The susceptibility of magnetic material is \(\chi\) at 27ºC. At what temperature its susceptibility will be \(\chi/3\)?
Q.13 The susceptibility of magnetic material is \(\chi\) at 27ºC. At what temperature its susceptibility will be \(\chi/3\)?
Q.13 The susceptibility of magnetic material is \(\chi\) at 27ºC. At what temperature its susceptibility will be \(\chi/3\)?
Best answer
Answer: 900 K, i.e. 627 °C
For a paramagnetic material, by Curie’s law \(\chi=\dfrac{C}{T}\), so \(\chi_1T_1=\chi_2T_2\).
\(T_1=27+273=300\) K, \(\chi_2=\chi_1/3\).
\(T_2=\dfrac{\chi_1T_1}{\chi_2}=3T_1=3\times300=900\) K \(=900-273=627\) °C.
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