A beam of white light is incident on the surface of a diamond atan angle ?a.(Figure 1) Since the index of refractiondepends on the light's wavelength, the different colors thatcomprise white light will spread out as they pass through thediamond. The indices of refraction in diamond arenred=2.410 for red light and nblue=2.450 for bluelight. The surrounding air has nair=1.000. Note that theangles in the figure are not to scale.

Derive a formula for ?, the angle between the red andblue refracted rays in the diamond.

Express the angle in terms of nred, nblue, and?a. Use nair=1. Remember that the proper way toenter the inverse sine of x in this case is asin(x).

 

Transcribed Image Text:

Oplue Ored Oplue Ored

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Answer Question 1 Derive a Formula for We can use the law of refraction to derive a formula for the angle between the red and blue refracted rays in t... View the full answer