Horizontal rays of red light ( ? = 660 nm, in vacuum) and violet light ( ? = 410

Question

Horizontal rays of red light (? = 660 nm, in vacuum) and violet light (? = 410 nm, in vacuum) are incident on the flint-glass prism shown in the drawing. The indices of refraction for the red and violet light are nred = 1.662 and nviolet = 1.698. The prism is surrounded by air. What is the angle of refraction for (a) red ray, (b) violet ray as it emerges from the prism?

Horizontal rays of red light (? = 660 nm, in vacuum) and violet light (? = 410 nm, in vacuum) are incident on the flint-glass prism shown in the drawing. The indices of refraction for the red and violet light are nred = 1.662 and nviolet = 1.698. The prism is surrounded by air. What is the angle of refraction for (a) red ray, (b) violet ray as it emerges from the prism?

Explanation / Answer

from snell's law

n1sinx = n2siny

nred sinx = nair siny

1.662 sin25 = 1 siny hence y = 44.62 degrees

nviolet sinx = nair siny
1.698 sin25 = 1 siny hence y = 45.86 degrees

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