Question

The index of refraction for a certain type of glass is 1.6451.645 for blue light and 1.6051.605 for red light. When a beam of white light (one that contains all colors) enters a plate of glass from the air at an incidence angle of 40.05∘,40.05∘, what is the absolute value of ?,δ, the angle in the glass between blue and red parts of the refracted beams?

?=δ=

Answer 1

Using Snell's law,

n1 sin(i) = n2 sin(r)

For blue light,

1.645 x sin(i) = 1 x sin(40.05)

Angle, i = 23.03°

For red light,

1.605 sin(i) = 1 sin(40.05)

Angle, i = 23.63°

Difference = 23.63 - 23.03 = 0.605°

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