50 In Fig. 33-50a, a beam of light in material 1 is incident on a bound- ary at an angle 0₁ = 40°. Some of the light travels through material 2, and then some of it emerges into material 3. The two boundaries between the three materials are parallel. The final direction of the beam depends, in part, on the index of refraction n3 of the third material. Figure 33-50b gives the angle of refraction 03 in that material versus n3 for a range of possible n3 values. The vertical axis scale is set by 03a = 30.0° and 03b = 50.0°. (a) What is the index of refraction of material 1, or is the index impossible to calculate without more information? (b) What is the index of refraction of material 2, or is the index im- possible to calculate without more information? (c) If 0₁ is changed to 70° and the index of refraction of material 3 is 2.4, what is 03? 0₂₁ 1 2 3 (a) 03 03b өза Figure 33-49 Problem 49. 1.5 1.7 (b) 1.9 nz

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