If both the mass and radius of the earth decreases by 1% then the

Options

A. escape velocity would decrease
B. escape velocity would increase
C. acceleration due to gravity would increase
D. acceleration due to gravity would decrease.

Answer

C

Explanation

As `v_(e) = sqrt((2GM)/(R_(E)))`. If both decrease by 1% then escape velocity remain unchanged.
But `g= GM//R^(2)`
`:. G' = (G((99)/(100)M))/((99)/(100)R)^(2)= (100)/(99) (GM)/(R^(2)) = (100)/(99)g`