Exam 11: Waves

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The speed of sound in air is dependent upon the air temperature and other factors. The speed of sound increases from 334 m/s to 341 m/s between 8:00am and 11:00am. If a horn produces sound with wavelength 0.75 m at 8:00am, what would it produce at 11:00am, assuming the frequency is unchanged?

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A length of piano wire is used to hang a mass from the ceiling. If the total mass of the string is 0.72 g and the mass hung from it is 1850 g, what is the length of the wire, assuming the fundamental frequency when plucked in these circumstances is 320 Hz?

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A transverse periodic wave is represented by the equation z(y, t) = 1.50 cm sin(1,250 rad/s t + 10.0 m−1 y). What is the velocity of the wave?

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The speed of sound in water is 4.3 times the speed of sound in air. A whistle produces a sound wave in air with a frequency f0. When this sound wave enters the water, its frequency will be

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What is the frequency of the wave? What is the frequency of the wave?

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A transverse periodic wave is represented by the equation z(y, t) = 1.50 cm sin(1,250 rad/s t + 10.0 m−1 y). What are the wavenumber k and direction of propagation of the wave?

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A string with a mass/length of 0.00200 kg/m is stretched between two points with a tension of 115 N. If the distance between the points is changed by 1.0% (keeping the tension and mass per unit length the same), then what is the percentage change of the frequency?

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A transverse periodic wave is represented by the equation y(x, t) = 1.50 cm sin(1,500 rad/s t − 10.0 m−1 x). Another transverse wave is represented by the equation y(x, t) = 1.50 cm sin(1,500 rad/s t + 10.0 m−1 x). What is the equation that represents the superposition of the two waves?

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The wavelength of a periodic wave is 0.750 m. If the frequency is 425 Hz, then what is the velocity of the wave?

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What is the mass of a 1.25 m long piano wire that has a fundamental frequency of 256 Hz when under a tension of 552 N?

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A string with a length of 2.50 m has a mass of 5.00 g. The velocity of wave propagation along the string is 210 m/s. The tension of the stretched string is

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Two speakers, facing each other, produce coherent sound waves that interfere destructively at a point that is ¾ of the way from one speaker to the other. If the speed of sound is 343 m/s, and the sound waves are emitted in phase at 880 Hz, which of the following is a possible distance between the two speakers?

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A string with a mass/length of 0.00200 kg/m is stretched between two points with a tension of 120 N. If the fundamental frequency is 440 Hz, then what is the distance between the two points?

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A transverse periodic wave is represented by the equation y(z, t) = −2.0 cm sin(1,200 rad/s t − 20.0 m−1 x). Another transverse wave is represented by the equation y(z, t) = +2.0 cm sin(1,200 rad/s t + 20.0 m−1 z). What is the equation that represents the superposition of the two waves?

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Of these properties of waves, which one is independent of the others?

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A transverse periodic wave is represented by the equation y(x, t) = −1.50 cm sin(1,500 rad/s t − 10.0 m−1 x). Another transverse wave is represented by the equation y(x, t) = +1.50 cm sin(1,500 rad/s t + 10.0 m−1 x). What is the equation that represents the superposition of the two waves?

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A pair of speakers emits coherent sound waves in phase at a frequency of 440 Hz. A microphone is placed such that it is 1.0 m from one speaker on a line that is perpendicular to the line between the speakers. Which of the following distances reflects a possible distance between the speakers if there is complete destructive interference at the location of the microphone? The speed of sound is 340 m/s.

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A transverse periodic wave is represented by the equation y(z, t) = 2.0 cm sin(1,200 rad/s t − 20.0 m−1 z). Another transverse wave is represented by the equation y(z, t) = 2.0 cm sin(1,200 rad/s t − 20.0 m−1 z). What is the equation that represents the superposition of the two waves?

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A string on a violin is stretched between two points 20.0 cm apart with a tension of 120 N. The mass/length of the string is 0.00200 kg/m. The frequency of the mode of vibration with the lowest frequency is

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A longitudinal wave travels on a slinky or any long spring. The wave is represented by the equation x(x, t) = 2.1 cm cos(2000 rad/s t − 40 m−1 x). What is the direction of motion of a point on the spring due to the wave?

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