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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Physics

Shayna

Today, 03:44

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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Mariana Newton · 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