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Write the equation of a wave, travelling along the +x axis with an amplitude of 0.02 m, a frequency of 440 Hz, and a speed of 330 m/sec.


A) y = 0.02 sin [880 π\pi (x/330 -t) ]
B) y = 0.02 cos [880 π\pi x/330 -440t]
C) y = 0.02 sin [880 π\pi (x/330 + t) ]
D) y = 0.02 sin [2 π\pi (x/330 + 440t) ]
E) y = 0.02 cos [2 π\pi 0(x/330 + 440t) ]

F) A) and D)
G) A) and B)

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If the breakers at a beach are separated by 5.0 m and hit shore with a frequency of 0.20 Hz, with what speed are they travelling?

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The velocity of sound in sea water is 1.53 * 103 m/s. Find the bulk modulus (in N/m2) of sea water if its density is 1.03 *103 kg/m3.


A) 2.57 * 109
B) 2.19 * 109
C) 2.04 * 109
D) 2.41 * 109
E) 2.82 * 109

F) None of the above
G) B) and E)

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A point source emits sound with a power output of 100 watts. What is the intensity (in W/m2) at a distance of 10.0 m from the source?


A) 7.96 * 10-2
B) 7.96 *10-1
C) 7.96 *100
D) 7.96 *01
E) 7.96 *10-3

F) B) and C)
G) B) and E)

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To decrease the intensity of the sound you are hearing from your speaker system by a factor of 36, you can


A) reduce the amplitude by a factor of 12 and increase your distance from the speaker by a factor of 3.
B) reduce the amplitude by a factor of 4 and increase your distance from the speaker by a factor of 3.
C) reduce the amplitude by a factor of 2 and increase your distance from the speaker by a factor of 3.
D) reduce the amplitude by a factor of 3 and increase your distance from the speaker by a factor of 4.
E) reduce the amplitude by a factor of 3 and increase your distance from the speaker by a factor of 12.

F) A) and B)
G) B) and C)

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The variation in the pressure of helium gas, measured from its equilibrium value, is given by Δ\Delta P = 2.9 * 10-5 cos (6.20x - 3 000t) where x and t have units m and s, and Δ\Delta P is measured in N/m2. Determine the frequency (in Hz) of the wave.


A) 1500
B) 477
C) 1.01
D) 0.32
E) 239

F) None of the above
G) B) and C)

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A stone is thrown into a quiet pool of water. With no fluid friction, the amplitude of the waves falls off with distance r from the impact point as:


A) 1/r3
B) 1/r2
C) 1/r3/2
D) 1/r1/2
E) 1/r

F) A) and E)
G) A) and D)

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The fundamental frequency of A above middle C on the piano is 440 Hz. This is the tenor high A, but a convenient note in the mid-range of women's voices. When we calculate the wavelength, we find that it is:


A) much shorter than the length of either a man's or woman's lips.
B) shorter than the length of a man's lips, but about the length of a woman's lips.
C) longer than a woman's lips, but about the length of a man's lips.
D) much longer than the length of either a man's or a woman's lips.
E) about the same length as either a man's or woman's lips.

F) None of the above
G) A) and B)

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If y = 0.02 sin (30x - 400t) (SI units) , the frequency of the wave is:


A) 30 Hz
B) 15/ π\pi Hz
C) 200/ π\pi Hz
D) 400 Hz
E) 800 π\pi Hz

F) B) and D)
G) A) and D)

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C

A pulse is described by y=3/[(x+2t) 2+4]y=3 /\left[(x+2 t) ^{2}+4\right] in SI units. What is the velocity of the pulse?


A) 3 m/s in the +x direction
B) 2 m/s in the -x direction
C) 2 m/s in the +x direction
D) 4 m/s in the -x direction
E) 4 m/s in the +x direction

F) A) and B)
G) B) and C)

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A jet plane has a sound level of 150 dB. What is the intensity in W/m2?


A) 1
B) 100
C) 10
D) 1000
E) 10°000

F) B) and E)
G) A) and D)

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The lowest A on a piano has a frequency of 27.5 Hz. If the tension in the 2.00-m string is 308 N, and one-half wavelength occupies the string, what is the mass of the wire?


