The acceleration due to gravity at the surface of moon is only one-sixth of that of the earth. If the earth and moon are assumed to have same density, then ratio of the radius of the moon to radius of the earth is

Q: The acceleration due to gravity at the surface of moon is only one-sixth of that of the earth. If the earth and moon are assumed to have same density, then ratio of the radius of the moon to radius of the earth is

(a) $\frac{1}{6}$

(b) $\frac{1}{6^{1/3}}$

(c) $\frac{1}{36}$

(b) $\frac{1}{36^{1/3}}$

Ans: (a)