Question

If the radius of the earth were to shrink by one percent, its mass remaining the same, the value of g on the earth’s surface would

• A. increase by 0.5%
• B. increase by2%
• C. decrease by 0.5%
• D. decrease by 2%

Answer 1

The correct option is B increase by2%

$g=\frac{Gm}{r^2}\frac{\Delta g}{g}\times 100=2(\frac{\Delta R}{R}\times 100)=2\times 1\%=2$