Diamond not only has a high index of refraction, but also has a great deal of di

Question

Diamond not only has a high index of refraction, but also has a great deal of dispersion, meaning that different colors of light see different indices of refraction. Red light, for example, sees an index of refraction of 2.41, while blue light sees an index of 2.45. Different indices mean different amounts of bending, meaning that the colors get separated in the gemstone. That gives diamond its characteristic colorful sparkle.

If light containing a mixture of blue light and red light enters a diamond at an angle of 27 degrees with respect to the surface normal, the blue and red light will separate. What will be the angle ?D (in degrees) between the two rays in the interior of the diamond?

Diamond not only has a high index of refraction, but also has a great deal of dispersion, meaning that different colors of light see different indices of refraction. Red light, for example, sees an index of refraction of 2.41, while blue light sees an index of 2.45. Different indices mean different amounts of bending, meaning that the colors get separated in the gemstone. That gives diamond its characteristic colorful sparkle. If light containing a mixture of blue light and red light enters a diamond at an angle of 27 degrees with respect to the surface normal, the blue and red light will separate. What will be the angle ?D (in degrees) between the two rays in the interior of the diamond?

Explanation / Answer

for red

n1*sini1 = n2*sinr1

1*sin27 = 2.41*sinr1

r1 = 10.85

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for blue

n1*sini1 = n2'*sinr2

1*sin27 = 2.45*sinr2

r2 = 10.67

theta_D = r1 - r2 = 0.18 <---------answer

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