The radius and mass of Earth are increased by 0.5%. Which of the following statements is false at the surface of the Earth?

Options

A. g will increase
B. g will decrease
C. escape velocity will remain unchanged
D. potential energy will remain unchanged

Answer

A

Explanation

`g=(GM)/(R^2),v_(e)=sqrt((2GM)/(R))andU=-(GMm)/(R)`
`thereforegprop(M)/(R^2),v_(e)propsqrt((M)/(R))andUprop(M)/(R)`
If both mass and radius are increased by 0.5% then `v_(e)` and U remain unchanged whereas g decreases by 0.5%.