If the radius of the earth were to shrink by one percent its mass remaining the same, the acceleration due to greavity on the earth's surface would

Options

A. decrease
B. remian unchanged
C. increase
D. be zero

Answer

C

Explanation

(c ) `g=(GM)/(R^2) and g' = (GM)/(0.99R)^2`
`:. (g')/(g) = ((R )/(0.99R)^2 rArr g'gtg`