Print Assignment: Chap16&Chap17 ::false
第 1 頁，共 8 頁
Chap16&Chap17
1. Test Bank, Question 6
Three traveling sinusoidal waves are on identical strings, with the same tension. The mathematical forms of the waves
are y1(x,t) = ymsin(3x – 6t), y2(x,t) = ymsin(4x – 8t), and y3(x,t) = ymsin(6x – 12t), where x is in meters and t is in
seconds. Match each mathematical form to the appropriate graph below.
y1: i, y2: ii, y3: iii
y1: ii, y2: i, y3: iii
y1: iii, y2: i, y3: ii
y1: iii, y2: ii, y3: i
y1:i, y2: iii, y3: ii
2. Test Bank, Question 13
For a transverse wave on a string the string displacement is described by y(x,t) = f(x–at) where f is a given function
and a is a positive constant. Which of the following does NOT necessarily follow from this statement?
The shape of the string at time t = 0 is given by f(x).
The shape of the waveform does not change as it moves along the string.
The waveform moves in the positive x direction.
The speed of the waveform is a.
The speed of the waveform is x/t.
3. *Chapter 16, Problem 7
A transverse sinusoidal wave is moving along a string in the positive direction of an x axis with a speed of 87 m/s. At t =
0, the string particle at x = 0 has a transverse displacement of 4.4 cm from its equilibrium position and is not moving.
The maximum transverse speed of the string particle at x = 0 is 20 m/s. (a) What is the frequency of the wave? (b)
What is the wavelength of the wave? If the wave equation is of the form y(x, t) = ym sin(kx ± ωt + φ), what are (c)ym,
(d)k, (e)ω, (f)φ, and (g) the correct choice of sign in front of ω (1 depicts "+" and 0 depicts "-")?
(a) Number
72.343155950862
(b) Number
1.202601667794
(c) Number
0.044
Units Hz
Units m
Units m
(d) Number
5.224660397074
(e) Number
454.545454545455
(f) Number
1.570796326795
(g)
Units rad/m or m^-1
Units rad/s
Units rad
0
http://edugen.wileyplus.com/edugen/shared/assignment/test/agprint.uni?numberQuest=true&title... 2011/12/21
Print Assignment: Chap16&Chap17 ::false
第 2 頁，共 8 頁
4. *Chapter 16, Problem 13
A sinusoidal wave of frequency 350 Hz has a speed of 320 m/s. (a) How far apart are two points that differ in phase by
/8 rad? (b) What is the phase difference between two displacements at a certain point at times 2.7 ms apart?
(a) Number
0.057142857143
Units m
(b) Number
5.937610115285
Units rad
5. *Chapter 16, Problem 23
A sinusoidal transverse wave is traveling along a string in the negative direction of an x axis. Figure 16-34 shows a plot
of the displacement as a function of position at time t = 0; the y intercept is 4.0 cm. The string tension is 3.8 N, and its
linear density is 31 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave. (e) Find
the maximum transverse speed of a particle in the string.If the wave is of the form
y(x,t) = ym sin(kx - ωt + φ),
what are (f)k, (g)ω, and (h)φ?
(a) Number
0.05
Units m
(b) Number
0.4
(c) Number
11.071614388213
Units m
(d) Number
0.036128425898
Units s
(e) Number
8.695625606347
Units m/s
(f) Number
15.707963267949
(g) Number
173.912512126949
(h) Number
0.927295218002
Units m/s
Units rad/m or m^-1
Units rad/s or s^-1
Units rad
6. *Chapter 16, Problem 25
A uniform rope of mass 75 g and length 120 cm hangs from a ceiling. (a) Find the speed of a transverse wave on the
rope at 42 cm from the lower end. (b) Find the time a transverse wave takes to travel the length of the rope.
(a) Number
2.028792744467
Units m/s
(b) Number
0.699854212224
Units s
http://edugen.wileyplus.com/edugen/shared/assignment/test/agprint.uni?numberQuest=true&title... 2011/12/21
第 3 頁，共 8 頁
Print Assignment: Chap16&Chap17 ::false
7. *Chapter 16, Problem 26
A string along which waves can travel is 1.8 m long and has a mass of 370 g. The tension in the string is 34 N. What
must be the frequency of traveling waves of amplitude 8.0 mm for the average power to be 79 W?
