Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 32, Problem 4P
(a)
To determine
Object distance for which concave mirror will produce an upright image.
(b)
To determine
Object distance for which convex mirror will produce a virtual image.
(c)
To determine
Object distance for which convex mirror will produce an image smaller than object.
(d)
To determine
Object distance for which convex mirror will produce an image larger than the object.
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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 32 Solutions
Physics for Scientists and Engineers, Vol. 1
Ch. 32 - Prob. 1PCh. 32 - Prob. 2PCh. 32 - Prob. 3PCh. 32 - Prob. 4PCh. 32 - Prob. 5PCh. 32 - Prob. 6PCh. 32 - Prob. 7PCh. 32 - Prob. 8PCh. 32 - Prob. 9PCh. 32 - Prob. 10P
Ch. 32 - Prob. 11PCh. 32 - Prob. 12PCh. 32 - Prob. 13PCh. 32 - Prob. 14PCh. 32 - Prob. 15PCh. 32 - Prob. 16PCh. 32 - Prob. 17PCh. 32 - Prob. 18PCh. 32 - Prob. 19PCh. 32 - Prob. 20PCh. 32 - Prob. 21PCh. 32 - Prob. 22PCh. 32 - Prob. 23PCh. 32 - Prob. 24PCh. 32 - Prob. 25PCh. 32 - Prob. 26PCh. 32 - Prob. 27PCh. 32 - Prob. 28PCh. 32 - Prob. 29PCh. 32 - Prob. 30PCh. 32 - Prob. 31PCh. 32 - Prob. 32PCh. 32 - Prob. 33PCh. 32 - Prob. 34PCh. 32 - Prob. 35PCh. 32 - Prob. 36PCh. 32 - Prob. 37PCh. 32 - Prob. 38PCh. 32 - Prob. 39PCh. 32 - Prob. 40PCh. 32 - Prob. 41PCh. 32 - Prob. 42PCh. 32 - Prob. 43PCh. 32 - Prob. 44PCh. 32 - Prob. 45PCh. 32 - Prob. 46PCh. 32 - Prob. 47PCh. 32 - Prob. 48PCh. 32 - Prob. 49PCh. 32 - Prob. 50PCh. 32 - Prob. 51PCh. 32 - Prob. 54PCh. 32 - Prob. 55PCh. 32 - Prob. 56PCh. 32 - Prob. 57PCh. 32 - Prob. 58PCh. 32 - Prob. 59PCh. 32 - Prob. 60PCh. 32 - Prob. 61PCh. 32 - Prob. 62PCh. 32 - Prob. 63PCh. 32 - Prob. 64PCh. 32 - Prob. 65PCh. 32 - Prob. 66PCh. 32 - Prob. 67PCh. 32 - Prob. 68PCh. 32 - Prob. 69PCh. 32 - Prob. 70PCh. 32 - Prob. 71PCh. 32 - Prob. 72PCh. 32 - Prob. 73PCh. 32 - Prob. 74PCh. 32 - Prob. 75PCh. 32 - Prob. 76PCh. 32 - Prob. 77PCh. 32 - Prob. 78PCh. 32 - Prob. 79PCh. 32 - Prob. 80PCh. 32 - Prob. 81PCh. 32 - Prob. 82PCh. 32 - Prob. 83PCh. 32 - Prob. 84PCh. 32 - Prob. 85PCh. 32 - Prob. 86PCh. 32 - Prob. 87PCh. 32 - Prob. 88PCh. 32 - Prob. 89PCh. 32 - Prob. 90PCh. 32 - Prob. 91PCh. 32 - Prob. 92PCh. 32 - Prob. 93PCh. 32 - Prob. 94PCh. 32 - Prob. 95PCh. 32 - Prob. 96PCh. 32 - Prob. 97PCh. 32 - Prob. 98PCh. 32 - Prob. 99PCh. 32 - Prob. 100PCh. 32 - Prob. 101PCh. 32 - Prob. 102PCh. 32 - Prob. 103PCh. 32 - Prob. 104PCh. 32 - Prob. 105PCh. 32 - Prob. 106PCh. 32 - Prob. 107P
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