1.

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] ^2The question was asked in final exam.My question is from Gravitational Potential Energy in section Gravitation of Physics – Class 11

Answer»

Correct CHOICE is (a) [(n*G*M)/(n+1)R] ^1/2

For explanation I WOULD say: Total INITIAL energy = Total final energy

1/2(m X v^2) – (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.



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