Concept Explanations

A Level Physics Waves Explained: Complete Concept Guide

Tutopiya Editorial Team Educational Content Specialists
• 14 min read

A Level Physics Waves Explained: Complete Concept Guide

Waves are fundamental to understanding many phenomena in A Level Physics. This complete guide explains wave properties, types of waves, wave behaviors, and applications, with clear explanations and practical examples.

What are Waves?

Waves transfer energy without transferring matter. They involve:

  • Oscillation: Regular back-and-forth motion
  • Energy Transfer: Energy moves through medium
  • No Net Movement: Particles oscillate but don’t move with wave

Key Characteristics:

  • Transmit energy
  • Can travel through different media
  • Exhibit specific behaviors (reflection, refraction, diffraction)
  • Can interfere with each other

Wave Properties

Wavelength (λ)

  • Distance between two identical points on wave
  • Measured in meters (m)
  • Crest to crest or trough to trough
  • Shorter wavelength = higher frequency

Frequency (f)

  • Number of waves per second
  • Measured in Hertz (Hz)
  • 1 Hz = 1 wave per second
  • Higher frequency = shorter wavelength

Amplitude (A)

  • Maximum displacement from equilibrium
  • Measured in meters (m)
  • Related to energy: E ∝ A²
  • Larger amplitude = more energy

Period (T)

  • Time for one complete wave
  • Measured in seconds (s)
  • T = 1/f (period = 1/frequency)
  • Related to frequency

Speed (v)

  • How fast wave travels
  • Measured in m/s
  • v = fλ (speed = frequency × wavelength)
  • Depends on medium

Wave Equation

The Fundamental Equation:

  • v = fλ
  • Speed = frequency × wavelength
  • If you know two, can find third
  • Speed depends on medium, not frequency

Examples:

  • If f = 50 Hz and λ = 2 m, then v = 50 × 2 = 100 m/s
  • If v = 340 m/s and f = 1000 Hz, then λ = 340/1000 = 0.34 m

Types of Waves

Transverse Waves

  • Particles oscillate perpendicular to wave direction
  • Examples: light, water waves, electromagnetic waves
  • Can be polarized
  • Crests and troughs

Longitudinal Waves

  • Particles oscillate parallel to wave direction
  • Examples: sound, seismic P-waves
  • Compressions and rarefactions
  • Cannot be polarized

Key Differences:

  • Transverse: perpendicular oscillation
  • Longitudinal: parallel oscillation
  • Both transfer energy
  • Both follow v = fλ

Wave Behaviors

Reflection

  • Wave bounces off surface
  • Angle of incidence = angle of reflection
  • Can form standing waves
  • Examples: echo, mirrors

Refraction

  • Wave changes direction when entering new medium
  • Due to change in speed
  • Wavelength changes, frequency stays same
  • Examples: light through glass, sound through different temperatures

Diffraction

  • Wave spreads out after passing through gap or around obstacle
  • More diffraction if wavelength similar to gap size
  • Explains why we can hear around corners
  • Examples: sound around door, light through small slit

Interference

  • Two waves combine
  • Constructive: waves add (larger amplitude)
  • Destructive: waves cancel (smaller amplitude)
  • Depends on phase difference
  • Examples: beats in sound, interference patterns

Standing Waves

What are Standing Waves?

  • Formed when two identical waves travel in opposite directions
  • Nodes: points of no displacement
  • Antinodes: points of maximum displacement
  • Stationary pattern (doesn’t travel)

Formation:

  • Wave reflects and interferes with itself
  • Specific frequencies form standing waves
  • Harmonics: fundamental and overtones
  • Examples: guitar strings, organ pipes

Applications:

  • Musical instruments
  • Resonance
  • Frequency determination
  • Wave analysis

Electromagnetic Waves

Electromagnetic Spectrum:

  • Radio waves: longest wavelength, lowest frequency
  • Microwaves
  • Infrared
  • Visible light
  • Ultraviolet
  • X-rays
  • Gamma rays: shortest wavelength, highest frequency

Properties:

  • All travel at speed of light (c = 3 × 10⁸ m/s)
  • Transverse waves
  • Can travel through vacuum
  • Energy increases with frequency

Uses:

  • Radio: communication
  • Microwaves: cooking, radar
  • Infrared: heating, remote controls
  • Visible light: vision, photography
  • Ultraviolet: sterilization, tanning
  • X-rays: medical imaging
  • Gamma rays: cancer treatment

Sound Waves

Properties:

  • Longitudinal waves
  • Require medium (can’t travel in vacuum)
  • Speed: ~340 m/s in air (depends on temperature)
  • Frequency determines pitch
  • Amplitude determines loudness

Doppler Effect:

  • Frequency changes when source moves
  • Moving toward: higher frequency (higher pitch)
  • Moving away: lower frequency (lower pitch)
  • Examples: ambulance siren, radar

Applications:

  • Communication
  • Music
  • Sonar
  • Ultrasound imaging

Common Mistakes to Avoid

1. Confusing Wave Speed and Frequency

  • Speed depends on medium
  • Frequency depends on source
  • v = fλ always applies
  • Changing medium changes speed and wavelength, not frequency

2. Wave Direction vs Particle Motion

  • Wave direction: direction energy travels
  • Particle motion: direction particles oscillate
  • Different for transverse and longitudinal

3. Not Understanding Interference

  • Constructive: waves in phase, add together
  • Destructive: waves out of phase, cancel
  • Depends on path difference

Master Waves

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Understanding waves is essential for A Level Physics. Practice regularly and seek help when needed to master this fundamental concept.

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Written by

Tutopiya Editorial Team

Educational Content Specialists

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