The velocity with which an object should be projected from the surface of the earth such that it reaches a maximum height equal to “n” time the radius of earth “R” is : (M = Mass of the earth)
Answer & explanation
Correct answer: option 3
Total initial energy = Total final energy
1/2(m x v2) – (G*M*m)/R = -(G*M*m)/(n+1)R
Simplifying the above equation, we get ;
v = [(n*G*M)/(n+1)R]1/2.