The escape velocity of a body on an imaginary planet which is thrice the radius of the earth and double the mass of the earth is (`v_(e )` is the escape velocity of earth) :

Options

A. `sqrt(2//3) v_(e )`
B. `sqrt(3//2)v_(e )`
C. `sqrt(2)//3v_(e )`
D. `2//sqrt(3)v_(e )`

Answer

A

Explanation

Escape velocity `v_(e)^(.)=sqrt((2GM.)/(R.))=sqrt((2Gxx2M)/(3R))`
`v_(e )^(.)= sqrt((2)/(3)).v_(e )`.
Thus correct choice is (a).