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If on a given day the speed of sound increases by 1.5% between 8:00am and 11:00am, and if the temperature at 8:00am was 21°C, what was the temperature at 11:00am?


A) 21.6°C
B) 21.3°C
C) 25.4°C
D) 29.9°C

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A sound wave radiates from a source uniformly in all directions. If the power of the sound source is 200 watts, then the intensity level of the sound wave 100 m from the source is


A) 98.5 dB.
B) 92.0 dB.
C) 91.5 dB.
D) 89.6 dB.
E) 88.3 dB.

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An organ pipe is open at both ends. The frequency of the fourth mode is 316 Hz higher than the frequency of the third mode. If the speed of sound is 340 m/s, then what is the length of the organ pipe?


A) 53.8 cm
B) 59.8 cm
C) 60.3 cm
D) 62.8 cm
E) 64.7 cm

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The speed of sound in helium is 965 m/s. If the density of helium is 0.179 kg/m3, then what is the bulk modulus of helium?


A) 2.70 × 105 N/m2
B) 2.40 × 105 N/m2
C) 2.20 × 105 N/m2
D) 1.67 × 105 N/m2
E) 1.56 × 105 N/m2

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Two organ pipes, open at both ends, are meant to be the same length, but apparently they are not. When played simultaneously the beat frequency heard is 2.4 Hz. If the fundamental frequency of the first pipe is 228 Hz, by what fraction is the first pipe different in length than the second?


A) 2%
B) −2%
C) −1%
D) Not enough information
E) 1%

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A 30.0 cm long brass rod is suspended at the ends by long strings. The rod is struck at one end parallel to the rod and causes the rod to vibrate longitudinally with the ends free. (Y = 9.00 × 1010 N/m2, density = 8,470 kg/m3.) Assuming the rod vibrates in its fundamental mode, the frequency of the vibration is


A) 5,430 Hz.
B) 5,020 Hz.
C) 4,760 Hz.
D) 4,500 Hz.
E) 3,950 Hz.

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A guitar string with a tension of 150 N is played together with a tuning fork whose frequency is 256 Hz, and beats of 2 Hz are heard. Assuming the guitar string is higher in frequency than the tuning fork, to what new tension should the guitar string be adjusted for the string and tuning fork to have the same frequency?


A) 148 N
B) 149 N
C) 151 N
D) 152 N
E) The length of the string must be given in order to solve this problem.

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A sound wave in helium has an intensity of 1.00 × 10−3 W/m2. The density of helium is 0.179 kg/m3 and the speed of sound in helium is 965 m/s. The pressure amplitude of the sound wave is


A) 0.682 N/m2.
B) 0.588 N/m2.
C) 0.476 N/m2.
D) 0.345 N/m2.
E) 0.276 N/m2.

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A 30.0 cm long organ pipe is filled with air and is open at one end and closed at the other. The speed of sound in air at 0°C is 331 m/s. What is the frequency of the second mode of vibration?


A) 900 Hz
B) 828 Hz
C) 750 Hz
D) 721 Hz
E) 650 Hz

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A string with a mass per length of 2.00 g/m is stretched with a force of 120 N between two points that are 0.400 m apart. The fundamental frequency of the stretched string is in tune with the frequency of the second mode of an organ pipe filled with air and open at both ends. The speed of sound in air at 0°C is 331 m/s. What is the length of the organ pipe?


A) 225 cm
B) 175 cm
C) 125 cm
D) 108 cm
E) 95.0 cm

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A 60.0 cm long brass rod is suspended at the ends by long strings. The rod is struck at one end parallel to the rod and causes the rod to vibrate longitudinally with the ends free. (Y = 9.00 × 1010 N/m2, density = 8,470 kg/m3.) Assuming the rod vibrates in its fundamental mode, the frequency of the vibration is


A) 3,790 Hz.
B) 3,540 Hz.
C) 3,120 Hz.
D) 2,720 Hz.
E) 2,140 Hz.

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A 20 cm long organ pipe is filled with air and is open at one end and closed at the other. The speed of sound in air at 0°C is 331 m/s. What is the wavelength of the fundamental mode?


A) 40 cm
B) 60 cm
C) 80 cm
D) 43 cm
E) 75 cm

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The temperature is observed to decrease from 32°C to 23°C during the evening of a very hot day. What is the relative change in the speed of sound over this time interval?


A) −15%
B) −28%
C) −1.5%
D) −3%

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The Young's modulus of aluminum is 6.90 × 1010 N/m2. If the density of aluminum is 2,700 kg/m3, then what is the speed of longitudinal waves along a thin aluminum rod?


A) 6,360 m/s
B) 6,020 m/s
C) 5,750 m/s
D) 5,060 m/s
E) 4,850 m/s

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A 60.0 cm long organ pipe is filled with air and is open at both ends. The speed of sound in air at 0°C is 331 m/s. What is the wavelength of the fundamental mode?


A) 115 cm
B) 120 cm
C) 131 cm
D) 142 cm
E) 167 cm

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An ambulance is generating a siren sound at a frequency of 2,400 Hz. The speed of sound is 345.0 m/s. The observer is traveling at a velocity of 24.00 m/s toward the ambulance and the ambulance is traveling at a velocity of 24.00 m/s away the observer. What is the frequency of the siren perceived by the observer?


A) 2,448 Hz
B) 2,424 Hz
C) 2,400 Hz
D) 2,376 Hz
E) 2,352 Hz

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A 20.0 cm long organ pipe is filled with air and is open at one end and closed at the other. The speed of sound in air at 0°C is 331 m/s. What is the frequency of the third mode of vibration?


A) 2,900 Hz
B) 2,480 Hz
C) 2,070 Hz
D) 1,660 Hz
E) 1,240 Hz

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A 50 cm long organ pipe is filled with air and is open at both ends. The speed of sound in air at 0°C is 331 m/s. What is the wavelength of the second mode?


A) 50 cm
B) 75 cm
C) 90 cm
D) 40 cm
E) 63 cm

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An organ pipe is 60.0 cm long and is open at one end and closed at the other. The frequency of the third mode is 300 Hz higher than the frequency of the second mode. What is the speed of sound?


A) 280 m/s
B) 300 m/s
C) 320 m/s
D) 340 m/s
E) 360 m/s

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A 30 cm long organ pipe is filled with air and is open at one end and closed at the other. The speed of sound in air at 0°C is 331 m/s. What is the wavelength of the third mode of vibration?


A) 48 cm
B) 36 cm
C) 30 cm
D) 24 cm
E) 12 cm

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