Exam 16: Superposition and Standing Waves

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A standing wave is shown in the figure on the right. If the period of the wave is T, the shortest time it takes for the wave to go from the solid curve to the dashed curve is A standing wave is shown in the figure on the right. If the period of the wave is T, the shortest time it takes for the wave to go from the solid curve to the dashed curve is

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A violinist is tuning the A string on her violin by listening for beats when this note is played simultaneously with a tuning fork of frequency 440 Hz. She hears a beat frequency of 4 Hz. She notices that, when she increases the tension in the string slightly, the beat frequency decreases. What was the frequency of the mistuned A string?

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A wire of mass 1.1 g is under a tension of 100 N. If its third overtone is at a frequency of 750 Hz, calculate the length of the wire.

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Two sources are said to be coherent if

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A guitar string of length 105 cm is in resonance with a tuning fork of frequency f. Using the fret board the length of the string is shortened by 1.5 cm while keeping the tension in the string constant. Now a beat frequency of 10 Hz is heard between the string and the tuning fork. What is the frequency of the tuning fork?

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  The figure shows several modes of vibration of a string fixed at both ends. The mode of vibration that represents the fifth harmonic is The figure shows several modes of vibration of a string fixed at both ends. The mode of vibration that represents the fifth harmonic is

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Use the figure to the right to answer the next problems. The graph shows a wave pulse of width w = 5 cm and speed v = 100 m/s. Use the figure to the right to answer the next problems. The graph shows a wave pulse of width w = 5 cm and speed v = 100 m/s.   -The range of frequencies is -The range of frequencies is

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A vibrating tuning fork of 850 Hz is held above a tube filled with water. The first and third resonances occur when the water level is lowered by 8.8 cm and 47.6 cm from the top of the tube. If there is a small end correction that adds a small extra length Δ\Delta L to the effective length of the air column, calculate Δ\Delta L. Assume the speed of sound to be 330 m/s.

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If two identical waves with a phase difference of 6 π\pi are added, the result is

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The fundamental frequency of a vibrating string is f1. If the tension in the string is increased by 50% while the linear density is held constant, the fundamental frequency becomes

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  The figure shows a wave on a string approaching its fixed end at a wall. When the wave reaches the wall and is reflected, a standing wave will be set up in the string. One of the antinodes in the standing wave will be found at position The figure shows a wave on a string approaching its fixed end at a wall. When the wave reaches the wall and is reflected, a standing wave will be set up in the string. One of the antinodes in the standing wave will be found at position

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In a vibrating-string experiment, three loops are observed between points A and B when the mass on one end of the string is 100 g. The number of loops between A and B can be changed to two by replacing the 100-g mass with a mass of In a vibrating-string experiment, three loops are observed between points A and B when the mass on one end of the string is 100 g. The number of loops between A and B can be changed to two by replacing the 100-g mass with a mass of

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For a tube of length 57.0 cm that is open at both ends, what is the frequency of the fundamental mode? (the speed of sound in air is 340 m/s)

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  At P<sub>1</sub><sub>,</sub> the waves from sources S<sub>1</sub> and S<sub>2</sub> shown in the figure At P1, the waves from sources S1 and S2 shown in the figure

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A vibrating tuning fork is held above a tube filled with water. The first two resonances occur when the water level is lowered by 14.2 cm and 44.2 cm from the top of the tube. If there is a small end correction that adds a small extra length Δ\Delta L? to the effective length of the air column, calculate the frequency of the tuning fork. Assume the speed of sound to be 330 m/s.

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The interference of waves refers to the

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Which of the following equations represents a standing wave? (The symbols have their usual meaning.)

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Two sound waves, one wave is given by y1 = po sin ( ω\omega 1t), and the other by y2 = po sin ( ω\omega 2t), where ω\omega 1 differs from ω\omega 2 by a rad/s. The maximum sound intensity of the beat frequency is

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Two wave trains of the same frequency are traveling in opposite directions down a string. When they meet, these wave trains will not

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A string 2.0 m long has a mass of 2.4 ×\times 10-2 kg. When fixed at both ends, it vibrates with a fundamental frequency of 150 Hz. The frequency of the third harmonic of this fundamental is

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