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Physics 208, Fall 2008 Waves: Interference and Diffraction (Chap )

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Presentation on theme: "Physics 208, Fall 2008 Waves: Interference and Diffraction (Chap )"— Presentation transcript:

1 Physics 208, Fall 2008 Waves: Interference and Diffraction (Chap ) Colors in soap films, CDs, and butterfly wings Refraction of Light, and Optics (Chap ) Telescopes, microscopes, and eyes Electricity (Chap ) Capacitors & cell membranes, battery-less flashlights Magnetism (Chap ) Electromagnetic Waves (Chap. 35) Light and polarization Modern Physics (Chap ) Radiation and matter, radioactivity, nuclear fission Tuesday, Sep. 2 Phy208 Lecture 1

2 Your Professor and TAs TA consultation hours are in 2331 Chamberlin. Hours will be posted. Tuesday, Sep. 2 Phy208 Lecture 1

3 Lectures Tuesday, Thursday 12:05-12:55 2103 Chamberlin Includes
Demonstrations Examples Quick questions Honors section Friday 12:05-12:55, 2103 Chamberlin First meeting Sep. 12 (next week) Required for those signed up for honors (B or better course grade also required for honors) Tuesday, Sep. 2 Phy208 Lecture 1

4 Discussions and Labs Discussions Monday and Wednesday (begin tomorrow, Sep. 3) Weekly Q&A, group problem, quiz. Labs - start next week (3254 Chamberlin). - No lab notebook: question sheets distributed. - 10 of 11 labs must be completed to pass the course. - Complete only 10 -> lab grade reduced by 30%. If you must miss a lab: Immediately contact your TA Try to arrange for a different lab section that week If not possible, lab missed (for a good reason) can be made up only during the immediately following exam week. Tuesday, Sep. 2 Phy208 Lecture 1

5 Text: (Same as Physics 207 last semester)
Homework: (Mastering Physics) Should be able to use your login from Physics 207 Follow instructions for registering Assigned each Thursday, due 8 days later Friday at midnight. First assignment: HW1 assigned Thurs, Sep. 4 due Friday, Sep. 12 at midnight Tuesday, Sep. 2 Phy208 Lecture 1

6 Exams Three midterm exams, 1 hr 30 min each
Typically 5-6 problems (old exams at web site) Multiple choice Short answer Longer calculation Exam 1: Mon. Sep :30-7 pm Exam 2: Tue. Oct :30-7 pm Exam 3: Tue. Nov :30-7 pm Cumulative Final Exam: Mon. Dec 15, 10:05 am -12:05 pm Exams make up most of your grade (70%) Tuesday, Sep. 2 Phy208 Lecture 1

7 Grading Weight Comments Labs 10%
10 of the 11 labs required to pass the course Lab grade reduced 30% if only 10 labs completed Discussion Mon & Wed Homework Mastering Physics Exams: MTE1 MTE2 MTE3 Final 15 % 15% 25% 1:30 hrs 2:00 hrs Tuesday, Sep. 2 Phy208 Lecture 1

8 Physics Learning Center
Structured small group sessions Review sessions Practice problems Focus on concepts Opportunity to meet study partners Room 2338 Chamberlin Contact Larry Watson Room 2338 Tuesday, Sep. 2 Phy208 Lecture 1

9 Last semester: mechanical waves
This semester: electromagnetic waves Examples Sound waves Water waves Earthquake waves Medium required Wave describes displacement of medium Examples Light waves Radio waves Microwaves X-rays No medium required Can propagate in vacuum Wave describes local electric and magnetic fields Tuesday, Sep. 2 Phy208 Lecture 1

10 Common wave properties
Reflection Superposition Waves have have more ‘properties’ than particles. Here the wave can be ‘positive’; or ‘negative’. Later we will call this phase. Tuesday, Sep. 2 Phy208 Lecture 1

11 Wave properties Wave has both space and time dependence
Put card on rope halfway along room. Rope knocks off card -> shows that the moving rope has energy and can transmit some of that energy. Shows constant time intervals Tuesday, Sep. 2 Phy208 Lecture 1

12 Periodic wave Repeats continuously, moves in space
Wavelength : distance to complete one cycle Period T: time to complete one cycle Frequency f: 1/Period crest Explain on board position dependence at constant time, time dependence at constant position trough Mathematically: Tuesday, Sep. 2 Phy208 Lecture 1

13 Moving wave crests Period = 1 second Propagation speed = v
Mark wavelength on the board for these two cases Tuesday, Sep. 2 Phy208 Lecture 1

14 Same period, slower wave velocity
Period = 1 second Propagation speed = v/2 Should change this to make it same frequency (time interval between pulses), but different propagation speeds. Tuesday, Sep. 2 Phy208 Lecture 1

15 Freq., wavelength, velocity are related
Source emits a crest once every period T. This crest propagates at velocity v. By the time the source emits another crest T seconds later, the first crest has moved vT. So the distance between crests is vT. This is the wavelength of the wave Wavelength = velocity  period Tuesday, Sep. 2 Phy208 Lecture 1

16 Wave relations Velocity = Wavelength / Period v =  / T, or v = f
f = Frequency = 1 / Period = 1/T Sinusoidal traveling wave: or Tuesday, Sep. 2 Phy208 Lecture 1

17 Interference Water drop is a source of circular waves (two-dimensions here) When the waves overlap, they superimpose. In some areas they cancel, in others they reinforce. This is called interference Tuesday, Sep. 2 Phy208 Lecture 1

18 Destructive Interference in a String
Two pulses are traveling in opposite directions Net displacement = sum of individual displacements Pulses unchanged after interference Tuesday, Sep. 2 Phy208 Lecture 1

19 Destructive interference in a continuous wave
Two waves, a and b, have the same amplitude and frequency They are 1/2 wavelength out of phase When they combine, the waveforms cancel + = Tuesday, Sep. 2 Phy208 Lecture 1

20 Setting up destructive interference
Sound takes two paths to arrive at ear One path 1/2 wavelength longer than other Results in destructive interference Destructive interference for frequencies such that path length difference is 1/2 wavelength. Destructive Tuesday, Sep. 2 Phy208 Lecture 1

21 Question Two speakers each emit a 340 Hz sound wave. At what speaker separation would the sound from two speakers cancel? (sound velocity = 340 m/s) 0.1 m 0.25 m 0.5 m 1.0 m 2.0 m Tuesday, Sep. 2 Phy208 Lecture 1

22 Interference of 2 speakers
constructive interference,loud tone destructive interference quit tone crest trough Tuesday, Sep. 2 Phy208 Lecture 1

23 A little more detail Path-length difference
 = (Path 2) - (Path 1) = 0 Same distance, same phase Path 1 Path 2 Path 1 Path 2 d Tuesday, Sep. 2 Phy208 Lecture 1

24 Other angles? Path-length difference 0 Interference:
Constructive: = Destructive: = Path 1 Path 2 Do this part on board. For f = 2000 Hz, wavelength = 0.17 m. Speaker separation d=1m. Want 0.17m=1m x sin(theta)->theta=9.87. This is angle between two maxima.  = Extra path length d Tuesday, Sep. 2 Phy208 Lecture 1

25 Interference engineering
Tuesday, Sep. 2 Phy208 Lecture 1

26 Line array works by interference
Off-axis sound canceled by interference on the vertical axis. Horizontal plane unaffected Total sound intensity drops off more slowly Tuesday, Sep. 2 Phy208 Lecture 1


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