All angles in the parts a-c may be expressed by means of tables of inverse trigonometric functions of simple fractions, e.g. , , etc.
Two vertical slits of width nanometers (nm) are separated (center to center) by a distance of nm and illuminated by light of wavelength nm. The light which passes through is then projected on a distant screen. Find:
a) The location (angles ) of all diffraction minima.
b) The location of all interference minima.
c) The location of all interference maxima.
d) Finally, draw a properly proportional figure of the resulting interference pattern between 0 and (on either side), indicating the maximum intensity in terms of the central maximum intensity that would result from a single slit.
e) For five points of extra credit, write down the algebraic expression for in terms of (the central intensity of a single slit), defining all variables used (like and ) in terms of , , and .