: A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of $5\mathrm{.}75\backslash$times $10^14$ Hz that is incident normally on the pane. If the material has an index of refraction of $1\mathrm{.}375$ and the glass has an index of refraction of $1\mathrm{.}537,$ what is the minimum thickness the coating should have? $($c $=3\mathrm{.}00\backslash$times $108$ m$/$s$)$Show work. A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of $5\mathrm{.}75\backslash$times $10^14$ Hz that is incident normally on the pane. If the material has an index of refraction of $1\mathrm{.}375$ and the glass has an index of refraction of $1\mathrm{.}537,$ what is the minimum thickness the coating should have? $($c $=3\mathrm{.}00\backslash$times $108$ m$/$s$)$Show work.