In a certain 2-slit combined interference and diffraction experiment, the fifth interference maximum and the first diffraction minimum are located at the same angle relative to the center of the screen.
a) [4 points] Write an expression in terms of the wavelength λ and the slit width a that would allow you to find the angle θD to the first diffraction minimum, but do not try to calculate the angle.
b) [4 points] Write an expression in terms of the wavelength λ and the slit separation d that would allow you to find the angle θI to the fifth interference maximum from the center, but do not try to calculate the angle.
c) [2 points] Determine the ratio of the slit separation d to the slit width a in this case. Show your work.
