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Quiz 1
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Physics 7C SS1 Lecture 2: Wave Model
Total Phase… and Implications for Interference
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Agenda Review Simple Harmonic Wave model Introduce total phase
Graphing practice (briefly) Introduce total phase Phase chart representation Introduce interference Causes of interference types Lots of waves: good thing is once we know the wave model, we can apply it to any situation with a wave.
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The Total Phase Making sense of the wave equation:
Using Total Phase Charts: 2π 2π Unit circle Wave 1
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Total Phase Which of the following includes only points with a total phase of exactly /2? A) All B) ABC C) ADG D) AEH E) ACF
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Total Phase Which of the following includes only points with a total phase equivalent to /2? A) All B) ABC C) ADG D) AEH E) ACF
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Fixed Phase Constant Which of the following lists only points with a fixed phase constant of exactly to /2? A) All (The wave paramaters apply at all peaks. They share the same amplitude, equilibrium, wavelength, period, and fixed phase constant) B) ABC (These were all at t=0 s for different positions) C) ADG (These were all at x=0 m for different times) D) AEH (These were all at peaks--quite likely the same peak that had traveled, and thus =/2) E) ACF (These were all at peaks, though at least A and C were different peaks. at each is equivalent to /2)
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The Total Phase Making sense of the wave equation:
Using Total Phase Charts: 2π 2π Unit circle Wave 1
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Interference: When Waves Meet
Phenomena: Interfering pulses on the wave machine Interfering block-wave Using Total Phase Equivalent total phase: Constructive Total phase separated by half-cycle: Destructive
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A vibrating object acts as the source of the wave
A vibrating object acts as the source of the wave. As a speaker moves through a cycle, it fixes the period and frequency. A = Amplitude, controlled by what starts the wave T = Period, how long to get back to where it started = Wavelength, repeat distance in space T = where f is the frequency Velocity v =
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Interfering Sound Waves
What type of interference would result? Constructive Destructive Partial No interference
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Interfering Sound Waves
+ Greater pressure fluctuations More & less intense means louder and softer Greater amplitude
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Interfering Sound Waves
+ Greater pressure fluctuations More & less intense means louder and softer Amplitude is zero
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Phase Chart for Interfering Waves
Same rough format, but add difference (most important part!) 2π 2π Unit circle Wave 1 Wave 2 Difference
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What factors might influence type of interference?
2π 2π Unit circle Wave 1 Wave 2 Difference Anything that helps determine total phase!!!
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What is responsible for the destructive interference in this case?
x=0 x=/2 x None of the above
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What is responsible for the destructive interference in this case?
x=0 x=/2 x None of the above (and other terms like =0)
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Interference for differing frequencies: Beats.
1 2 3 4 5 What type of interference occurs at each point?
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Wavefront Representation
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Wavefront Representation
How long is the marked distance? /2 T/2 T
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