Salam Academy
Paper 1 · Module

Waves

3 subtopics≈ 95 min in total
  1. Progressive waves and intensity

    A progressive wave transfers energy without transferring matter. Points one wavelength apart oscillate in phase; points half a wavelength apart are in antiphase. Phase difference (in degrees or radians) =xλ×360∘=\dfrac{x}{\lambda}\times360^\circ. Intensity, the power per unit area, is proportional to amplitude squared, and falls with the inverse square of distance from a point source.

    ≈ 35 min
  2. The Doppler effect

    When a sound source moves, its wavefronts bunch up in front and spread out behind. A stationary observer in front receives a shorter wavelength and a higher frequency; behind, a longer wavelength and lower frequency. For a source moving at vsv_s towards or away from you, fo=fsvv∓vsf_o=\dfrac{f_sv}{v\mp v_s}.

    ≈ 30 min
  3. Electromagnetic spectrum and polarisation

    All electromagnetic waves are transverse and travel at 3.00×1083.00\times10^8 m s⁻¹ in free space. Wavelengths run from kilometres (radio) to less than 10−1110^{-11} m (gamma); visible light is 400400–700700 nm. Only transverse waves can be polarised. A polariser halves unpolarised light; after that, Malus's law gives I=I0cos⁡2θI=I_0\cos^2\theta.

    ≈ 30 min