Question

Why does a man weigh less on the moon than on the Earth?

• A. Radius of the moon is more than the radius of earth.
• B. Mass of the moon is more than the mass of earth.
• C. $\frac{\text{Mass}}{{\text{Radius}}^2}$ is less for the moon.
• D. Weight does not depend upon mass and radius of earth / moon.

Answer 1

The correct option is C

$\frac{\text{Mass}}{{\text{Radius}}^2}$ is less for the moon.

At surface of a planet or a satellite, acceleration due to gravity is given by:
$g=\frac{GM}{R^2}$
where:
M: Mass of the planet / satellite
R: Radius of the planet / satellite

$\therefore g\propto \frac{M}{R^2}$