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  1. Concept section

    Spring-mass oscillators →

    Teaching section in Oscillations: restoring forces, phase and energy. Build spring and pendulum models from equilibrium, then connect their motion to energy and initial conditions.

  2. Concept section

    Static equilibrium →

    Teaching section in Torque, rotational inertia and fixed-axis dynamics. Derive the axis-dependent quantities that connect turning forces to angular motion.

  3. Concept section

    Stefan–Boltzmann law →

    Teaching section in Thermal radiation and the wavelength of a spectral peak. Separate emission from net exchange, count the relevant areas and connect temperature to a broad spectrum.

  4. Concept section

    Temperature dependence of resistance →

    Teaching section in Current, resistance and circuit constraints. Connect microscopic drift to wire geometry, circuit topology and temperature-dependent power.

  5. Concept section

    Temperature scales →

    Teaching section in Units: keep the quantity, change the number. Use units as part of the calculation, including powers, rates and experimental scales.

  6. Concept section

    Thermal equilibrium →

    Teaching section in Heat balances, conduction and cooling. Track energy through mixing and phase changes, then distinguish steady heat flow from a changing temperature.

  7. Concept section

    Torque →

    Teaching section in Torque, rotational inertia and fixed-axis dynamics. Derive the axis-dependent quantities that connect turning forces to angular motion.

  8. Concept section

    Total internal reflection →

    Teaching section in Refraction, internal reflection and dispersion. Draw the normal, trace each boundary and let the geometry decide which formula applies.

  9. Concept section

    Transformers →

    Teaching section in Coupled coils and transformer reasoning. Track shared flux, winding polarity, stored energy and the load seen by the source.

  10. Concept section

    Two-dimensional collisions →

    Teaching section in Impulse, momentum and collisions. Choose the system and interval, then connect momentum exchange to centre-of-mass motion and impact outcomes.

  11. Concept section

    Uniformly accelerated reference frames →

    Teaching section in Connected bodies, sliding friction and accelerating frames. Build force equations from the system, the contact state and the geometry of each connection.

  12. Concept section

    Velocity selector →

    Teaching section in Magnetic forces, selected velocities and current-produced fields. Use cross products for direction, circular dynamics for motion and Biot–Savart geometry for field sources.

  13. Concept section

    Wave phase →

    Teaching section in Interference: phase, brightness and contrast. Predict what a detector reads by connecting path, phase and field addition.

  14. Concept section

    Wave power and intensity →

    Teaching section in Travelling waves, superposition and energy. Read a wave equation, distinguish particle motion from propagation and connect phase to energy transport.

  15. Concept section

    Wave superposition →

    Teaching section in Travelling waves, superposition and energy. Read a wave equation, distinguish particle motion from propagation and connect phase to energy transport.

  16. Concept section

    Wien’s displacement law →

    Teaching section in Thermal radiation and the wavelength of a spectral peak. Separate emission from net exchange, count the relevant areas and connect temperature to a broad spectrum.

  17. Concept section

    Young modulus experiment →

    Teaching section in Elastic response and measuring Young’s modulus. Separate material stiffness from specimen geometry, then infer a modulus from a controlled extension experiment.

  18. Concept section

    Zener voltage regulation →

    Teaching section in Semiconductor junctions, rectifiers and Zener regulation. Explain the carriers, choose a diode model and verify the operating state before trusting the output.

  19. Practice problem

    A band gap sets an absorption energy threshold →

    Intermediate · Apply a principle. What is the longest vacuum wavelength whose photon energy can bridge this gap?

  20. Practice problem

    A biconvex lens in a liquid →

    Intermediate · Connect concepts. Find its focal length in the liquid.