Mass remaining constant, the radius of the earth shrinks by 1%. The acceleration due to gravity on the earth's surface would

Options

A. increase by 2%
B. increase by 1%
C. decrease by 1%
D. decrease by `1/2` %

Answer

A

Explanation

As ` g = (GM)/(R^2)`
` therefore (Delta g)/(g) xx 100 = 2 (Delta R)/( R) xx 100 = 2 xx 1% = 2%`