$1.$ If you want to design a radio telescope with an angular resolution of $0\mathrm{.}05$ ^o operating at a frequency of $94$ GHz$,$ what diameter should the radio telescope have?

 $2.$ The Extremely Large Telescope $($ELT$)$ will have a diameter of $39$ m when constructed. What is the theoretical separation distance that can be resolved on the surface of Jupiter with $500$ nm light? Assume the distance to Jupiter is $928$ million km$.$