If both the mass and radius of the earth, each decreases by 50%, the acceleration due to gravity would

Options

A. remain same
B. decrease by 50%
C. decrease by 100%
D. increase by 100%

Explanation

Here acceleration due to gravity `g=GM//R^(2)` and changed value of acceleration due to gracity due to variation of mass and radius
`g=(G(M//2))/(R//2)^(2)=(2GM)/(R^(2))=2g`
`therefore` % increaseing in `g=(g'-g)/(g)xx100=(2g-gg)/(g)xx100=100%`