(a) A narrow beam of light is incident on the left side of the prism shown in the figure below. The prism is a right triangle, with two of its angles measuring 45°. The transmitted beam that exits the hypotenuse of the prism makes an angle of = 18.5° with the direction of the incident beam. What is the index of refraction of the prism? (Round your answer to at least two decimal places.) 1.27 45.0° (b) What If? In part (a), we assumed the beam was monochromatic. Consider instead the case where the beam was composed of white light. Because the index of refraction differs for different wavelengths, the white light would be dispersed into constituent colors. Assume the index of refraction for blue wavelengths is 1.01n and for red wavelengths it is 0.99n, where n is the index of refraction found in part (a). What is the angular spread (in degrees) between red and blue light exiting the prism? 1.85 Using the index of refraction found in part (a), can you apply Snell's law to find the refraction angle of the red light? Of the blue light? What is the angle between them? ° Need Help? Read It

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(a) A narrow beam of light is incident on the left side of the prism shown in the figure below. The prism is a right triangle, with two of its angles measuring 45°. The transmitted beam that exits
the hypotenuse of the prism makes an angle of = 18.5° with the direction of the incident beam. What is the index of refraction of the prism? (Round your answer to at least two decimal
places.)
1.27
45.0°
(b) What If? In part (a), we assumed the beam was monochromatic. Consider instead the case where the beam was composed of white light. Because the index of refraction differs for different
wavelengths, the white light would be dispersed into constituent colors. Assume the index of refraction for blue wavelengths is 1.01n and for red wavelengths it is 0.99n, where n is the index
of refraction found in part (a). What is the angular spread (in degrees) between red and blue light exiting the prism?
1.85
Using the index of refraction found in part (a), can you apply Snell's law to find the refraction angle of the red light? Of the blue light? What is the angle between them? °
Need Help? Read It
Transcribed Image Text:(a) A narrow beam of light is incident on the left side of the prism shown in the figure below. The prism is a right triangle, with two of its angles measuring 45°. The transmitted beam that exits the hypotenuse of the prism makes an angle of = 18.5° with the direction of the incident beam. What is the index of refraction of the prism? (Round your answer to at least two decimal places.) 1.27 45.0° (b) What If? In part (a), we assumed the beam was monochromatic. Consider instead the case where the beam was composed of white light. Because the index of refraction differs for different wavelengths, the white light would be dispersed into constituent colors. Assume the index of refraction for blue wavelengths is 1.01n and for red wavelengths it is 0.99n, where n is the index of refraction found in part (a). What is the angular spread (in degrees) between red and blue light exiting the prism? 1.85 Using the index of refraction found in part (a), can you apply Snell's law to find the refraction angle of the red light? Of the blue light? What is the angle between them? ° Need Help? Read It
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