Question

If a radius of a planet shrinks by 2 percentage while it's mass remaining the unchanged , the acceleration due to gravity on the planet's surface would.
(chose)
1 Decrees
2 Increase
3 Remain unchanged
4 First decrease than increase

Answer 1

The answer is "increases".

Acceleration due to gravity is inversely proportional to the radius. Which means that as the radius of the object decreases, the gravitational force of the planet will increase (forces are stronger when they act on smaller objects).

The law for this phenomena is: $g=\frac{GM}{R^{2} }.$

Where g is the gravitational force, G is the gravitational constant, M is the mass and R is the radius.