University Physics with Modern Physics, Volume 1 (Chs. 1-20) (14th Edition)
14th Edition
ISBN: 9780133978049
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 33, Problem 33.14E
To determine
The angle made by the refracted ray in the glass with respect to the normal.
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Sketch the harmonic.
Chapter 33 Solutions
University Physics with Modern Physics, Volume 1 (Chs. 1-20) (14th Edition)
Ch. 33.1 - Some crystals are not isotropic: Light travels...Ch. 33.2 - You are standing on the shore of a lake. You spot...Ch. 33.3 - In which of the following situations is there...Ch. 33.5 - You are taking a photograph of a sunlit office...Ch. 33.7 - Sound travels faster in warm air than in cold air....Ch. 33 - Light requires about 8 minutes to travel from the...Ch. 33 - Sunlight or starlight passing through the earths...Ch. 33 - A beam of light goes from one material into...Ch. 33 - Prob. 33.4DQCh. 33 - Prob. 33.5DQ
Ch. 33 - Devise straightforward experiments to measure the...Ch. 33 - Prob. 33.7DQCh. 33 - Prob. 33.8DQCh. 33 - A ray of light in air strikes a glass surface. Is...Ch. 33 - When light is incident on an interface between two...Ch. 33 - A salesperson at a bargain counter claims that a...Ch. 33 - Does it make sense to talk about the polarization...Ch. 33 - How can you determine the direction of the...Ch. 33 - It has been proposed that automobile windshields...Ch. 33 - When a sheet of plastic food wrap is placed...Ch. 33 - If you sit on the beach and look at the ocean...Ch. 33 - When unpolarized light is incident on two crossed...Ch. 33 - For the old rabbit-ear style TV antennas, its...Ch. 33 - In Fig. 33.31, since the light that is scattered...Ch. 33 - You are sunbathing in the late afternoon when the...Ch. 33 - Light scattered from blue sky is strongly...Ch. 33 - Atmospheric haze is due to water droplets or smoke...Ch. 33 - Prob. 33.23DQCh. 33 - Prob. 33.24DQCh. 33 - Prob. 33.25DQCh. 33 - Prob. 33.1ECh. 33 - BIO Light Inside the Eye. The vitreous humor, a...Ch. 33 - A beam of light has a wavelength of 650 nm in...Ch. 33 - Light with a frequency of 5.80 1014 Hz travels in...Ch. 33 - A light beam travels at 1.94 108 m/s in quartz....Ch. 33 - Prob. 33.6ECh. 33 - A parallel beam of light in air makes an angle of...Ch. 33 - Prob. 33.8ECh. 33 - Light traveling in air is incident on the surface...Ch. 33 - (a) A tank containing methanol has walls 2.50 cm...Ch. 33 - Prob. 33.11ECh. 33 - A horizontal, parallel-sided plate of glass having...Ch. 33 - A ray of light is incident on a plane surface...Ch. 33 - Prob. 33.14ECh. 33 - Section 33.3 Total Internal Reflection 33.15Light...Ch. 33 - A flat piece of glass covers the top of a vertical...Ch. 33 - The critical angle for total internal reflection...Ch. 33 - A beam of light is traveling inside a solid glass...Ch. 33 - A ray of light is traveling in a glass cube that...Ch. 33 - Prob. 33.20ECh. 33 - Prob. 33.21ECh. 33 - The indexes of refraction for violet light ( = 400...Ch. 33 - A narrow beam of white light strikes one face of a...Ch. 33 - A beam of light strikes a sheet of glass at an...Ch. 33 - Unpolarized light with intensity I0 is incident on...Ch. 33 - (a) At what angle above the horizontal is the sun...Ch. 33 - A beam of unpolarized light of intensity I0 passes...Ch. 33 - Light of original intensity I0 passes through two...Ch. 33 - A parallel beam of unpolarized light in air is...Ch. 33 - The refractive index of a certain glass is 1.66....Ch. 33 - A beam of polarized light passes through a...Ch. 33 - Three polarizing filters are stacked, with the...Ch. 33 - Unpolarized light of intensity 20.0 W/cm2 is...Ch. 33 - Three Polarizing Filters. Three polarizing filters...Ch. 33 - A beam of white light passes through a uniform...Ch. 33 - A light beam is directed parallel to the axis of a...Ch. 33 - BIO Heart Sonogram. Physicians use high-frequency...Ch. 33 - In a physics lab, light with wavelength 490 nm...Ch. 33 - Prob. 33.39PCh. 33 - Prob. 33.40PCh. 33 - A ray of light traveling in a block of glass (n =...Ch. 33 - A ray of light traveling in air is incident at...Ch. 33 - A glass plate 2.50 mm thick, with an index of...Ch. 33 - After a long day of driving you take a late-night...Ch. 33 - You sight along the rim of a glass with vertical...Ch. 33 - Prob. 33.46PCh. 33 - A thin layer of ice (n = 1.309) floats on the...Ch. 33 - Prob. 33.48PCh. 33 - Prob. 33.49PCh. 33 - Light is incident normally on the short face of a...Ch. 33 - Prob. 33.51PCh. 33 - Prob. 33.52PCh. 33 - Prob. 33.53PCh. 33 - Prob. 33.54PCh. 33 - Prob. 33.55PCh. 33 - A thin beam of white light is directed at a flat...Ch. 33 - DATA In physics lab, you are studying the...Ch. 33 - Prob. 33.58PCh. 33 - DATA A beam of light traveling horizontally is...Ch. 33 - Prob. 33.60CPCh. 33 - Prob. 33.61CPCh. 33 - First, light with a plane of polarization at 45 to...Ch. 33 - Next unpolarized light is reflected off a smooth...Ch. 33 - To vary the angle as well as the intensity of...
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