University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 16, Problem 82P
For red light of
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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 16 Solutions
University Physics Volume 2
Ch. 16 - Check Your Understanding When the emf across a...Ch. 16 - Check Your Understanding Could a purely electric...Ch. 16 - Check Your Understanding The wave equation was...Ch. 16 - Check Your Understanding What conclusions did our...Ch. 16 - Check Your Understanding How would the speed and...Ch. 16 - Check Your Understanding How do the...Ch. 16 - Explain how the displacement current maintains the...Ch. 16 - Describe the field lines of the induced magnetic...Ch. 16 - Why is it much easier to demonstrate in a student...Ch. 16 - If the electric field of an electromagnetic wave...
Ch. 16 - In which situation shown below will the...Ch. 16 - In which situation shown below will the...Ch. 16 - Under what conditions might wires in a circuit...Ch. 16 - Shown below is the interference pattern of two...Ch. 16 - When you stand outdoors in the sunlight, y can you...Ch. 16 - How does the intensity of an electromagnetic wave...Ch. 16 - What is the physical significance of the Poynting...Ch. 16 - A 2.0-mW helium-neon laser transmits a continuous...Ch. 16 - Why is t1 radiation pressure of an electromagnetic...Ch. 16 - Why did the early Hubble Telescope photos of...Ch. 16 - (a) If the electric field and magnetic field in a...Ch. 16 - Compare the speed, wavelength, and frequency of...Ch. 16 - Accelerating electric charge emits electromagnetic...Ch. 16 - Compare and contrast the meaning of the prefix...Ch. 16 - Part of the light passing through the air is...Ch. 16 - When a bowl of soup is removed from a microwave...Ch. 16 - Certain orientations of a broadcast television...Ch. 16 - What property of light corresponds to loudness in...Ch. 16 - Is the visible region a major portion of the...Ch. 16 - Can the human body detect electromagnetic...Ch. 16 - Radio waves normally have their E and B fields in...Ch. 16 - Give an example of resonance in the reception of...Ch. 16 - Illustrate that the size of details of an object...Ch. 16 - In which pan of the electromagnetic spectrum are...Ch. 16 - In what range of electromagnetic radiation are the...Ch. 16 - If a microwave oven could be modified to merely...Ch. 16 - A leaky microwave oven in a home can sometimes...Ch. 16 - When a television news anchor in a studio speaks...Ch. 16 - Show that the magnetic field at a distance r from...Ch. 16 - Express the displacement current in a capacitor in...Ch. 16 - A potential difference V(t) = V0sin tis maintained...Ch. 16 - Suppose the parallel-plate capacitor shown below...Ch. 16 - The potential difference V(t) between parallel...Ch. 16 - A parallel-plate capacitor has a plate area of...Ch. 16 - The voltage across a parallel-plate capacitor with...Ch. 16 - The voltage across a parallel-plate capacitor with...Ch. 16 - If the Sun suddenly turned off, we would not know...Ch. 16 - What is the maximum electric field strength in an...Ch. 16 - An electromagnetic wave has a frequency of 12 MHz....Ch. 16 - If electric and magnetic field strengths vary...Ch. 16 - The electric field of an electromagnetic wave...Ch. 16 - A plane electromagnetic wave of frequency 20 GHz...Ch. 16 - The following represents an electromagnetic wave...Ch. 16 - While outdoors on a sunny day, a student holds a...Ch. 16 - A plane electromagnetic wave travels northward. At...Ch. 16 - The electric field of an electromagnetic wave is...Ch. 16 - A radio station broadcasts at a frequency of 760...Ch. 16 - The filament in a clear incandescent light bulb...Ch. 16 - At what distance does a 100-W lightbulb produce...Ch. 16 - An incandescent light bulb emits only 2.6 W of its...Ch. 16 - A 150-W lightbulb emits 5% of its energy as...Ch. 16 - A small helium-neon laser has a power output of...Ch. 16 - At the top of Earth’s atmosphere, the...Ch. 16 - The magnetic field of a plane electromagnetic wave...Ch. 16 - What is the intensity of an electromagnetic wave...Ch. 16 - Assume the helium-neon lasers commonly used in...Ch. 16 - An AM radio transmitter broadcasts 50.0 kW of...Ch. 16 - Suppose the maximum safe intensity of microwaves...Ch. 16 - A 2.50-rn-diameter university communications...Ch. 16 - Lasers can be constructed that produce an...Ch. 16 - A 1-W lightbulb emits 5% of its energy as...Ch. 16 - What pressure does light emitted uniformly in all...Ch. 16 - A microscopic spherical dust particle of radius 2m...Ch. 16 - A Styrofoam spherical ball of radius 2 mm and mass...Ch. 16 - Suppose that S avg for sunlight at a point on the...Ch. 16 - reaches the ground with an intensity of about...Ch. 16 - Suppose a spherical particle of mass m and radius...Ch. 16 - How many helium atoms, each with a radius of about...Ch. 16 - If you wish to detect details of the size of atoms...Ch. 16 - Find the frequency range of visible light, given...Ch. 16 - (a) Calculate the wavelength range for AM radio...Ch. 16 - Radio station WWVB, operated by the National...Ch. 16 - An outdoor WIFi unit for a picnic area has a...Ch. 16 - The prefix “mega” (M) and “kilo” (k), when...Ch. 16 - A computer user finds that his wireless router...Ch. 16 - (a) The ideal size (most efficient) for a...Ch. 16 - What are the wavelengths of (a) X-rays of...Ch. 16 - For red light of =660nm , what are f,, and k?Ch. 16 - A radio transmitter broadcasts plane...Ch. 16 - (a) Two microwave frequencies authorized for use...Ch. 16 - During normal beating, the heart creates a maximum...Ch. 16 - Distances in space are often quoted in units of...Ch. 16 - A certain 60.0-Hz ac power line radiates an...Ch. 16 - (a) What is the frequency of the 193-nm...Ch. 16 - In a region of space, the electric field is...Ch. 16 - A microwave oven uses electromagnetic waves of...Ch. 16 - Galileo proposed measuring the speed of light by...Ch. 16 - Show that the wave equation in one dimension...Ch. 16 - On its highest power setting, a microwave oven...Ch. 16 - A certain microwave oven projects 1.00 kW of...Ch. 16 - E1ecmagnedc radiation from a 5.00-mW laser is...Ch. 16 - A 200-turn flat coil of wire 30.0 cm in diameter...Ch. 16 - Suppose a source of electromagnetic waves radiates...Ch. 16 - A radio station broadcasts its radio waves with a...Ch. 16 - The Poynting vector describes a flow of energy...Ch. 16 - The Sun’s energy strikes Earth at an intensity of...Ch. 16 - If a Lightsail spacecraft were sent on a Mars...Ch. 16 - Lunar astronauts placed a reflector on the Moon’s...Ch. 16 - Radar is used to determine distances to various...Ch. 16 - Calculate the ratio of the highest to lowest...Ch. 16 - How does the wavelength of radio waves for an AM...Ch. 16 - A parallel-plate capacitor with plate separation d...Ch. 16 - A particle of cosmic dust has a density =2.0g/cm3...
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