If the radius of the earth shrinks by `0.2%` without any change in its mass, the escape velocity from the surface of the earth

Options

A. increases by `0.2 %`
B. decreases by `0.2 %`
C. increases by `0.1 %`
D. increases by `0.4%`

Answer

C

Explanation

`v_(e)=sqrt((2GM)/R)`
`rArr v_(e)prop1/(sqrt(R))rArr (Deltav_(e))/(v_(e))xx100=-1/2((DeltaR)/Rxx100)`