Question

In above figure (a), a beam of light in material 1 is incident on a boundary at an angle of  . The extent of refraction of the light into material 2 depends, in part, on the index of refraction    of material 2. Above figure (b) gives the angle of refraction    versus    for a range of possible    values. The vertical axis scale is set by    and  . (a) What is the index of refraction of material 1? (b) If the incident angle is changed to    and material 2 has  , then what is angle  ?

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(a) A simple implication of Snell’s law is that    when  . Since the angle of incidence is shown in figure (a) to be  , we look for a point in figure (b) where  . This seems to occur when  . By inference, then, .

(b) From    we get  .

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