Question

A horizontal light beam is incident on a prism as in the figure. The angles A of the prism. are 45 degree, the index of refraction of the prism is n, while the index of refraction of air is approximately 1. 1. Draw the light beam as it travels through the prism. 2. Calculate the angle between the initial direction of the light beam and its direction after the first diffraction. 3. Calculate the angle between the initial direction of the light beam and its direction after the second diffraction. 4. If the wavelength of the light in air is lambda_0, what is its frequency in air? 5. What are its frequency and wavelength inside the prism? 6. Now assume that, instead, the beam is composed of white light and that the index of refraction of the prism is dependent on the wavelength. In particular, assume that the index of refraction is greater for longer lambda. What happens to the beam after the two diffractions? Explain in no more than a few words. 7. Which color of the rainbow comes out of the prism toward the positive y direction and which one comes out toward the negative y direction?

Answer 1

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