A pendulum string has a length of $20$ cm$.$ A $100$ g mass hanging from the string is pulled to the side by $0\mathrm{.}50$ cm$.$ When it is released, its position begins to vibrate left and right with an amplitude of $0\mathrm{.}50$ cm$,$ and a frequency of $1\mathrm{.}1$ Hz$.$ Suppose this experiment were done with the same apparatus, but on the moon, where the acceleration due to gravity is approximately $1/6$ of that on earth. What would be the new frequency of the vibration?Group of answer choices$0\mathrm{.}18$ Hz$0\mathrm{.}45$ Hz$1\mathrm{.}1$ Hz$2\mathrm{.}7$ Hz$6\mathrm{.}6$ Hz