A combination of red light and blue light is incident on a flat piece of quartz

Question

A combination of red light and blue light is incident on a flat piece of quartz (see the following figure). The two colors refract at different angles.

(b) What is the angle ?? between the two rays? Assume the angle if incidence is 57

A combination of red light and blue light is incident on a flat piece of quartz (see the following figure). The two colors refract at different angles. What is the angle ?? between the two rays? Assume the angle if incidence is 57 degree (Take the index of refraction of blue light in quartz to be 1.47, and 1.46 for red light.)

Explanation / Answer

n1 sin i = n2 sin r

r= sin^-1 (sin(i) / n2)

r2-r1 = sin^-1 (sin(57) /1.47) - sin^-1 (sin(57) / 1.46)

=0.273 degres

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