$(1)$ Electrons $($with mass $9\mathrm{.}111031$ kg$)$ are moving with a velocity of $30$ m$/$s when they pass through a single slit of width $8\mathrm{.}5105$ meters. Due to the wave nature of the electrons, a single$-$slit diffraction pattern is formed. At what angle $($in degrees$)$ are either of the first$-$order minima of this pattern located? $($Hints: find the wavelength of the electrons, and notice that a speed of $30$ m$/$s is non$-$relativistic.$)($a$)73\mathrm{.}4($b$)35\mathrm{.}3($c$)16\mathrm{.}6($d$)0\mathrm{.}3($e$)$ No first$-$order minima are possible at this velocity