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Wave Physics — Transverse Waves, Sound & Light Notes

Waves transfer energy through matter or space. Master transverse and longitudinal waves, the wave equation ($v = f\lambda$), reflection, refraction, diffraction, and sound principles with formulas and practice MCQs.

Wave Physics Study Notes

1. Wave Fundamentals

A wave transfers energy from one point to another without permanently displacing the medium. The two main types: transverse waves (oscillation perpendicular to direction of travel — e.g. light, rope waves) and longitudinal waves (oscillation parallel to direction of travel — e.g. sound).

2. Key Wave Properties

  • Amplitude (A): Maximum displacement from rest position. Determines wave intensity/energy.
  • Wavelength (λ): Distance between two identical points (crest to crest). Measured in metres.
  • Frequency (f): Number of complete cycles per second. Measured in Hertz (Hz).
  • Period (T): Time for one complete cycle. T = 1/f.
  • Wave speed (v): How fast the wave propagates. v = fλ.

3. The Wave Equation: v = fλ

Wave speed equals frequency times wavelength. This applies to all waves. If frequency doubles and wavelength halves, speed remains constant. Light travels at c = 3×10&sup8; m/s in a vacuum. Sound travels at approximately 340 m/s in air at room temperature.

4. Wave Behavior

Reflection: Wave bounces off a surface. Angle of incidence = angle of reflection.

Refraction: Wave changes speed when entering a different medium, causing it to change direction (bend). Described by Snell Law: n&sub1;sinθ&sub1; = n&sub2;sinθ&sub2;.

Diffraction: Waves spread around obstacles or through gaps. Greatest effect when wavelength ≈ gap size.

Interference: Superposition of two waves. Constructive interference (crests align) gives larger amplitude. Destructive interference (crest meets trough) gives smaller or zero amplitude.

Wave Physics Formula Sheet & Equations

Essential wave speed equations, frequency formulas, and SI units for quick revision.

Wave Equation

v = fλ

Wave speed = frequency × wavelength

Unit: m/s

Frequency

f = 1/T

Cycles per second = 1 / period

Unit: Hz (Hertz)

Period

T = 1/f

Time for one complete cycle

Unit: s (seconds)

Snell Law

n1 sinθ1 = n2 sinθ2

Law of refraction at a boundary

Unit: dimensionless

Intensity

I = P/A

Power per unit area

Unit: W/m²

Photon Energy

E = hf

Energy of a photon (h = 6.63×10&sup-34; J·s)

Unit: J (Joules)

Frequently Asked Questions About Wave Physics

Clear answers to key questions about transverse waves, longitudinal waves, and wave equations.

In a transverse wave, particles oscillate perpendicular to the direction of wave travel. Light, radio waves, seismic S-waves, and waves on a rope are all transverse. Transverse waves can be polarized; longitudinal waves cannot.
The wave equation v = fλ states wave speed equals frequency times wavelength. If a wave has frequency 440 Hz and wavelength 0.78 m, its speed is 440 × 0.78 = 343 m/s (speed of sound in air).
Transverse: particles vibrate perpendicular to wave travel (light, radio waves). Longitudinal: particles vibrate parallel to wave travel (sound). Both types transfer energy without permanently displacing the medium.
When two waves meet, they superpose (add together). Constructive interference occurs when crests align, doubling amplitude. Destructive interference occurs when crest meets trough, reducing amplitude to zero.

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Complete physics formula cheat sheet for all wave equations and exam revision.

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