First slide

Magnetic properties of materials

Question

At a temperature of $333^{0} C$ , the susceptibility of a ferromagnetic material is found to be $' χ'$ . Its susceptibility at $30^{0} C$ is

Moderate

A

$χ$
B

$0.5 χ$
C

$2 χ$
D

$11.1 χ$

Solution

According to curie’s law $χ_{m} = \frac{μ_{0} C}{T}$
$χ_{m} \propto \frac{1}{T}$
$\Rightarrow \frac{χ_{m_{1}}}{χ_{m 2}} = \frac{T_{2}}{T_{1}} \Rightarrow χ_{m_{2}} = (\frac{T_{1}}{T_{2}}) χ_{m_{1}}$
$\Rightarrow χ_{m_{2}} = (\frac{273 + 333}{273 + 30}) χ$
$\Rightarrow χ_{m_{2}} = (\frac{606}{303}) χ = 2 χ$

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