What does Eduqas oscillations and thermal physics cover?

It covers vibrations with the defining condition for simple harmonic motion, the SHM equations and energy interchange, free and forced oscillations with light, heavy and critical damping and resonance, the kinetic theory of gases with the assumptions and the derivation of pV = (1/3)Nm , thermal physics with internal energy, temperature, specific heat capacity and latent heat, and the ideal gas with the gas laws and the equation of state pV = nRT.

Which equations recur most across this content?

The SHM relations $a = -\omega^2 x$, $v_\text{max} = \omega A$ and $a_\text{max} = \omega^2 A$ with $\omega = \frac{2\pi}{T}$, the periods $T = 2\pi\sqrt{\frac{m}{k}}$ and $T = 2\pi\sqrt{\frac{l}{g}}$, the kinetic theory equation $pV = \frac{1}{3}Nm\overline{c^2}$ with $\frac{1}{2}m\overline{c^2} = \frac{3}{2}kT$, the thermal relations $Q = mc\Delta\theta$ and $Q = mL$, and the ideal gas equation $pV = nRT = NkT$.

What is the most common mistake in this content?

Using degrees Celsius instead of kelvin in any gas or kinetic-theory equation. Close behind are forgetting the minus sign and the squared omega in the SHM defining equation, confusing resonance with damping, thinking the temperature changes during a change of state, and confusing the number of moles n with the number of molecules N in the equation of state.

How is the kinetic theory examined in Eduqas Physics?

Typically you state the assumptions of the kinetic model, outline the derivation of $pV = \frac{1}{3}Nm\overline{c^2}$, or use $\frac{1}{2}m\overline{c^2} = \frac{3}{2}kT$ to find a mean kinetic energy or root-mean-square speed at a given temperature. Explanation questions ask why a gas exerts pressure in terms of molecular collisions and momentum change.

How should I revise oscillations and thermal physics?

Drill the SHM calculations and the period equations, and learn the energy interchange and the resonance curve. For thermal physics, practise $Q = mc\Delta\theta$ and $Q = mL$ including multi-stage heating-and-melting problems and method-of-mixtures questions. Learn the kinetic-model assumptions and the temperature link $\frac{3}{2}kT$, and always work in kelvin for gas problems.

EnglandPhysics

Eduqas A-Level Physics Oscillations and thermal physics: SHM, resonance, kinetic theory and the gas laws

A deep-dive Eduqas A-Level Physics guide to the oscillations and thermal physics within Component 1. Covers simple harmonic motion, resonance and damping, the kinetic theory of gases, internal energy with specific heat and latent heat, and the ideal gas laws, with the calculations Eduqas repeats.

Generated by Claude Opus 4.816 min readA720QS Component 1Updated 2026-06-02

Reviewed by: AI editorial process; not yet individually human-reviewed

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What this module actually demands
Oscillations
Thermal physics and gases
How this module is examined
Check your knowledge

What this module actually demands

The oscillations and thermal physics content completes Component 1 (Newtonian Physics). It develops simple harmonic motion and resonance, then turns to the thermal behaviour of matter through the kinetic theory of gases, internal energy and the ideal gas laws. The examiners reward fluent SHM and thermal calculations, the standard kinetic-theory derivation, and precise definitions, and the specified practical on simple harmonic motion recurs in the written papers.

This guide walks through the topics in order and sets out the exam patterns Eduqas repeats. Each topic has a matching dot-point page with practice; this overview ties them together.

Oscillations

Vibrations and SHM states the defining condition $a = -\omega^2 x$ , uses the displacement, velocity and acceleration relations, applies the period equations for mass-spring and pendulum systems, and describes the interchange of kinetic and potential energy. Resonance and damping distinguishes free from forced oscillations, describes light, heavy and critical damping, states the resonance condition, and explains how damping reshapes the resonance curve.

Thermal physics and gases

Kinetic theory states the assumptions of the kinetic model, outlines the derivation of $pV = \frac{1}{3}Nm\overline{c^2}$ , and links the absolute temperature to the mean molecular kinetic energy through $\frac{1}{2}m\overline{c^2} = \frac{3}{2}kT$ . Thermal physics defines internal energy, temperature and thermal equilibrium, uses specific heat capacity with $Q = mc\Delta\theta$ , and uses specific latent heat with $Q = mL$ . The ideal gas states the gas laws, explains the absolute temperature scale, uses the equation of state $pV = nRT$ , and states when a real gas behaves ideally.

How this module is examined

A typical Eduqas profile for this content:

Calculations. Maximum speed and acceleration in SHM, period of mass-spring and pendulum systems, mean kinetic energy and rms speed, specific heat capacity and latent heat (including multi-stage problems), and ideal gas problems.
Graph questions. Displacement, velocity, acceleration and energy graphs for SHM, the resonance curve, and gas-law graphs.
Explanation and definition. The SHM defining condition, free versus forced oscillations, resonance and damping, the kinetic-model assumptions, and changes of state at constant temperature.
Derivation. The kinetic theory equation $pV = \frac{1}{3}Nm\overline{c^2}$ .

Check your knowledge

A mix of recall and calculation questions covering the module. Attempt them under timed conditions, then check against the solutions.

State the defining condition for simple harmonic motion. (2 marks)
An object in SHM has amplitude $0.050\ \text{m}$ and angular frequency $8.0\ \text{rad s}^{-1}$ . Find its maximum speed. (2 marks)
State the condition for resonance to occur. (1 mark)
Find the mean kinetic energy of a gas molecule at $350\ \text{K}$ ( $k = 1.38 \times 10^{-23}\ \text{J K}^{-1}$ ). (2 marks)
Find the energy needed to heat $1.5\ \text{kg}$ of water by $40\ \text{K}$ ( $c = 4200\ \text{J kg}^{-1}\ \text{K}^{-1}$ ). (2 marks)
State why temperatures must be in kelvin in the equation of state. (1 mark)

Solutions

Q1: The acceleration is proportional to the displacement from equilibrium and directed towards it, $a = -\omega^2 x$ .
Q2: $v_\text{max} = \omega A = 8.0 \times 0.050 = 0.40\ \text{m s}^{-1}$ .
Q3: The driving frequency equals (or is very close to) the natural frequency.
Q4: $\overline{E_k} = \frac{3}{2}kT = \frac{3}{2}(1.38 \times 10^{-23})(350) = 7.2 \times 10^{-21}\ \text{J}$ .
Q5: $Q = mc\Delta\theta = 1.5 \times 4200 \times 40 = 2.5 \times 10^{5}\ \text{J}$ .
Q6: The gas laws and equation of state are based on the absolute temperature scale, which starts at absolute zero; Celsius would give wrong ratios.

Sources & how we know this

Eduqas GCE AS/A Level Physics specification (A720QS) — WJEC Eduqas (2015)