JEE Physics Thermal Properties Of Matter Notes Set 02

Revision Notes for JEE Physics: Thermal Properties Of Matter

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Heat, Temperature and Calorimetry

1. Heat absorbed or released: \(Q = mc\Delta T\). During a phase change \(Q = mL\) at constant temperature.
2. Principle of calorimetry: heat lost by hot bodies equals heat gained by cold bodies, if no heat escapes. Write each stage (warming, melting, warming again) separately.
3. Zeroth law: if A is in equilibrium with B and B with C, then A is in equilibrium with C. This makes temperature a well-defined property.

Thermal Expansion

1. Linear \(\Delta l = l\alpha\Delta T\). Area \(\beta = 2\alpha\). Volume \(\gamma = 3\alpha\).
2. Density falls on heating: \(\rho = \rho_0/(1+\gamma\Delta T)\).
3. A cavity or hole expands exactly as if filled with the same material.
4. A pendulum clock loses time in hot weather because \(T \propto \sqrt{l}\) and \(\Delta T/T = \tfrac{1}{2}\alpha\Delta\theta\).

Conduction, Newton's Law and Radiation

TopicResult
ConductionHeat current \(H = kA\,\Delta T/l\). In steady state, series layers carry the same \(H\), so \(\Delta T \propto 1/k\).
Newton's law of coolingRate of fall \(\propto (T - T_0)\). For small drops use \(\dfrac{T_1-T_2}{t} = K\left(\dfrac{T_1+T_2}{2} - T_0\right)\).
Stefan's lawPower radiated \(= \epsilon\sigma A T^4\). Net loss \(= \epsilon\sigma A(T^4 - T_0^4)\).
Wien's law\(\lambda_m T = b\). Peak spectral emission scales as \(T^5\).
Kirchhoff's lawGood absorbers are good emitters. Black surface absorbs and emits best, shiny surface retains heat.

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