The prism in the figure below is made of glass with an index of refraction of 1.52 for blue light and 1.47 for red light. Find ?R, the angle of deviation for red light, and ?B, the angle of deviation for blue light, if white light is incident on the prism at an angle of 30.0°. (Enter your answers in degrees.) HINT A horizontal beam of white light approaches from the left the hypotenuse of a right-triangular prism that has a horizontal base, which makes a 60.0° angle with the hypotenuse. The beam of white light is incident on the hypotenuse at an angle of 30.0° to the normal of the hypotenuse. Upon entering the prism, the beam of white light splits into two rays: The upper, red ray moves down and to the right, is incident on the vertical leg of the prism, and exits the prism down and to the right at a steeper slope than in the prism, and at an angle ?R to the horizontal. The lower, blue ray moves down and to the right at a steeper slope than the red ray, is incident on the vertical leg of the prism, and exits the prism down and to the right at a steeper slope than in the prism, and at an angle ?B to the horizontal, where ?B > ?R. (a) ?R, the angle of deviation for red light ° (b) ?B, the angle of deviation for blue light

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The prism in the figure below is made of glass with an index of refraction of 1.52 for blue light and 1.47 for red light. Find ?_R, the angle of deviation for red light, and ?_B, the angle of deviation for blue light, if white light is incident on the prism at an angle of 30.0°. (Enter your answers in degrees.)

HINT

A horizontal beam of white light approaches from the left the hypotenuse of a right-triangular prism that has a horizontal base, which makes a 60.0° angle with the hypotenuse. The beam of white light is incident on the hypotenuse at an angle of 30.0° to the normal of the hypotenuse. Upon entering the prism, the beam of white light splits into two rays:

The upper, red ray moves down and to the right, is incident on the vertical leg of the prism, and exits the prism down and to the right at a steeper slope than in the prism, and at an angle ?_R to the horizontal.
The lower, blue ray moves down and to the right at a steeper slope than the red ray, is incident on the vertical leg of the prism, and exits the prism down and to the right at a steeper slope than in the prism, and at an angle ?_B to the horizontal, where ?_B > ?_R.

(a)

?_R, the angle of deviation for red light

(b)

?_B, the angle of deviation for blue light

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