You are building a pinhole camera, which uses a small hole instead of a lens to produce an image (Figure P34.84).

(a) If the distance between the hole and the film is \(100 \mathrm{~mm}\) and the hole diameter is \(0.300 \mathrm{~mm}\), what is the smallest resolved image point you can have on the film for light ranging from \(390 \mathrm{~nm}\) to \(750 \mathrm{~nm}\) ? Consider both geometric optics (simply considering the shadow) and wave optics.

(b) How can you determine the optimum pinhole size for a given wavelength of light?

Data from Figure P34.84