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General Properties Of Waves

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Notas de aula

Wave Motion & Energy Transfer

  • Waves transfer energy without transferring matter.
  • Objects floating on water bob up and down but do not travel with the wave, showing no net movement of matter.
  • Waves are described as oscillations or vibrations about a fixed point.
  • Wave motion can be demonstrated using vibrations in ropes, springs, or water waves in a ripple tank.

A toy duck bobbing up and down on water waves, illustrating that waves transfer energy but not matter.

A toy duck bobbing up and down on water waves, illustrating that waves transfer energy but not matter.

Features of Waves

  • Wavelength (λ): distance from one point on a wave to the same point on the next wave (e.g., crest to crest). Measured in metres (m).
  • Frequency (f): number of waves passing a point per second. Measured in hertz (Hz).
  • Amplitude (A): maximum displacement from the undisturbed position to a peak or trough. Measured in metres (m).
  • Crest (peak): highest point above the equilibrium; trough: lowest point below equilibrium.
  • Wave speed (v): distance travelled by a wave each second. Measured in m/s.
  • Wavefronts represent waves from above; spacing between wavefronts indicates wavelength.

Diagram showing the amplitude and wavelength of a transverse wave, measured from the undisturbed position.

Diagram showing the amplitude and wavelength of a transverse wave, measured from the undisturbed position.

The Wave Equation

  • Wave speed equation: v = f × λ (v = wave speed in m/s, f = frequency in Hz, λ = wavelength in m).
  • Both transverse and longitudinal waves obey the wave equation.
  • Frequency and time period (T) are related: f = 1/T.
  • Example: A wave with speed 0.15 m/s and period 2 s has frequency 0.5 Hz and wavelength 0.30 m.

The wave speed formula triangle: v = f x wavelength.

The wave speed formula triangle: v = f x wavelength.

Transverse Waves

  • Transverse waves: vibrations are perpendicular to the direction of energy transfer.
  • They have peaks and troughs.
  • Can travel through solids and on liquid surfaces, but not through liquids or gases (except electromagnetic waves in vacuum).
  • Examples: electromagnetic waves (light, radio), water ripples, seismic S-waves.

Transverse wave motion in a rope: vibration at 90 degrees to the direction of wave motion and energy transfer, with wave peak and wave trough labelled.

Transverse wave motion in a rope: vibration at 90 degrees to the direction of wave motion and energy transfer, with wave peak and wave trough labelled.

Longitudinal Waves

  • Longitudinal waves: vibrations are parallel to the direction of energy transfer.
  • They consist of compressions (particles close together) and rarefactions (particles spread apart).
  • Can travel through solids, liquids, and gases, but not through a vacuum.
  • Examples: sound waves, seismic P-waves.

Longitudinal wave motion in a spring, showing compression and rarefaction relative to the direction of wave motion and energy transfer.

Longitudinal wave motion in a spring, showing compression and rarefaction relative to the direction of wave motion and energy transfer.

Reflection & Refraction

  • Reflection: a wave hits a boundary and stays in the original medium; angle of incidence equals angle of reflection.
  • Refraction: a wave passes into a different medium, changing speed, wavelength, and direction (frequency remains constant).
  • Angles are measured from the normal (line perpendicular to the boundary).
  • When waves slow down (enter denser medium), they bend towards the normal; when they speed up, they bend away from the normal.

An identical image of a tree is seen in the water due to reflection.

An identical image of a tree is seen in the water due to reflection.

Diffraction

  • Diffraction: waves spread out when passing through a narrow gap or around an obstacle.
  • The effect is most pronounced when the gap width is approximately equal to the wavelength.
  • As gap size increases relative to wavelength, diffraction becomes less noticeable.
  • Diffraction does not change the wavelength of the wave.

Diffraction through a gap: when the wavelength is greater than the gap size the waves spread out a lot; when the wavelength is much less than the gap size they spread out very little.

Diffraction through a gap: when the wavelength is greater than the gap size the waves spread out a lot; when the wavelength is much less than the gap size they spread out very little.

Slides

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Questões de prática

Prévia grátis — 8 de 56 perguntas. Cadastre-se para ver todas.
  1. 1.Which of the following correctly describes what waves transfer?

    Easy
    • AMatter
    • BEnergy
    • CBoth matter and energy
    • DNeither matter nor energy
  2. 2.State the term used to describe the distance from one point on a wave to the same point on the next wave.

    Easy
  3. 3.A wave has a frequency of 5 Hz and a wavelength of 2 m. Calculate the wave speed in m/s.

    Easy
    • A12
    • B9
    • C11
    • D10
  4. 4.In a transverse wave, the direction of vibration is parallel to the direction of energy transfer.

    Easy

    True or false?

  5. 5.Complete the sentence about longitudinal waves.

    Easy

    In a longitudinal wave, the regions where particles are close together are called ____ and the regions where particles are spread apart are called ____.

  6. 6.A wave travels from air into glass. Which of the following changes occurs?

    Medium
    • AIts frequency increases
    • BIts wavelength decreases
    • CIts speed increases
    • DIts direction remains unchanged
  7. 7.The time period of a wave is 0.02 s. Calculate its frequency in Hz.

    Easy
    • A50
    • B55
    • C45
    • D60
  8. 8.Name the wave effect that occurs when a wave passes through a narrow gap and spreads out.

    Easy

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