A soap film has a thickness d = nm and an index of refraction of n = . It is viewed from above at normal incidence as shown in the figure below. The rays in the figure have been drawn at a slight angle so you can see the reflections within the film.
a) What is the phase shift experienced by ray 1 upon reflection from the top surface of the soap film and of ray 2 upon reflection from the bottom surface?
f1 = °
f2 = °
b) Find the longest wavelength in air, l, for which there is strong reflection from the film.
l = nm
c) Find the longest wavelength, l, for which there is no reflection from the film.
l = nm
d) Find the longest wavelength, l, for which there is strong transmission through the film.
l = nm
e) If the index of refraction of the film is multiplied by a factor of , by what factor is the answer to part d multiplied?.
l =
