The diameter of a hydrogen atom is approximately $1\mathrm{.}06✕10-10$ m$,$ as defined by the diameter of the spherical electron cloud around the nucleus. The hydrogen nucleus has a diameter of approximately $2\mathrm{.}40✕10-15$ m$.$

$($a$)$ Imagine a scale model of a hydrogen atom where its diameter is represented by the length of a Nimitz$-$class aircraft carrier $(1092$ ft$).$ In this model, what would be the diameter of the nucleus in millimeters?