Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 25.6, Problem 1aTH
Recall the situation from tutorial, in which light of frequency
The cross−sectional side view diagram at right extends the ray diagram that you drew in tutorial. It shows the incident ray and several sets of rays resulting from transmission and reflection at the first (left) and second (right) boundaries. The ray that results from the second reflection from the second (right) boundary is not shown.
For the remainder of this problem, assume that the light is incident from the left side of the film at essentially normal incidence.
- For the two rays that pass through the second boundary and into the air, what are the three smallest film thicknesses for which these rays would:
- Constructively interfere? Explain.
- Destructively interfere? Explain.
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Question 3 of 17
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In the figure above, three uniform thin rods, each of length L, form
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NOTE: Express your answer in terms of the variables given.
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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
Chapter 25 Solutions
Tutorials in Introductory Physics
Ch. 25.1 - The top view diagram at right illustrates two...Ch. 25.1 - The top view diagram at right illustrates two...Ch. 25.1 - Label each nodal line and line of maximum...Ch. 25.1 - Prob. 2bTHCh. 25.1 - How do the angles a and ß compare? Explain.Ch. 25.1 - Prob. 3bTHCh. 25.1 - Prob. 3cTHCh. 25.1 - The enlarged diagram at right illustrates the...Ch. 25.1 - For what values of D (in terms of ) will there be:...Ch. 25.1 - Use your answers from parts d and e to write...
Ch. 25.1 - Determine the angles for which there will be nodal...Ch. 25.1 - Consider the following incorrect statement...Ch. 25.2 - In the space above the photograph at right,...Ch. 25.2 - The screen is 2.2m from the slits, and the...Ch. 25.2 - Suppose that the width of the right slit were...Ch. 25.2 - The graph of intensity versus angle at right...Ch. 25.3 - The photograph at right illustrates the pattern...Ch. 25.3 - The photograph at right illustrates the pattern...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Consider the original doubleslit pattern from...Ch. 25.3 - Prob. 3aTHCh. 25.3 - Monochromatic light from a distant point source...Ch. 25.4 - Light from a distant point source is incident on a...Ch. 25.4 - The graph at right shows the intensity on a...Ch. 25.4 - The graph at right shows the intensity on a...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.4 - There is a systematic way of determining the...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Light from a laser (=633nm) is incident on two...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.5 - Monochromatic light from a distant point source is...Ch. 25.6 - Recall the situation from tutorial, in which light...Ch. 25.6 - Recall the situation from tutorial, in which light...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.6 - A plate of glass (n=1.5) is placed over a flat...Ch. 25.7 - Identical beams of light are incident on three...Ch. 25.7 - Prob. 1bTHCh. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized light of intensity I0 incident on a...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...Ch. 25.7 - Unpolarized red light is incident on two...
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