Walker, Halliday & Resnick — Diffraction: Problem 62

62 In the single-slit diffraction experiment of Fig. 36-4, let the wavelength of the light be 500 nm, the slit width be 6.00 \(\mu\)m, and the viewing screen be at distance \(D = 4.00\) m. Let a \(y\) axis extend upward along the viewing screen, with its origin at the center of the diffraction pattern. Also let \(I_P\) represent the intensity of the diffracted light at point \(P\) at \(y = 15.0\) cm. (a) What is the ratio of \(I_P\) to the intensity \(I_m\) at the center of the pattern? (b) Determine where point \(P\) is in the diffraction pattern by giving the maximum and minimum between which it lies, or the two minima between which it lies.