The period of revolution of Jupiter around the sun is 12 times the period of revolution of the earth around the sun. The distance between the Jupiter and sun is n times the distance between the earth and sun. Then the value of n is :

Question

$\begin {array} {1 1} (1)\;(144)^{\large\frac{3}{2}} & \quad (2)\;(144)^{\large\frac{2}{3}} \\ (3)\;^3\sqrt{144} & \quad (4)\;^4\sqrt{144} \end {array}$