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)(a) [(n*G*M)/(n+1)R] ^1/2(b) [((n+1)*G*M)/(n+1)R] ^2(c) [(n*G*M)/(n+1)R](d) [((n+1)*G*M)/nR] ^2
Correct choice is (a) [(n*G*M)/(n+1)R] ^1/2For explanation I would say: Total initial energy = Total final energy1/2(m x v^2) – (G*M*m)/R = -(G*M*m)/(n+1)RSimplifying the above equation, we get;v = [(n*G*M)/(n+1)R]^1/2