The index of refraction of silicate flint glass for red light is 1.620 and for violet light is 1.660. A beam of white light in this glass strikes the glass-air interface at a 25.50∘ angle of incidence and refracts out into the air. What is the angular separation between the red and violet components of the spectrum that emerges from the glass?

Question

Tatiana Benjamin

Physics

29 June, 05:51

The index of refraction of silicate flint glass for red light is 1.620 and for violet light is 1.660. A beam of white light in this glass strikes the glass-air interface at a 25.50∘ angle of incidence and refracts out into the air. What is the angular separation between the red and violet components of the spectrum that emerges from the glass?

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Answers (1)

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Romeo Weaver · Answer 1

10.16 degrees

Explanation:

Apply Snells Law for both wavelenghts

/ (n_{1}sin/theta_{1} = n_{2}sin/theta_{2}/)

For red

(1.620) (sin 25.5) = (1) (sin r)

For red, the angle is 35.45degrees

For violet

(1.660) (sin 25.5) = (1) (sin v)

For violet, the angle is 45.6 degrees

The difference is 45.6 - 35.45 = 10.16 degrees