General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 21, Problem 41E
To determine
The ratio of the intensity of the wave.
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A) Why does the wavelength remain constant at the same frequency but different amplitudes?
B) Why does the speed of a wave remain constant at the same frequency but different amplitudes?
Verify by direct substitution that the wave function for a standing wave given by:
y= (2A cos kx) cos wt
is a solution of the general linear wave equation:
1 a?y
ax?
A)Why does the speed of a wave change when the amplitude remains the same but the frequency changes?
B)Why does the wavelength change when the amplitude remains the same but the frequency changes?
Chapter 21 Solutions
General Physics, 2nd Edition
Ch. 21 - Prob. 1RQCh. 21 - Prob. 2RQCh. 21 - Prob. 3RQCh. 21 - Prob. 4RQCh. 21 - Prob. 5RQCh. 21 - Prob. 6RQCh. 21 - Prob. 7RQCh. 21 - Prob. 8RQCh. 21 - Prob. 9RQCh. 21 - Prob. 10RQ
Ch. 21 - Prob. 1ECh. 21 - Prob. 2ECh. 21 - Prob. 3ECh. 21 - Prob. 4ECh. 21 - Prob. 5ECh. 21 - Prob. 6ECh. 21 - Prob. 7ECh. 21 - Prob. 8ECh. 21 - Prob. 9ECh. 21 - Prob. 10ECh. 21 - Prob. 11ECh. 21 - Prob. 12ECh. 21 - Prob. 13ECh. 21 - Prob. 14ECh. 21 - Prob. 15ECh. 21 - Prob. 16ECh. 21 - Prob. 17ECh. 21 - Prob. 18ECh. 21 - Prob. 19ECh. 21 - Prob. 20ECh. 21 - Prob. 21ECh. 21 - Prob. 22ECh. 21 - Prob. 23ECh. 21 - Prob. 24ECh. 21 - Prob. 25ECh. 21 - Prob. 26ECh. 21 - Prob. 27ECh. 21 - Prob. 28ECh. 21 - Prob. 29ECh. 21 - Prob. 30ECh. 21 - Prob. 31ECh. 21 - Prob. 32ECh. 21 - Prob. 33ECh. 21 - Prob. 34ECh. 21 - Prob. 35ECh. 21 - Prob. 36ECh. 21 - Prob. 37ECh. 21 - Prob. 38ECh. 21 - Prob. 39ECh. 21 - Prob. 40ECh. 21 - Prob. 41ECh. 21 - Prob. 42ECh. 21 - Prob. 43ECh. 21 - Prob. 44ECh. 21 - Prob. 45ECh. 21 - Prob. 46ECh. 21 - Prob. 47ECh. 21 - Prob. 48ECh. 21 - Prob. 49ECh. 21 - Prob. 50ECh. 21 - Prob. 51ECh. 21 - Prob. 52ECh. 21 - Prob. 53ECh. 21 - Prob. 54ECh. 21 - Prob. 55ECh. 21 - Prob. 56ECh. 21 - Prob. 57ECh. 21 - Prob. 58ECh. 21 - Prob. 59ECh. 21 - Prob. 60ECh. 21 - Prob. 61ECh. 21 - Prob. 62ECh. 21 - Prob. 63ECh. 21 - Prob. 64ECh. 21 - Prob. 65ECh. 21 - Prob. 66ECh. 21 - Prob. 67ECh. 21 - Prob. 68ECh. 21 - Prob. 69ECh. 21 - Prob. 70ECh. 21 - Prob. 71ECh. 21 - Prob. 72ECh. 21 - Prob. 73ECh. 21 - Prob. 74ECh. 21 - Prob. 75ECh. 21 - Prob. 76ECh. 21 - Prob. 77ECh. 21 - Prob. 78ECh. 21 - Prob. 79ECh. 21 - Prob. 80E
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- To increase the intensity of a wave by a factor of 50, by what factor should the amplitude be increased?arrow_forwardA string with a mass of 0.30 kg has a length of 4.00 m. If the tension in the string is 50.00 N, and a sinusoidal wave with an amplitude of 2.00 cm is induced on the string, what must the frequency be for an average power of 100.00 W?arrow_forwardUse the linear wave equation to show that the wave speed of a wave modeled with the wave function y(x,t)=0.20msin(3.00m1x+6.00s1t) is v=2.00 m/s. What are the wavelength and the speed of the wave?arrow_forward
- For any given wave (moving at a constant speed), if the frequency quadruples, the wavelengtharrow_forwarda) If the period of oscillation of a given wave is 3.4 seconds and the wave is travelling at 12 m/s, what isthe wavelength of the wave?b) What is the frequency of the 4th harmonic of the wave from part (a)arrow_forwardA sinusoidal wave can be described by a cosine function, which is negative just as often as positive. So why isn’t the average power delivered by this wave zero?arrow_forward
- For a certain transverse wave, the distance between two successive crests is 1.77 m. And starting from the time when a crest passes through a certain point, 5 subsequent crests will then pass the same point over a time of 10.3 s. Calculate the wave speed (in unit of ms-1).arrow_forwardA 6.00-m long string sustains a three-loop standing wave pattern as shown. The wave speed is 2.00 × 10² m/s. Reference: Ref 17-4 What is the lowest possible frequency for standing waves on this string?arrow_forwardA wave if frequency 500 cycles /sec has a phase velocity of 350 meters/sec. (a) How far apart are two points 600 out of phase? (b) What is the phase difference between two displacements at a certain point at times 10-3 sec apart?arrow_forward
- The distance of point A from a source of wave is 1/5 that of point B. Find the ratio of the intensity received at point A to the intensity received at point B.arrow_forwardA certain vibrating string on a piano has a length of 56.9 cm and forms a standing wave having three antinodes. (a) Which harmonic does this wave represent? (b) Determine the wavelength of this wave. (c) How many nodes are there in the wave pattern?arrow_forwardSuppose the pulley absorbs a significant fraction of the energy in the wave so that the amplitude of the reflected wave is not equal to the amplitude of the wave set up with a vibrator. How will the standing waves differ from those established under conditions of perfect reflection? Hint: Remember what happens to the nodes when you add two waves of different amplitude. Will their superposition give zero amplitude?arrow_forward
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