Concept explainers
The angular spread of visible light passing through a prism.
Answer to Problem 25P
The angular spread of visible light passing through a prism is
Explanation of Solution
Given Info:
Write the expression for snell’s law for prism to calculate angle of refraction for red light.
Here,
Substitute
Write the expression for snell’s law,
Here,
Substitute
Write the expression for snell’s law for prism to calculate angle of refraction for violet light.
Here,
Substitute
Write the expression for Snell's law.
Here,
Substitute
Write the expression for angular spread of visible light,
Here,
Substitute
Conclusion:
Therefore, the angular spread of visible light passing through a prism is
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Chapter 34 Solutions
Physics for Scientists and Engineers with Modern Physics
- How many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33arrow_forwardConsider a beam of light from the left entering a prism of apex angle as shown in Figure P34.34. Two angles of incidence, 1, and 3, are shown as Hell as two angles of refraction, 2 and 4. Show that = 1 + 3. Figure P34.34arrow_forwardFigure P23.28 shows a curved surface separating a material with index of refraction n1 from a material with index n2. The surface forms an image I of object O. The ray shown in red passes through the surface along a radial line. Its angles of incidence and refraction are both zero, so its direction does not change at the surface. For the ray shown in blue, the direction changes according to n1 sin 1 = n2 sin 2. For paraxial rays, we assume 1 and 2 are small, so we may write n1 tan 1 n2 tan 2. The magnification is defined as M = h/h. Prove that the magnification is given by M = n1q/n2p. Figure P23.28arrow_forward
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