College Physics: A Strategic Approach (4th Edition)
4th Edition
ISBN: 9780134609034
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 19, Problem 34P
To determine
The focal length of the objective lens needed to give an overall magnification of 200 ×
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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
an inverted U. The vertical rods each have a mass m; the horizontal
rod has a mass 3m.
NOTE: Express your answer in terms of the variables given.
(a) What is the x coordinate of the system's center of mass?
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(b) What is the y coordinate of the system's center of mass?
Ycom
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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 19 Solutions
College Physics: A Strategic Approach (4th Edition)
Ch. 19 - On a sunny summer day, with the sun overhead, you...Ch. 19 - Suppose you have two pinhole cameras. The first...Ch. 19 - A photographer focuses his camera on his subject....Ch. 19 - The object for a magnifier is usually placed very...Ch. 19 - A nature photographer taking a close-up shot of an...Ch. 19 - The CCD detector in a certain camera has a width...Ch. 19 - All humans have what is known as a blind spot,...Ch. 19 - Suppose you wanted special glasses designed to...Ch. 19 - You have lenses with the following focal lengths:...Ch. 19 - A friend lends you the eyepiece of his microscope...
Ch. 19 - A student makes a microscope using an objective...Ch. 19 - Prob. 17CQCh. 19 - Prob. 18CQCh. 19 - A microscope has a tube length of 20 cm. What...Ch. 19 - The distance between the objective and eyepiece of...Ch. 19 - A nearsighted person has a near point of 20 cm and...Ch. 19 - A nearsighted person has a near point of 20 cm and...Ch. 19 - A 60-year-old man has a near point of 100 cm,...Ch. 19 - Prob. 25MCQCh. 19 - Prob. 26MCQCh. 19 - An amateur astronomer looks at the moon through a...Ch. 19 - Prob. 1PCh. 19 - A student has built a 20-cm-long pinhole camera...Ch. 19 - A pinhole camera is made from an 80-cm-long box...Ch. 19 - Prob. 4PCh. 19 - A photographer uses his camera, whose lens has a...Ch. 19 - Prob. 6PCh. 19 - An older camera has a lens with a focal length of...Ch. 19 - Prob. 8PCh. 19 - In Figure P19.6 the camera lens has a 50 mm focal...Ch. 19 - Prob. 10PCh. 19 - Prob. 11PCh. 19 - Prob. 12PCh. 19 - Prob. 14PCh. 19 - Prob. 16PCh. 19 - A farsighted person has a near point of 50 cm...Ch. 19 - Prob. 18PCh. 19 - A nearsighted woman has a far point of 300 cm....Ch. 19 - Prob. 20PCh. 19 - Martin has severe myopia, with a far point of only...Ch. 19 - Prob. 22PCh. 19 - Rank the following people from the most...Ch. 19 - Prob. 24PCh. 19 - Prob. 25PCh. 19 - Prob. 26PCh. 19 - Prob. 27PCh. 19 - Prob. 28PCh. 19 - The diameter of a penny is 19 mm. How far from...Ch. 19 - Prob. 30PCh. 19 - A magnifier has a magnification of 5. How far from...Ch. 19 - Prob. 32PCh. 19 - Prob. 33PCh. 19 - Prob. 34PCh. 19 - A forensic scientist is using a standard...Ch. 19 - A microscope with an 8.0-mm-focal-length objective...Ch. 19 - Prob. 37PCh. 19 - Prob. 38PCh. 19 - For the combination of two identical lenses shown...Ch. 19 - For the combination of two lenses shown in Figure...Ch. 19 - A researcher is trying to shoot a tranquilizer...Ch. 19 - The objective lens of the refracting telescope at...Ch. 19 - You use your 8 binoculars to focus on a...Ch. 19 - Prob. 44PCh. 19 - A narrow beam of light with wavelengths from 450...Ch. 19 - Prob. 47PCh. 19 - A ray of red light, for which n = 1.54, and a ray...Ch. 19 - Two lightbulbs are 1.0 m apart. From what distance...Ch. 19 - A 1.0-cm-diameter microscope objective has a focal...Ch. 19 - A microscope with an objective of focal length 1.6...Ch. 19 - Jason uses a lens with a focal length of 10.0 cm...Ch. 19 - A magnifier is labeled 5. What would its...Ch. 19 - A 20 microscope objective is designed for use in...Ch. 19 - Two converging lenses with focal lengths of 40 cm...Ch. 19 - A converging lens with a focal length of 40 cm and...Ch. 19 - A lens with a focal length of 25 cm is placed 40...Ch. 19 - A microscope with a 5 objective lens images a...Ch. 19 - Prob. 62GPCh. 19 - The objective lens and the eyepiece lens of a...Ch. 19 - Your telescope has an objective lens with a focal...Ch. 19 - Martha is viewing a distant mountain with a...Ch. 19 - Susan is quite nearsighted; without her glasses,...Ch. 19 - A spy satellite uses a telescope with a...Ch. 19 - Two stars have an angular separation of 3.3 105...Ch. 19 - Frank is nearsighted and his glasses require a...Ch. 19 - What is the angular resolution of the Hubble Space...Ch. 19 - The Hubble Space Telescope has a mirror diameter...Ch. 19 - Once dark adapted, the pupil of your eye is...Ch. 19 - The normal human eye has maximum visual acuity...Ch. 19 - Prob. 75GPCh. 19 - Light that enters your eyes is focused to form an...Ch. 19 - Light that enters your eyes is focused to form an...Ch. 19 - Light that enters your eyes is focused to form an...
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