Halliday, Resnick & Walker — Diffraction: Problem 27

27 In the two-slit interference experiment of Fig. 35-10, the slit widths are each \(12.0 \text{ \(\mu\)m}\), their separation is \(24.0 \text{ \(\mu\)m}\), the wavelength is \(600 \text{ nm}\), and the viewing screen is at a distance of \(4.00 \text{ m}\). Let \(I_P\) represent the intensity at point \(P\) on the screen, at height \(y = 35.0 \text{ cm}\). (a) What is the ratio of \(I_P\) to the intensity \(I_m\) at the center of the pattern? (b) Determine where \(P\) is in the two-slit interference pattern by giving the maximum or minimum on which it lies or the maximum and minimum between which it lies. (c) In the same way, for the diffraction that occurs, determine where point \(P\) is in the diffraction pattern.