Number
153.650382878583
Units Hz
Significant digits are disabled; the tolerance is +/-2%
8. *Chapter 16, Problem 29
Use the wave equation to find the speed of a wave given by
y(x, t) = (2.24 mm)[(22 m-1)x - (4.2 s-1)t]1/5.
Number
0.190909090909
Units m/s
Significant digits are disabled; the tolerance is +/-2%
9. Test Bank, Question 49
Two separated sources emit sinusoidal traveling waves that have the same wavelength
respective sources. One travels a distance
to get to the observation point while the other travels a distance
The amplitude is a minimum at the observation point if
an odd multiple of
/2
an odd multiple of
/4
and are in phase at their
is:
a multiple of
an odd multiple of
/2
a multiple of
10. *Chapter 16, Problem 32
What phase difference between two otherwise identical traveling waves, moving in the same direction along a stretched
string, will result in the combined wave having an amplitude 1.1 times that of the common amplitude of the two
combining waves? Express your answer in (a) degrees, (b) radians, and (c) as a fraction of the wavelength.
(a) Number
113.265974061537
(b) Number
1.976864177852
(c)
Units ° (degrees)
Units rad
0.314627705726
http://edugen.wileyplus.com/edugen/shared/assignment/test/agprint.uni?numberQuest=true&title... 2011/12/21
第 4 頁，共 8 頁
Print Assignment: Chap16&Chap17 ::false
11. Test Bank, Question 52
Two sources, S1 and S2, each emit waves of wavelength
waves, at the point P shown, is
in the same medium. The phase difference between the two
The quantity
is:
the distance S1S2
the angle S1PS2
/2
the phase difference between the two sources
zero for transverse waves,
for longitudinal waves
12. *Chapter 16, Problem 56
A standing wave pattern on a string is described by y(x, t) = 0.086 sin (8πx)(cos 64πt), where x and y are in meters and
t is in seconds. For x ≥ 0, what is the location of the node with the (a) smallest, (b) second smallest, and (c) third
smallest value of x? (d) What is the period of the oscillatory motion of any (nonnode) point? What are the (e) speed
and (f) amplitude of the two traveling waves that interfere to produce this wave? For t ≥ 0, what are the (g) first, (h)
second, and (i) third time that all points on the string have zero transverse velocity?
(a) Number
0
(b) Number
0.125
Units m
(c) Number
0.25
Units m
Units m
(d) Number
0.03125
(e) Number
8
(f) Number
0.043
(g) Number
0
(h) Number
0.015625
(i) Number
Units s
Units m/s
Units m
Units s
0.03125
Units s
Units s
13. *Chapter 16, Problem 58
In Fig. 16-41, a string, tied to a sinusoidal oscillator at P and running over a support at Q, is stretched by a block of mass
m. Separation L = 1.2 m, linear density μ = 1.7 g/m, and the oscillator frequency f = 160 Hz. The amplitude of the
motion at P is small enough for that point to be considered a node. A node also exists at Q.
(a) What mass m allows the oscillator to set up the fourth harmonic on the string?
(b) What standing wave mode, if any, can be set up if m = 3 kg (Give 0 if the mass cannot set up a standing wave)?
http://edugen.wileyplus.com/edugen/shared/assignment/test/agprint.uni?numberQuest=true&title... 2011/12/21
Print Assignment: Chap16&Chap17 ::false
(a) m =
(b)
1.597064220183
第 5 頁，共 8 頁
kg
0
14. Test Bank, Question 1
The speed of a sound wave is determined by:
its amplitude
its intensity
its pitch
number of overtones present
the transmitting medium
15. Test Bank, Question 4
At points is a sound wave where the gas is maximally compressed, the pressure
is equal to the ambient value
is a maximum
is a minimum
is greater than the ambient value but less than the maximum
is less than the ambient value but greater than the minimum
16. *Chapter 17, Problem 13
A sound wave of the form s = sm cos(kx - ωt + φ) travels at 346 m/s through air in a long horizontal tube. At one
instant, air molecule A at x = 2.01 m is at its maximum positive displacement of 6.30 nm and air molecule B at x = 2.08
m is at a positive displacement of 2.00 nm. All the molecules between A and B are at intermediate displacements. What
is the frequency of the wave?
