Waves Power Point

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    PHYSICS 324:

    WAVES

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    Types of Waves

    Longitudinal wave

    oscillations are in the

    direction of motion

    (parallel to the motion)

    Transverse Waveoscillations areperpendicular

    to the direction of

    Motion

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    Physical Examples

    Longitudinal wave

    sound waves

    earthquake P-waves

    Transverse Wave

    water waves

    earthquake S-waves light waves

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    Wave ParametersWavelength (P) length orsize of one oscillation

    Amplitude (A) strength of disturbance (intensity)

    Frequency (f) r epetition / how often they occurper

    second

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    Wave PropertiesWaves are oscillations and they transport energy.

    Theenergy of a wave isproportional to its frequency.

    Fast oscillation = high frequency = high energy

    Slow oscillation = low frequency = low energy

    The amplitude is a measure of the wave intensity.

    SOUND: amplitudecorresponds to loudness

    LIGHT: amplitudecorresponds to brightness

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    What is the Wave length? Measure from any identical two successivepoints

    5 10 15 20 25 30 35 40 (nm)

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    What is the Wave length?

    Measure from any identical two successivepoints

    5 10 15 20 25 30 35 40

    30nm 10nm = 20nm

    (nm)

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    What is the Wave length? Measure from any identical two successivepoints

    There are 4 complete oscillations depicted here

    ONE WAVE = 1 COMPLETE OSCILLATION

    5 10 15 20 25 30 35 40

    22.5nm - 2.5nm = 20nm

    (nm)

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    Frequency Frequency = number of WAVES passing a stationarypoint

    persecond (Hertz)

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    Frequency and PeriodFrequency (f) = number of oscillationspassing bypersecond

    Period (T) = length of time for one oscillation

    T = 1/f f= 1/T

    If a source is oscillating with a period of 0.1seconds,

    what is the frequency?

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    f= 1/(0.1) = 10 HzIt will complete10 oscillations in onesecond. (10

    Hz)

    If a source oscillatesevery5seconds, itsperiod is

    5seconds, and then the frequency is????

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    f= 1/5 = 0.2 Hz.

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    Wave Speed

    Wavespeed depends on the wavelength and frequency.

    wavespeed v = Pf

    Which animal can hear a shorter wavelength?

    Cats (70,000 Hertz) or Bats (120,000 Hertz)

    P = v/f

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    Wave Speedv = Pf

    Which animal can hear a shorter wavelength?

    Cats (70,000 Hertz) or Bats (120,000 Hertz)

    P = v/f

    Higher frequency = shorter wavelength

    Lower frequency = longer wavelength

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    Doppler Effect

    Change in frequency of a wave due to relative motionbetween source and observer.

    A sound wave frequencychange is noticed as a change in

    pitch.

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    Doppler Effect forLight Waves

    Change in frequency of a wave due to relative motion betweensource and observer.

    c = Pf speed of light = wavelength x frequency

    c = 3 x 108

    m/s

    E = hf = hc/Penergy of a light wave, a photon

    of frequency (f) or wavelength (P

    h = plancksconstant 6.63 x 10-34

    J-sec

    A light wavechange in frequency is noticed as a change

    in color.

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    Constructive Interference Wavescombine without anyphase difference

    When they oscillate together (in phase)

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    Wave AdditionAmplitude ~ Intensity

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    Destructive Interference Wavescombine differing by multiples of1/2 wavelength

    They oscillate out-of-phase

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    Wave Subtraction

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    Amplitude:

    Size of wave (perpendicular to direction ofpropagation)Proportional to Intensity(Sound loudness,Light brightness)

    Wavelength:

    PSize of wave (in the direction ofpropagation)

    Frequency:

    Number of wavespassing a fixed positionpersecond

    f (cycles/second, Hertz)

    Wave Speed: v = Pf

    Frequency increases Frequency decreases

    Energy increases Energy decreases

    Wavelength decreases Wavelength increases

    Wave Properties