresponding parameters of earth.
Acceleration due to gravity on the surface of the planet is

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

$\frac{g^{\prime }}{g}=\frac{M^{\prime }}{M}(\frac{R}{R^{\prime }}{)}^2=(\frac{2M}{M}\left)\right(\frac{R}{2R}{)}^2=\frac{1}{2}$
$\Rightarrow g^{\prime }=\frac{g}{2}=\frac{9.8}{2}=4.9m/s^2$