A) 0.025 kg
B) 0.049 kg
C) 0.051 kg
D) 0.081 kg
E) 0.037 kg

F) D) and E)
G) B) and E)

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A wave generated in a medium is a longitudinal wave when:


A) there is a net transport of matter by the wave.
B) the molecules of the medium are unable to exert forces on each other.
C) molecular displacements are parallel to the wave velocity.
D) molecular displacements are perpendicular to the wave velocity.
E) the density of the medium is less than the density of water.

F) A) and E)
G) C) and D)

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C

Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time. Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time.   Which of the graphs below shows a wave where the frequency and wave velocity are both doubled? A)    B)    C)    D)    E)   Which of the graphs below shows a wave where the frequency and wave velocity are both doubled?


A) Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time.   Which of the graphs below shows a wave where the frequency and wave velocity are both doubled? A)    B)    C)    D)    E)
B) Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time.   Which of the graphs below shows a wave where the frequency and wave velocity are both doubled? A)    B)    C)    D)    E)
C) Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time.   Which of the graphs below shows a wave where the frequency and wave velocity are both doubled? A)    B)    C)    D)    E)
D) Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time.   Which of the graphs below shows a wave where the frequency and wave velocity are both doubled? A)    B)    C)    D)    E)
E) Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time.   Which of the graphs below shows a wave where the frequency and wave velocity are both doubled? A)    B)    C)    D)    E)

F) A) and E)
G) B) and E)

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An aircraft travelling at half the speed of sound emits sound at a frequency of 5000 Hz. At what frequency does a stationary listener hear the sound as the plane approaches, and after it passes by? Assume the aircraft is not flying very high.

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Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time. Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time.   Which of the graphs below shows a wave where the wavelength is twice as large? A)    B)    C)    D)    E)   Which of the graphs below shows a wave where the wavelength is twice as large?


A) Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time.   Which of the graphs below shows a wave where the wavelength is twice as large? A)    B)    C)    D)    E)
B) Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time.   Which of the graphs below shows a wave where the wavelength is twice as large? A)    B)    C)    D)    E)
C) Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time.   Which of the graphs below shows a wave where the wavelength is twice as large? A)    B)    C)    D)    E)
D) Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time.   Which of the graphs below shows a wave where the wavelength is twice as large? A)    B)    C)    D)    E)
E) Refer to Exhibit 17-1 below.Exhibit 17-1 The figure below shows a sine wave on a string at one instant of time.   Which of the graphs below shows a wave where the wavelength is twice as large? A)    B)    C)    D)    E)

F) A) and C)
G) None of the above

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It is possible to hear an approaching train before you can see it by listening to the sound wave through the track. If the elastic modulus is 2.0*1011 N/m2 and the density of steel is 7.8 *103 kg/m3, approximately how many times faster is the speed of sound in the track than in air? (vair \approx 340 m/s.)


A) 20
B) 5
C) 10
D) 15
E) 25

F) C) and D)
G) A) and D)

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Find the period of a wave of 100-m wavelength in deep water where v=gλ/2πv=\sqrt{g \lambda / 2 \pi} .


A) 5.0 s
B) 8.0 s
C) 12.5 s
D) 15 s
E) 0.125 s

F) B) and C)
G) A) and B)

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If y = 0.02 sin (30x - 400t) (SI units) , the velocity of the wave is:


A) 3/40 m/s.
B) 40/3 m/s.
C) 60 π\pi /400 m/s.
D) 400/60 π\pi m/s.
E) 400 m/s.

F) A) and E)
G) All of the above

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A boat sounds a fog horn on a day when both the sea water and the air temperature are 25.0 °\degree C. The speed of sound in sea water is 1533 m/s. How much earlier (in s) does a dolphin 1000 m from the source hear the sound than a person in a boat that is also 1000 m distant? (Ignore the time it takes the sound to reach the water surface.)


A) 0.652
B) 2.12
C) 2.24
D) 2.77
E) 2.90

F) A) and E)
G) A) and B)

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C

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