A $2\mathrm{.}0$ m long rope is fixed at one end and free to move up and down at the other. The speed of a transverse wave in the rope is $8\mathrm{.}0$ m$/$s$.$ What is the lowest frequency of a standing wave in the rope that has two nodes that are not at either end $($a$)6\mathrm{.}0$ Hz $($b$)3\mathrm{.}0$ Hz $($c$)5\mathrm{.}3$ Hz $($d$)4\mathrm{.}0$ Hz $($e$)5\mathrm{.}0$ Hz