A body is projected vertically upwards form the surface of the earth with a velocity ve/m where m > 1 and ve is the escape velocity. If R is the radius of the earth, the maximum distance from the centre of the earth to which the body rises is:

Q: A body is projected vertically upwards form the surface of the earth with a velocity ve/m where m > 1 and ve is the escape velocity. If R is the radius of the earth, the maximum distance from the centre of the earth to which the body rises is:

(a) $\frac{R}{m^2 – 1}$

(b) $\frac{R}{m^2 + 1}$

(c) $\frac{m R}{m^2 – 1}$

(d) $\frac{m^2 R}{m^2 – 1}$

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Ans: (d)