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Physics module 15 · Put your knowledge to work

Waves Applications

Practise SHM, the wave equation, interference, gratings, and Doppler.

10 problem sets · Learn at your pace · Some resources require membership

From understanding to problem solving.

Your next step

Choose a problem set

Start with a familiar topic, then work towards more demanding problems.

10 of 10 sets

  1. 01Problem studio

    Simple Harmonic Motion Problems

    Periods, frequencies, ω, energy, and the restoring-force condition behind every wave.

    Open practice
  2. 02Problem studio

    Describing Waves Problems

    Wave vocabulary, v = fλ, period, phase difference, and echo timing.

    Open practice
  3. 03Problem studio

    Electromagnetic Wave Problems

    The spectrum, c = fλ, travel times, and light slowing in a medium.

    Open practice
  4. 04Problem studio

    Polarisation Problems

    Malus’s law, unpolarised light, filter stacks, and Brewster’s angle.

    Open practice
  5. 05Problem studio

    Superposition and Interference Problems

    Path difference, coherent sources, and constructive or destructive interference.

    Open practice
  6. 06Problem studio

    Young's Double Slit Problems

    Fringe spacing x = λD/a, wavelength measurement, and pattern changes.

    Open practice
  7. 07Problem studio

    Diffraction Grating Problems

    The grating equation, line spacing, order limits, and angular dispersion.

    Open practice
  8. 08Problem studio

    Stationary Wave Problems

    Nodes, antinodes, harmonics on strings, and resonating air columns.

    Open practice
  9. 09Problem studio

    Sound and Doppler Effect Problems

    Sound properties, beats, and Doppler shifts for moving sources and observers.

    Open practice
  10. 10Problem studio

    Waves Calculus Problems

    Derivatives of x = A sin ωt, maximum speed and acceleration, and SHM energy.

    Open practice
Review the foundations 4 related lessons

Extra challenging questions

Take the ideas further with course-specific extension questions, supplied-data graphs and worked solutions.