Select the correct option stating the reason for your choice.
If the mass of the earth remains the same, but its diameter is decreased by 1% the value of the acceleration due to gravity on the surface of the earth
(i) remains the same
(ii) decreases
(iii) increases.

Explanation

Value of acceleration due to gravity on the earth.s surface is given by `g=(GM)/(R^2)`. Thus , if M remains constant and diameter, i.e., radius R decreases, the value of g will increases. Hence, option (iii) is correct.