On which quantity the escape velocity for earth does not depend on

Options

A. mass of the earth
B. mass of the projectile
C. point of projection relative to the earth
D. gravitational constant

Answer

B

Explanation

Potential energy = kinetic energy:
` + (GM_(e)m)/R = 1/2 mv_(e)^(2)`
Where m is mass of projectile, Me is mass of earth, `M_(e)` is gravitational constant, R is radius.
`v_(e) = sqrt((2GM_(e))/R_(e))`.
The above formula shows that escape velocity is independent of the mass of the projectile.