Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 23.3, Problem 1cTH
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To explain: Period
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QUESTION 24
For a diatomic linear chain, the phonon dispersion relation ® (k) has two branches corresponding to +
and-sign respectively:
4
(M₂ + M₂) ± s [(m₂ + M₂) ² - x^²µm²
sin²
M₁M₂
There are two atoms in the unit cell with masses and M2 and the force constant of nearest
is kept constant. The velocity of
neighbor interaction is F and the effective mass, =
sound will be:
A)
B)
NIP
C) a
D)
M₁ + M₁
2(M₁+M₁)
M₁ + M₁
w (k) = f
M₁
M₁M₂
M₂+M₂
1/2
qa
Current Attempt in Progress
Consider the freight train in Figure below. Suppose 21 boxcars pass by in a time of 15.8 s and each has a length of 12.0 m.(a) What is
the frequency at which each boxcar passes? (b) What is the speed of the train?
The time.
for one car to
pass is the
period T
Velocity = v
Wavelength = -
(a) Number
i
Units
(b) Number
Units
96
6.
t.
b
m
00
Obtain the sign y (t) = x (t) * x (t) * x (t) for x (t) = u (t - 2) --u (t + 2) and plot both signals. What is the relationship between the time bands of the x (t) and y (t) signals? Explain.
Chapter 23 Solutions
Tutorials in Introductory Physics
Ch. 23.1 - Prob. 1THCh. 23.1 - In the spaces provided belowright, carefully draw...Ch. 23.1 - Prob. 2bTHCh. 23.1 - We begin by considering the forces exerted on a...Ch. 23.1 - Prob. 3bTHCh. 23.1 - Prob. 3cTHCh. 23.1 - Prob. 3dTHCh. 23.1 - Prob. 3eTHCh. 23.1 - Prob. 4THCh. 23.2 - Prob. 1TH
Ch. 23.2 - Prob. 2aTHCh. 23.2 - Prob. 2bTHCh. 23.2 - Prob. 2cTHCh. 23.2 - Prob. 3aTHCh. 23.2 - Prob. 3bTHCh. 23.2 - Prob. 3cTHCh. 23.2 - The figure at right has several errors. How many...Ch. 23.3 - Prob. 1aTHCh. 23.3 - Prob. 1bTHCh. 23.3 - Prob. 1cTHCh. 23.3 - For each of the periodic functions below, indicate...Ch. 23.3 - Prob. 2THCh. 23.3 - Use trigonometry to determine the mathematical...Ch. 23.3 - Starting from the equation that you wrote above,...Ch. 23.3 - Suppose the speed of the refracted wave were half...Ch. 23.3 - Prob. 3dTHCh. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - A long, thin steel wire is cut in half, and each...Ch. 23.4 - Consider an instant when the fields are nonzero at...Ch. 23.4 - How would your answers to parta be different if...Ch. 23.4 - Prob. 3TH
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