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Two vertical slits of width 1500 nanometers (nm) are separated (center to center) by a distance of 2500 nm and illuminated by light of wavelength 500 nm. The light which passes through is then projected on a distant screen. Find:

a) The location (angles $\theta$) 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 $\pi/2$ (on either side), indicating the maximum intensity in terms of the central maximum intensity that would result from a single slit.