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

(a)$v=R\sqrt{\frac{8\mathrm{\pi }}{3}Gp}$                                         (b)$v=M\sqrt{\frac{8\mathrm{\pi }}{3}GR}$

(c)$v=\sqrt{2GMR}$                                             (d)$v=\sqrt{\frac{2GM}{{R}^{2}}}$