Waves · revision map · A-Level 9702, Topic 7

TOPIC 7 · WAVES
CAMBRIDGE INTERNATIONAL AS & A LEVEL PHYSICS 9702 · ONE-PAGE REVISION MAP
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WAVES7
Progressive Waves

A travelling wave carries energy, not matter; the medium only oscillates about a fixed point.

v = f λ
v = wave speed, f = frequency, λ = wavelength
  • Amplitude A, wavelength λ, period T, phase difference.
  • f = 1 / T; phase given in degrees or radians.
  • Intensity ∝ A² (and ∝ 1/r² from a point source).
A λ v
Transverse & Longitudinal

The oscillation direction sets the wave type. v = fλ holds for both.

  • Transverse: oscillation perpendicular to travel (light, water, waves on a string).
  • Longitudinal: oscillation along travel, as compressions and rarefactions (sound).
transverse
longitudinal
compression rarefaction
Sound is longitudinal, so it cannot be polarised; light is transverse, so it can.
Doppler Effect (moving source)

A moving source bunches the wavefronts ahead and stretches them behind, so the observed frequency shifts.

fo = fs v / (v ± vs)
v = wave speed, vs = source speed · minus for approach, plus for recession
  • Approaching: waves squashed, observed f rises.
  • Receding: waves stretched, observed f falls.
vs higher f lower f
EM Spectrum

Electromagnetic waves are transverse and share a vacuum speed.

c = 3.0 × 10⁸ m s⁻¹
  • Order: radio, microwave, infrared, visible, ultraviolet, X-ray, gamma.
  • Visible light spans about 400 to 700 nm.
  • Shorter λ means higher f and higher energy.
  • In any medium each band still obeys v = fλ.
gamma radio
short λ, high f  →  long λ, low f
Polarisation

Only transverse waves can be polarised; sound (longitudinal) cannot.

A polariser passes one plane of oscillation; an analyser at angle θ transmits a fraction of the intensity.

I = I₀ cos² θ
Malus's law: θ between the transmission axes
polariser analyser θ
BUILDS ON · Kinematics · Oscillations · IGCSE Waves WAVES LEADS TO · Superposition · Quantum physics
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