Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 24.1, Problem 3aTH
To determine
To sketch how the image of the crescent moon be formed by the pin-hole of different sizes.
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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 24 Solutions
Tutorials in Introductory Physics
Ch. 24.1 - On the diagram, sketch what you would see on the...Ch. 24.1 - The small bulb is replaced by three longfilament...Ch. 24.1 - The three longfilament bulbs are replaced by a...Ch. 24.1 - Predict the size and shape of the shadow that will...Ch. 24.1 - Is it possible to place the bulb in another...Ch. 24.1 - Prob. 2cTHCh. 24.1 - Prob. 2dTHCh. 24.1 - Prob. 3aTHCh. 24.1 - A student is looking at the building shown at...Ch. 24.1 - Prob. 4aTH
Ch. 24.1 - Suppose that this student were walking through the...Ch. 24.2 - The top view diagrams at right were drawn by a...Ch. 24.2 - Draw a ray diagram to determine the location of...Ch. 24.2 - Describe how you could use a ray diagram to...Ch. 24.2 - A pencil is placed in front of a plane mirror as...Ch. 24.2 - Prob. 3bTHCh. 24.3 - Prob. 1aTHCh. 24.3 - A pin is placed in front of a semicylindrical...Ch. 24.3 - Prob. 1cTHCh. 24.3 - Prob. 2aTHCh. 24.3 - A very small, very bright bulb is placed for from...Ch. 24.4 - The following are top view diagrams of solid...Ch. 24.4 - The following are top view diagrams of solid...Ch. 24.4 - The following are top view diagrams of solid...Ch. 24.4 - The following are top view diagrams of solid...Ch. 24.4 - Prob. 2THCh. 24.4 - Prob. 3aTHCh. 24.4 - Prob. 3bTHCh. 24.4 - Is the image(s) of the nail real or virtual?...Ch. 24.5 - Suppose that the bulb is placed as shown. Using...Ch. 24.5 - Prob. 1bTHCh. 24.5 - Prob. 1cTHCh. 24.5 - Prob. 1dTHCh. 24.5 - Prob. 2aTHCh. 24.5 - Treat the image produced by lens 1 as an object...Ch. 24.5 - Repeat parts a andb for the case in which lens 2...Ch. 24.6 - Reproduced below is a side view diagram of the...Ch. 24.6 - In section III of the tutorial Magnification, you...Ch. 24.6 - Two thin convex lenses and an object are arranged...Ch. 24.6 - Prob. 3bTHCh. 24.6 - Two thin convex lenses and an object are arranged...Ch. 24.6 - Prob. 3dTHCh. 24.6 - Two thin convex lenses and an object are arranged...
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