Halliday, Resnick & Walker — Electromagnetic Waves: Problem 30

30 In Fig. 33-43a, a beam of light in material 1 is incident on a boundary at an angle of \(\theta_1 = 30^\circ\). The extent of refraction of the light into material 2 depends, in part, on the index of refraction \(n_2\) of material 2. Figure 33-43b gives the angle of refraction \(\theta_2\) versus \(n_2\) for a range of possible \(n_2\) values. The vertical axis scale is set by \(\theta_{2a} = 20.0^\circ\) and \(\theta_{2b} = 40.0^\circ\). (a) What is the index of refraction of material 1? (b) If the incident angle is changed to \(65^\circ\) and material 2 has \(n_2 = 2.4$, then what is angle \(\theta_2\)?