A beam of white light is incident on the surface of a diamond at an angle θa�a.(Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. The indices of refraction in diamond are nred=2.410�red=2.410 for red light and nblue=2.450�blue=2.450 for blue light. The surrounding air has nair=1.000�air=1.000. Note that the angles in the figure are not to scale.

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Chapter1: The Study Of Motion
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A beam of white light is incident on the surface of a diamond at an angle θa�a.(Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. The indices of refraction in diamond are nred=2.410�red=2.410 for red light and nblue=2.450�blue=2.450 for blue light. The surrounding air has nair=1.000�air=1.000. Note that the angles in the figure are not to scale.

Part C
Derive a formula for 8, the angle between the red and blue refracted rays in the diamond.
Express the angle in terms of nred, blue, and a. Use nair = 1. Note that any trig function entered in your answer must be followed by an argument in parentheses.
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for Part C for Part C
vec
sin
6= sin
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air
nred
do for Part
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sin
redo for eart C reset or Part C keyboard shortcuts for Part C help for Part C
sin
air
n blue
Transcribed Image Text:Part C Derive a formula for 8, the angle between the red and blue refracted rays in the diamond. Express the angle in terms of nred, blue, and a. Use nair = 1. Note that any trig function entered in your answer must be followed by an argument in parentheses. ► View Available Hint(s) for Part C for Part C vec sin 6= sin Submit air nred do for Part Previous Answers sin redo for eart C reset or Part C keyboard shortcuts for Part C help for Part C sin air n blue
Figure
0₂₁
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Øred
Transcribed Image Text:Figure 0₂₁ Oplue 0. Øred
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