PHYSICS $223($Fall $2024)$ TEST $4($Show your work$)$ EXAMPL Suppos betwee now? IDENT still $1$ are u FLad wav of i EX Student... Problems ##$1-2$ A thin uniform film of refractive index $1\mathrm{.}750$ is placed on a sheet of glass with a refractive index $1\mathrm{.}95.$ At room temperature this film is just thick enough for light with a wavelength $605\mathrm{.}0$ nm reflected off the top of the film to be canceled by light reflected from the top of the glass. After the glass is placed in an oven and slowly heated to $174$ C$,$ you find that the film cancels reflected light with a wavelength $612$ nm$.$ Problem #$1$ What is the thickness of the film at the room temperature? Problem #$2$ What is the thickness of the film at the temperature of $174$ C$?$