question_answer

The escape velocity of an object from the earth depends upon the mass of the earth (M), its mean density \[(\rho )\], its radius (R) and the gravitational constant (G). Thus the formula for escape velocity is                           [MP PMT 1995]

A)             \[v=R\sqrt{\frac{8\pi }{3}G\rho }\]

B)               \[v=M\sqrt{\frac{8\pi }{3}GR}\]

C)             \[v=\sqrt{2GMR}\]

D)               \[v=\sqrt{\frac{2GM}{{{R}^{2}}}}\]