General Properties of Waves

General Properties of Waves

A wave is the transfer of energy without transferring matter, as molecules vibrate but don't move along with the wave.

Types of Waves

  • Mechanical vs. Electromagnetic: Mechanical waves (e.g., sound) need a medium; electromagnetic waves (e.g., light) do not.
  • Transverse vs. Longitudinal:
    • Transverse: Particles vibrate perpendicular to wave motion (e.g., electromagnetic waves, water waves). Peaks are crests, and valleys are troughs.
    • Longitudinal: Particles vibrate parallel to wave motion (e.g., sound). They consist of compressions and rarefactions.
  • Seismic Waves: Earthquakes produce both longitudinal (P-waves, primary, underground) and transverse (S-waves, secondary, surface) waves.

Features of Waves

  • Wave Front: A line representing the crest of a wave.
  • Amplitude: Maximum displacement from the mean position; represents energy in a wave.
  • Wavelength: Distance between two successive crests or troughs, or the distance traveled during one complete oscillation.
  • Period: Time taken for one complete oscillation.
  • Frequency: Number of oscillations per unit time (Hertz).
  • Wave Speed: V=FλV = F \cdot \lambda

Behavior of Waves

  • Reflection: Change in direction when a wave hits a surface. The angle of incidence equals the angle of reflection.
    • Law of reflection states that the angle of incidence is equal to the angle of reflection, or i=ri = r. These angles are always measured from a line, that is perpendicular to the surface 9090^{\circ}.
  • Refraction: Change in speed when the medium changes; frequency remains constant.
    • Less dense to more dense: Speed and wavelength decrease; bends closer to the normal.
    • More dense to less dense: Speed and wavelength increase; bends away from the normal.
    • If a wave hits the surface at 9090^{\circ}, it doesn't bend.
  • Diffraction: Spreading of a wave as it passes through a gap or around an edge.
    • Smaller gap or larger wavelength: Spreads more.
    • Larger gap or smaller wavelength: Spreads less.

Sound Waves

  • Mechanical and Longitudinal: Needs a medium and consists of compressions and rarefactions.
  • Pressure Variation: Compressions increase air pressure, rarefactions decrease it.
  • Speed of Sound: Air (330 m/s), water (1,500 m/s), steel (5,000-6,000 m/s).
  • Speed Measurement: Use a smoke pistol to measure the distance and time the sound travels.
  • Amplitude: Affects loudness.
  • Frequency: Affects pitch.
  • Human Hearing Range: 20 Hz to 20,000 Hz; infrasound is below 20 Hz, ultrasound is above 20,000 Hz.

Ultrasound Uses

  • Sonar: Detects underwater objects.
  • Medical Imaging: Visualizes inside the human body.
  • Non-Destructive Testing: Detects cracks in materials.

Reflection (Echoes)

  • The time taken to hear an echo is the time taken for the sound to travel to the reflecting surface and back.
  • Distance calculation: speed=(2distance)/timespeed = (2 \cdot distance) / time

Electromagnetic Spectrum

  • All electromagnetic waves can travel through a vacuum at the same speed (31083 \cdot 10^8 m/s) and are transverse.
  • Ordered by frequency (increasing) and wavelength (decreasing).
  • Harmful high-frequency waves: Gamma rays, X-rays, ultraviolet.
    • Visible Light (ROYGBIV):
      • Red, Orange, Yellow, Green, Blue, Indigo, Violet

Uses

  • Radio Waves: Communication, Bluetooth, RFID.
  • Microwaves: Satellite TV, mobile phones, Wi-Fi.
  • Infrared: Heat transfer, short-range communication, remote controls.
  • Visible Light: Seeing, taking pictures.
  • Ultraviolet: Sterilizing, security markings.
  • X-rays: Medical scanning, security scans.
  • Gamma Rays: Sterilizing medical equipment and food, cancer treatment.

Satellite Communication

  • Microwaves are used for satellite communication.
  • Low-Orbit Satellites: Phones.
  • Geostationary Satellites: Broadcast TV; orbit the Earth around the equator in 24 hours.

Fiber Optics

  • Visible light and infrared waves transmit data.
  • Advantages: Transparent to light & infrared; carry high data rates.

Signal Types

  • Digital: Two values (high/low).
  • Analog: Any value within a range.
  • Digital is preferred for data transmission and range as it is less affected by noise.