Answered: For 589-nm light, calculate the…

For 589-nm light, calculate the critical angle for the following materials surrounded by air. (a) diamond (n = 2.419) (b) crown glass (n = 1.52) (c) sodium chloride (n = 1.544)

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter1: The Nature Of Light

Section: Chapter Questions

Problem 56P: By how much do the critical angles for red (660 nm) and violet (410 nm) light differ in a diamond...

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Question

Ch. 34

For 589-nm light, calculate the critical angle for the following materials surrounded by air.
(a) diamond (n = 2.419)
(b) crown glass (n = 1.52)
(c) sodium chloride (n = 1.544)

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Light enters a prism of crown glass and refracts at an angle of 5.00 with respect to the normal at the interface. The crown glass has a mean index of refraction of 1.51. It is combined with one flint glass prism (n = 1.65) to produce no net deviation. a. Find the apex angle of the flint glass. b. Assume the index of refraction for violet light (v = 430 nm) is nv = 1.528 and the index of refraction for red light (r = 768 nm) is nr = 1.511 for crown glass. For flint glass using the same wavelengths, nv = 1.665 and nr = 1.645. Find the net dispersion.
By how much do the critical angles for red (660 nm) and violet (410 nm) light differ in a diamond surrounded by air?
The index of refraction for crown glass is 1.512 at a wavelength of 660 nm (red), whereas its index of refraction is 1.530 at a wavelength of 410 nm (violet). If both wavelengths are incident on a slab of crown glass at the same angle of incidence, 60.0, what is the angle of refraction for each wavelength?
A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00-cm-thick flat piece of crown glass and back to air again. The beam strikes at a 30.0incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?
A narrow beam of white light enters a prism made of crown glass at a 45.0° incident angle, as shown in Figure 25.57. At what angles, R and V, do the red (660 nm) and violet (410 nm) components of the light emerge from the prism? Figure 25.57 This prism will disperse the while light into a rainbow of colors. The incident angle is 45.0°, and the angles at which the red and violet light emerge are R and V.
For 589-nm light, calculate the critical angle for the following materials surrounded by air. (a) cubic zirconia (n = 2.20) (b) crown glass (n = 1.52) (c) polystyrene (n = 1.49)
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