99.. The standing waves in air in a pipe of length L that is open at both ends have a speed v.The frequencies of the three lowest harmonics areA) v/L, 2v/L, and 3v/LB) v/2L, v/L, and 3v/2LC) 2/2, 2, and 32/2D) L/v, 2L/v, and 3L/vE) 2/3, 22/3, and 32/3

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Answered: 99.. The standing waves in air in a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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7) A string is tied at both ends. The linear density of the string is 9.2 gr/m. The length of the string is 120 cm. The speed of the wave is 42 m/sec. A standing wave is produced with an amplitude of 4 cm. The pattern produced is a 5th harmonic. a) What is the tension on the string? b) What is the amplitude of the traveling wave? c) What is the angular frequency of the wave? d) What is the wavelength of the wave pattern? e) What is the frequency of the wave pattern? f) At what distances are the nodes located? g) At what distances are the antinodes located? h) What is the constant of propagation? i) Write a function to describe the wave pattern
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A 1m long string is pinned at both ends. The string is plucked, and a standing wave is created. The wave number is ? = 4? rad/m.a) Calculate the wavelength of the wave.b) If there are 5 nodes in the string, find their positions.Answers: • 0.5 m• Xn = {0, 0.25, 0.5, 0.75, 1}
3: Which of the following describes a standing wave of amplitude 0.5 m, wavelength 2 m and period 32 of amplitude s? (in each, z is in m and t is in s) a: 0.5 sin(x-t/16) b: 0.5 sin(x/16-nt) c: 0.5 sin(x) cos(nt/16) d: 0.5 sin(x/16) cos(nt) e: sin(x) cos(16mt)
9. A plane seismic wave, travelling vertically downwards in a rock of density 2200 kg m-3 with seismic velocity 2000 m s-1, is incident on the horizontal top surface of a rock layer of density 2400 kg m-3 and seismic velocity 3300 m s-1. (a) What are the amplitude ratios of the transmitted and reflected waves? (b) What fraction of the energy of the incident wave is transmitted into the lower medium?
4. For the following, identify the speed of the wave f(x, t) and the direction it is travelling. (a) f(x, t) = 10 cos(10x + 3t) (b) f(x, t) = −2 sin(2x − 4t — π)
The transverse displacement of a stretched string from equilibrium as a function of time and position is given by: Evaluate y%30.13cos(9 x + 27 t). x and y are in m; t is in s. The wave moves in the positive x direction. The speed of the wave is v The wavelength is ..... 1 m. The period is ..... 0.1 seconds. False False ..... 4 m/s. False False A traveling wave can be any function of (2*pi*x/lamda-2*pi*t/period). Calculate the various parameters where needed then select the proper answers. Submit Answer Incorrect. Tries 1/12 Previous Tries Calculate the average power transmitted by the string. Data: mass of a 207 m long piece of the string is 2.59 kg. Submit Answer Tries 0/12 Post Discussion Senc
5. Calculate the time displacement for each of the given waves, stating lead or lag. (a) (b) (c) 20 sin 100t+ || cos(7t-0.26) and 5 cos (77) COS ++15 -1) ₁ 1 t+1 eл ел and the function before the shift. and the function before the shift.
4. A travelling wave on a string is given by: = 5.7(cos(3.3x) cos(4.4t) – sin(3.3x) sin(4.4t)) y = For this wave find (a) its velocity of propagation (b) the transverse velocity (c) the transverse acceleration (d) the maximum displacement, velocity and acceleration of a particle on the string.
None

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99.. The standing waves in air in a pipe of length L that is open at both ends have a speed v. The frequencies of the three lowest harmonics are A) v/L, 2v/L, and 3v/L B) v/2L, v/L, and 3v/2L C) 2/2, 2, and 32/2 D) L/v, 2L/v, and 3L/v E) 2/3, 22/3, and 32/3