If the radius of the earth shrinks by `1.5%` (mass remaining same), then the value of acceleration due to gravity changes by

Options

A. `1%`
B. `2%`
C. `3%`
D. `4%`

Answer

c

Explanation

`g=(GM)/(R^(2))`
`therefore" "(Deltag)/(g)=-2(DeltaR)/(R)=-2xx1.5=-3%`