In Figure a, a beam of light in material 1 is incident on a boundary at an angle θ1 = 40?. Some of the light travels through materials, and then some of it emerge 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 b gives the angle of refraction θ3 in that material versus n3 for a range of possible n3 values. The vertical axis scale is set by θ3a = 30.0? and θ3b = 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 impossible to calculate without more information?

(c) If θ1 is changed to 70? and the index of refraction of material 3 is 2.4, what is θ3?

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1.5 1.7 1.9 (a) (b)