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The x–y plane is the boundary between two transparent media. Medium 1, with z > 0, has a refractive index √2 and medium 2, with z < 0, has a refractive index √3 . A ray of light, incident in medium 1, given by

A = 6√3\(\hat{i}\) + 8√\(\hat{j}\) - 10\(\hat{k}\)

is incident on the plane of seperation. Its angle of incidence (i) and the angle of refraction (r), would be

(1) i = 45° ; r = 60°

(2) i = 45° ; r = 60°

(3) i = 75° ; r = 60°

(4) i = 45° ; r = 55°

1 Answer

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Best answer

(1) i = 45° ; r = 60°

The angle of incidence (i) is given by “the direction cosine” of A with the z–axis; the normal to the plane of incidence. Hence i is given by

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