Light of wavelength 480 nm falls normally on four slits. Each slit is 2 m wide and

Light of wavelength 480 nm falls normally on four slits. Each slit is 2 μm wide and is separated from the next by 6 μm.

(a) Find the angle from the center to the first point of zero intensity of the single–slit diffraction pattern on a distant screen.

(b) Find the angles of any bright interference maxima that lie inside the central diffraction maximum.

(c) Find the angular spread between the central interference maximum and the first interference minimum on either side of it.

(d) Sketch the intensity as a function of angle.