Question

The acceleration due to gravity depends on

• A. mass of the planet.
• B. radius of the planet.
• C. mass and radius of the planet.
• D. none.

Answer 1

The correct option is C

mass and radius of the planet.

Acceleration due to gravity,

1. Acceleration due to gravity is the acceleration of a body under the gravitational force of another body.
2. Acceleration due to gravity is given by- $\mathrm{g}=\frac{\mathrm{GM}}{{\mathrm{R}}^2}$, where $G,MandR$ are gravitational constant, mass, and radius of the planet.
3. Thus, from the formula, the value of $\text{'}\text{'}\mathrm{g}\text{'}\text{'}$depends upon mass and radius of the planet.
4. Acceleration due to gravity is directly proportional to the mass and inversely proportional to the square of the radius of the planet.

Thus, the acceleration due to gravity depends on the mass and radius of the planet.

Hence, option (C) is the correct option.