COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 13, Problem 22QAP
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. Two loudspeakers A and B are driven by the same amplifier and emit pure sinusoidal waves in phase. (a) For what frequencies does constructive interference occur at point P? (b) For what frequencies does destructive interference occur at point P? The speed of sound is 350 m/s.
Two identical waves undergo pure constructive interference. Is the resultant intensity twice that of the individual waves? Explain your answer.
问题1
What is a standing wave?
O Two waves combining to alternate amplitudes
O A wave that quickly comes and goes
O Two waves with complete destructive interference
问题2
Chapter 13 Solutions
COLLEGE PHYSICS
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- Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?arrow_forwardIn figure OQ18.1 (page 566), a sound wave of wave-lenght 0.8 m divides into two equal parts that recombine to interfere constructively, with the original difference between their path lengths being |r2 r1| = 0.8 m. Rank the following situations according to the intensity of sound at the receiver from the highest to the lowest. Assume the tube walls absorb no sound energy. Give equal ranks to situations in which the intensity is equal. (a) From its original position, the sliding section is moved out by 0.1 m. (b) Next it slides out an additional 0.1 m. (c) It slides out still another 0.1 m. (d) It slides out 0.1 m more.arrow_forwardWhat is the necessary condition on the path length difference between two waves that interfere (a) constructively and (b) destructively?arrow_forward
- Two sources as in phase and emit waves with =0.42 m. Determine whether constructive or destructive interference occurs at points whose distances from the two sources are (a) 0.84 and 0.42 m, (b) 0.21 and 0.42 m, (c) 1.26 and 0.42 m, (d) 1.87 and 1.45 m, (e) 0.63 and 0.84 m and (f) 1.47 and 1.26 m.arrow_forwardA speaker is placed at the opening of a long horizontal tube. The speaker oscillates at a frequency of f, creating a sound wave that moves down the tube. The wave moves through the tube at a speed of v=340.00 m/s. The sound wave is modeled with the wave function s(x,t)=smaxcos(kxt+) . At time t=0.00 s , an air molecule at x=2.3 m is at the maximum displacement of 6.34 nm. At the same time, another molecule at x=2.7 m has a displacement of 2.30 nm. What is the wave function of the sound wave, that is, find the wave number, angular frequency, and the initial phase shift?arrow_forwardHow can you determine that the speed of sound is the same for all frequencies by listening to a band orchestra?arrow_forward
- (a) What is the speed of sound in a medium where a 100kHz frequency produces a 5.96cm wavelength? (b) Which substance in Table 17.1 is this likely to be?arrow_forwardA speaker is placed at the opening of a long horizontal tube. The speaker oscillates at a frequency f, creating a sound wave that moves down the tube. The wave moves through the tube at a speed of v=340.00 m/s. The sound wave is modeled with the wave function s(x,t)=smaxcos(kxt+) . At time t=0.00 s , an air molecule at x=3.5 m is at the maximum displacement of 7.00 nm. At the same time, another molecule at x=3.7 m has a displacement of 3.00 nm. What is the frequency at which the speaker is oscillating?arrow_forwardTwo speakers, facing each other and separated by a distance d, each emit a pure tone of the same amplitude A with frequency f. The speed of each of the sound waves is vs. A listener stands between the speakers, a distance x from one of the speakers. a. What frequencies would cause a dead spot (complete destructive interference) at the listeners position? b. If the speakers are separated by 5.00 m with the listener 2.00 m from one of the speakers, what is the lowest frequency for which there is a dead spot? The speed of sound in air is 343 m/s.arrow_forward
- Submarine A travels horizontally at 11.0 m/s through ocean water. It emits a sonar signal of frequency f = 5.27 103 Hz in the forward direction. Submarine B is in front of submarine A and traveling at 3.00 m/s relative to the water in the same direction as submarine A. A crewman in submarine B uses his equipment to detect the sound waves (pings) from submarine A. We wish to determine what is heard by the crewman in submarine B. (a) An observer on which submarine detects a frequency f as described by Equation 16.46? (b) In Equation 16.46, should the sign of vs be positive or negative? (c) In Equation 16.46, should the sign of vo be positive or negative? (d) In Equation 16.46, what speed of sound should be used? (e) Find the frequency of the sound detected by the crewman on submarine B.arrow_forwardi need the answer quicklyarrow_forwardWhich of the following statements are true statements about interference? Interference occurs when two (or more) waves meet while traveling along the same medium. Interference can be constructive or destructive. Interference of two waves at a given location results in the formation of a new wave pattern which has a greater amplitude than either of the two interfering waves. The meeting of a trough of one wave with a trough of another wave results in destructive interference. The only way for two waves to interfere constructively is for a crest to meet a crest or a trough to meet a trough. It is only a theory that light can interfere destructively; the theory is based on the assumption that light is a wave and most waves exhibit this behavior. Experimental evidence supporting the theory has not yet been observed.arrow_forward
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