Number
981.577217317001
Units Hz
Significant digits are disabled; the tolerance is +/-2%
http://edugen.wileyplus.com/edugen/shared/assignment/test/agprint.uni?numberQuest=true&title... 2011/12/21
Print Assignment: Chap16&Chap17 ::false
第 6 頁，共 8 頁
17. *Chapter 17, Problem 17
Flying Circus of Physics
Two loudspeakers are located 3.13 m apart on an outdoor stage. A listener is 27.4 m from one and 30.2 m from the
other. During the sound check, a signal generator drives the two speakers in phase with the same amplitude and
frequency. The transmitted frequency is swept through the audible range (20 Hz to 20 kHz). (a) What is the lowest
frequency that gives minimum signal (destructive interference) at the listener's location? (b) What is the lowest
frequency that gives the maximum signal (constructive interference) at the listener's location? (Take the speed of sound
to be 343 m/s.)
(a) Number
61.25
Units Hz
(b) Number
122.5
Units Hz
18. *Chapter 17, Problem 23
Figure 17-38 two point sources S1 and S2 that emit sound of wavelength λ = 2.43 m. The emissions are isotropic and in
phase, and the separation between the sources is d = 16.5 m. At any point P on the x axis, the wave from S1 and the
wave from S2 interfere. Start with P very far away (x
what coordinate x does the second minimum occur?
Number
35.523179012346
). As you then move P in along the x axis toward the origin, at
Units m
Significant digits are disabled; the tolerance is +/-2%
19. *Chapter 17, Problem 24
Suppose that the sound level of a conversation is initially at an angry 73 dB and then drops to a soothing 50 dB.
Assuming that the frequency of the sound is 522 Hz, determine the (a) initial and (b) final sound intensities (in μW/m2)
and the (c) initial and (d) final sound wave amplitudes (in nm). Assume the speed of sound is 345 m/s and the air
density is 1.21 kg/m3.
(a) Number
19.952623149689
(b) Number
0.1
(c) Number
94.379439017425
(d) Number
6.673634133380
Units μW/m^2
Units μW/m^2
Units nm
Units nm
http://edugen.wileyplus.com/edugen/shared/assignment/test/agprint.uni?numberQuest=true&title... 2011/12/21
Print Assignment: Chap16&Chap17 ::false
第 7 頁，共 8 頁
20. *Chapter 17, Problem 27
A certain sound source is increased in sound level by 11 dB. By what multiple is (a) its intensity increased and (b) its
pressure amplitude increased?
(a) Number
12.589254117942
(b) Number
3.548133892336
Units This answer has no units
Units This answer has no units
21. *Chapter 17, Problem 59
In Fig. 17-41, a French submarine and a U.S. submarine move toward each other during maneuvers in motionless water
in the North Atlantic. The French sub moves at speed vF = 50.00 km/h, and the U.S. sub at vUS = 74.00 km/h. The
French sub sends out a sonar signal (sound wave in water) at 1.000 x 103 Hz. Sonar waves travel at 5470 km/h. What
frequency is detected by the French sub in the signal reflected back to it by the U.S. sub?
1046.38395531472
Hz
Significant digits are disabled; the tolerance is +/-2%
22. *Chapter 17, Problem 67
A girl is sitting near the open window of a train that is moving at a velocity of 7.90 m/s to the east. The girl's uncle
stands near the tracks and watches the train move away. The locomotive whistle emits sound at frequency 526 Hz. The
air is still. (a) What frequency does the uncle hear? (b) What frequency does the girl hear? A wind begins to blow from
the east at 5.78 m/s. (c) What frequency does the uncle now hear? (d) What frequency does the girl now hear? (Take
the speed of sound to be 343 m/s.)
(a) Number
514.157879737817
(b) Number
526
(c) Number
514.349781316586
(d) Number
526
Units Hz
Units Hz
Units Hz
Units Hz
23. *Chapter 17, Problem 53
Two identical piano wires have a fundamental frequency of 632 Hz when kept under the same tension. What fractional
increase in the tension of one wire will lead to the occurrence of 7 beats/s when both wires oscillate simultaneously?
0.022274575389
Significant digits are disabled; the tolerance is +/-2%
http://edugen.wileyplus.com/edugen/shared/assignment/test/agprint.uni?numberQuest=true&title... 2011/12/21
Print Assignment: Chap16&Chap17 ::false
第 8 頁，共 8 頁
http://edugen.wileyplus.com/edugen/shared/assignment/test/agprint.uni?numberQuest=true&title... 2011/12/21