The resolution of a telescope is ultimately limited by the diameter of its objective lens or mirror. A typical amateur astronomer's telescope may have a $6\mathrm{.}05$ in diameter mirror. What is the minimum angular separation $($in arc seconds$)$ of two stars that can be resolved with a $6\mathrm{.}05$ in scope? $($Take ambda to be at the center of the visible spectrum, $560$ nm$.)$ Give answer in arc second. Do not enter unit.

What is the minimum distance between two points on the Moon's surface that can be resolved by a $6\mathrm{.}05$ in scope? $($$Note$: The average distance from Earth to the Moon is $384588$ km$.)$