The radius of the earth is reduced by `1%` with mass remaining the same. The escape velocity form the earth

Options

A. increases by `0.5%`
B. decreases by `11%`
C. remains the same
D. decreases by `0.5%`

Answer

a

Explanation

`(Deltav_(e))/(v_(e))=-(1)/(2)(DeltaR)/(R)`
`=-(1)/(2)xx1%=-0.5" increases"`
`(Deltav_(e))/(v_(e))=-0.5%" increase."`