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Chapter 16
Lecture NotesWednesday, May 13, 2020 1:43 PM
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Chapter 17
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Reading: sections 16.1 – 16.5, 16.7, 16.9; 17.1 – 17.3, 17.5 – 17.8
Outline:
mechanical, electromagnetic, and matter waveswave speed
introduction to waves
transverse and longitudinal wavesamplitude and phasewavelength and frequencywave speedsinusoidal waves
traveling waves
waves speed on a stretched string
waves in two- and three-dimensions
the principle of superposition
Standing waves on a string standing waves
interference in one-dimensionconstructive and destructive interferencephase differenceinterference in two- and three-dimensionsbeats
interference
Conceptual Question 16.A In the figure below, five points are indicated on a snapshot of a sinusoidal wave. What is the phase difference between point 1 and (a) point 2, (b) point 3, (c) point 4, and (d) point 5? Answer in radians and in terms of the wavelength of the wave. The snapshot shows a point of zero displacement at x = 0. In terms of the period T of the wave, when will (e) a peak and (f) the next point of zero displacement reach x = 0?
Problem 17.22Two loud speakers emit sound waves along the x-axis. The sound has maximum intensity when the speakers are 20 cm apart. The sound intensity decreases as the distance between the speakers is increased, reaching zero at a separation of 30 cm. (a) What is the wavelength of the sound? (b) If the distance between the speakers continues to increase, at what separation will the sound intensity again be a maximum?
Problem 17.62Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears a maximum sound intensity when speaker 2 is at the origin
Example ProblemsWednesday, May 13, 2020 1:44 PM
Example Problems Page 24
Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears a maximum sound intensity when speaker 2 is at the origin and speaker 1 is at x = 0.50 m. If speaker 1 is slowly moved forward, the sound intensity decreases and then increases, reaching a maximum when speaker 1 is at x = 0.90 m. What is the frequency of the sound? Assume vsound = 340 m/s.
Problem 7 A pair of in-phase stereo speakers are placed next to each other, 0.60 m apart. You stand directly in front of one of the speakers, 1.0 m from the speaker. What is the lowest frequency that will produce constructive interference at your location? Assume vsound = 340 m/s.
Example Problems Page 25
ch17_waves2
Q16-3) A source of frequency f sends waves of wavelength ̧traveling with speed v in some medium. If the frequency is changed from f to 2f, then the new wavelength and new speed are (respectively):
A) 2 v
B) /2 v
C) 2v
D) v/2
E) /2 2v
Clicker QuestionsWednesday, May 13, 2020 1:44 PM
Clicker Questions Page 26
B) /2 v
C) 2v
D) v/2
E) /2 2v
Clicker Questions Page 27
Interference Applets:17 -
Interferen...17 -
Interferen...
https://ngsir.netfirms.com/j/Eng/waves/waves_js.htmTypes of Waves Applet:
http://physics.bu.edu/~duffy/HTML5/interference.htmlConstructive and Destructive Interference Applet:
Applets and AnimationsWednesday, May 13, 2020 1:44 PM
Applets Page 28
Thursday, May 14, 2020 11:54 AM
New Section 1 Page 29
Thursday, May 14, 2020 12:08 PM
New Section 2 Page 30