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  4. The magnetic susceptibility of a paramagnetic material at - 73°C is 0.0075, its value at - 173°C will be

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Q. The magnetic susceptibility of a paramagnetic material at $- 73^{\circ}C$ is $0.0075$, its value at $- 173^{\circ}C$ will be

UP CPMTUP CPMT 2015Magnetism and Matter

Solution:

Here, $\chi_{ml}=0.0075$,
$T_{1}=-73^{\circ}C=\left(-73+273\right)K=200\,K$
$\chi_{m_2}=?, T_{2}=-173^{\circ}C=\left(-173+273\right)K=100\,K$
For paramagnetic material, magnetic susceptibility
$\chi_{m} \propto\frac{1}{T} \Rightarrow \frac{\chi_{m_2}}{\chi_{m_1}}=\frac{T_{1}}{T_{2}}=\frac{200}{100}=2$
$\therefore \, \chi_{m_2}=2\chi_{m_1}=2\times0.0075$
$= 0.0150$