First-year university waves and optics
Study first-year university waves and optics in sequence, with optional extensions, a topic check and structured practice.
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Before you begin
UY1 waves and optics is about clean phase reasoning with explicit approximations. State why small-angle, far-field or mode assumptions are valid before you apply an equation.
Learning goals
- Represent oscillations and travelling waves in space, time, phase, and energy.
- Apply superposition, interference, diffraction, and optical-system models with stated approximations.
- Check wave and optics results using dimensions, limits, symmetry, and observable consequences.
Lessons
Work through them in order.
- Free oscillations, investigation and quantitiesDescribe oscillations by period, frequency, angular frequency and phase.From GCE A-Level H2 Physics
- The SHM restoring law and motion equationsApply a = -ω² x and the SHM relations for displacement, velocity and energy.From GCE A-Level H2 Physics
- Progressive waves, wave graphs and phase differenceRead wave graphs, use v = fλ and calculate phase difference from a path difference or a time delay.From GCE A-Level H2 Physics
- Superposition and standing wavesAdd wave displacements by superposition, locate the nodes and antinodes of stationary waves and relate string length to each harmonic.From GCE A-Level H2 Physics
- Standing sound waves in air columnsFind the modes of open and closed air columns and the wavelength of sound.From GCE A-Level H2 Physics
- Coherence and two-source interferenceState the conditions for a stable interference pattern and locate its maxima and minima.From GCE A-Level H2 Physics
- Young's double-slit experimentUse x = λ D/a and the small-angle approximation for double-slit fringes.From GCE A-Level H2 Physics
- Single-slit diffractionPredict when diffraction is significant and use b sin θ = λ to find the first minimum of a single slit.From GCE A-Level H2 Physics
- The diffraction gratingUse d sin θ = nλ to find wavelengths and the highest order of a grating.From GCE A-Level H2 Physics
- Resolution and the Rayleigh criterionApply the Rayleigh criterion to decide whether two sources are resolved.From GCE A-Level H2 Physics
- Polarisation and Malus' lawExplain polarisation as evidence that a wave is transverse and use Malus' law after a polariser.From GCE A-Level H2 Physics
Practise and check
Or choose
Topic reference
Going further
- UY1 EM spectrum & plane waves — Links optics to EM-wave transport.
- UY1 energy & momentum in EM waves — Poynting and radiation-pressure interpretation.
- UY1 standing electromagnetic waves — Standing EM mode interpretation.