If both the mass and radius of the earth decrease by `1%` the value of

Options

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

Answer

b

Explanation

`g=(GM)/(R^(2))`
If both M and R decrease by `1%`, their values become 0.99 M and 0.99 R respectively.
`g'=(Gxx0.99M)/((0.99R)^(2))=1.01(GM)/(R^(2))=0.01g`