Exam 16: Superposition and Standing Waves
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An organ pipe that is 1.75 m long and open at both ends produces sound of frequency 303 Hz when resonating in its second overtone. What is the speed of sound in the room?
(Short Answer)
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A 0.13-m string, fixed at both ends and vibrating in its n = 4 harmonic, excites a pipe that is long and open at both ends, into its second overtone resonance. What is the speed of transverse waves on the string? The speed of sound in air is 345 m/s.
(Multiple Choice)
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Consider a pipe of length L that is open at both ends. What are the wavelengths of the three lowest-pitch tones produced by this pipe?
(Multiple Choice)
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The speed of propagation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the following is not a resonant frequency of this string?
(Multiple Choice)
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Two speakers are placed side by side and driven by the same frequency of 0.50 kHz. If the distance from a person to one speaker is 5.0 m and the person detects little or no sound, which of the following is a possible the distance from the person to the other speaker? The sound speed in the room is 340 m/s.
(Multiple Choice)
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One of the harmonics of a column of air in a tube that is open at one end and closed at the other has a frequency of 448 Hz, and the next higher harmonic has a frequency of 576 Hz. How long is the tube? The speed of sound in air is 343 m/s.
(Multiple Choice)
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A standing wave is oscillating at 950 Hz on a string, as shown in the figure. What is the wave speed? 

(Multiple Choice)
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An pipe of length L that is open at both ends is resonating at its fundamental frequency. Which statement about the sound is correct?
(Multiple Choice)
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One of the harmonics of a column of air in a tube that is open at both ends has a frequency of 448 Hz, and the next higher harmonic has a frequency of 576 Hz. What is the fundamental frequency of the air column in this tube?
(Multiple Choice)
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If the frequency of a violin string is to be increased by 20%, what change in tension must be applied?
(Multiple Choice)
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Two in-phase loudspeakers are placed along a wall and are separated by a distance of 4.00 m. They emit sound with a frequency of 514 Hz. A person is standing away from the wall, in front of one of the loudspeakers. What is the closest distance from the wall the person can stand and hear destructive interference? The speed of sound in air is 343 m/s.
(Multiple Choice)
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Two pure tones are sounded together and a particular beat frequency is heard. What happens to the beat frequency if the frequency of one of the tones is increased?
(Multiple Choice)
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In a resonating pipe that is open at one end and closed at the other end, there
(Multiple Choice)
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A string that is 0.26 m long is vibrating in its n = 6 harmonic. The sound from tthis string excites a pipe that is long and open at both ends into its second overtone resonance. What is the common resonant frequency of the string and the pipe? The speed of sound in air is 345 m/s.
(Multiple Choice)
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Two taut strings of identical mass per unit length are stretched with the same tension with their ends fixed, but one string is 0.330 cm longer than the other. Waves on these strings propagate at 34.0 m/s.The fundamental frequency of the shorter string is 258 Hz. What is the beat frequency when each string is vibrating at its fundamental frequency?
(Multiple Choice)
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An organ pipe open at both ends has a length of 0.80 m. If the velocity of sound in air is what is the frequency of the second harmonic of this pipe?
(Multiple Choice)
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A 0.588-m string is tightly clamped at both ends. If the lowest standing wave frequency of the string is how fast do waves travel on this string?
(Multiple Choice)
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A person stands between two speakers driven by the same source. Each speaker produces a tone with a frequency of 200 Hz on a day when the speed of sound is 330 m/s. The person is 1.65 m from one speaker and 4.95 m from the other. What type of interference does the person perceive?
(Multiple Choice)
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A guitar-like stringed instrument has a string that is 16 cm long. It sounds the musical note A (440 Hz)when played without fingering. By what distance should you shorten it to play the note C (523 Hz)?
(Multiple Choice)
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