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Year 3 of the physics course of the University of Oxford

Condensed matter physics course of the University of Oxford

Past exam of the condensed matter physics course of the University of Oxford

2019

{c}

Use the ratio of the two measured coefficients so that the sample size cancels:
$$
\frac{A_2}{A_0}=-\frac{T_E^2}{12}=-\frac{7500}{25}\,\mathrm K^2=-300\,\mathrm K^2.
$$
Hence
$$
\boxed{T_E=\sqrt{12\cdot300}\,\mathrm K=60\,\mathrm K.}
$$
The units of the $7500$ coefficient are $\mathrm{J\,K}$, so that its division by $T^2$ has the same <heat capacity> units as the leading $25\,\mathrm{J\,K^{-1}}$ term.

Solution

Past exam of the condensed matter physics course of the University of Oxford / 2019 / 2 / c / Solution

Past exam of the condensed matter physics course of the University of Oxford / 2019 / 2 / c / Solution

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Past exam of the condensed matter physics course of the University of Oxford / 2019 / 2 / c / Solution

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