15: A beam of light goes through a slab of glass as represented in the figure. The index of refraction of the glass is ng = 1.5. The index of refraction of air is na = 1. The incident angle of the light is θi = 58°. (a) If the refraction angle of the light at the upper surface of the slab is θ1, express sinθ1 in terms of θi, na, and ng. (b) The incident angle of the light on the lower surface of the slab is θ2. What is the relation between θ1 and θ2? (c) The refraction angle of the light on the lower surface of the slab is θf. Express sin(θf) in terms of θ2, na, and ng.
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Angle of Refraction
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15: A beam of light goes through a slab of glass as represented in the figure. The index of refraction of the glass is ng = 1.5. The index of refraction of air is na = 1. The incident angle of the light is θi = 58°.
(a) If the refraction angle of the light at the upper surface of the slab is θ1, express sinθ1 in terms of θi, na, and ng.
(b) The incident angle of the light on the lower surface of the slab is θ2. What is the relation between θ1 and θ2?
(c) The refraction angle of the light on the lower surface of the slab is θf. Express sin(θf) in terms of θ2, na, and ng.
(d) What is the final angle θf in degrees?
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