Explanation:
GIVEN
We are given that the radius of the moon is 1/4th of that of the Earth and the mass of the moon is 1/80 times that of the Earth.
Let M and R be the mass and radius of the Earth and g be the value of acceleration due to gravity on the surface of the Earth
TO FIND
The value of acceleration due to gravity on the surface of the moon with respect to the value of acceleration due to gravity on the surface of the Earth (g)
FORMULA USED
The formula for acceleration due to gravity is given by
g = G M/ R^2
where G is the universal gravitation constant and its value is 6.67 × 10^-11 Nm^2/kg^2
SOLUTION
g = G M /R^2
==> g = G × (1/80)M / (1/4)R^2
==> g(on moon) = g/5
ANSWER
The answer to this question is (b) g/5