Question

v is escape velocity of an object from a planet of mass M, radius R, when projected from a height h above the surface of the planet. 1/v² vs h graph is shown in Fig. The mass and radius of the planet is

(1) \(m=\frac{m}{nG};R=\frac{nl}{G}\)

(2) \(M=\frac{m}{2G(n-l)};R=\frac{ml}{(n-l)}\)

(3) \(M=\frac{m\times n}{l};R=\frac{ln}{G}\)

(4) \(R=\frac{m\times n}{l};M=\frac{ln}{G}\)

Answer 1

 (2) \(M=\frac{m}{2G(n-l)};R=\frac{ml}{(n-l)}\)

The escape velocity from the planet is