Question

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

• A. $0.0045$
• B. $0.0030$
• C. $0.015$
• D. $0.0075$

Answer 1

Answer: (C)

$0.015$

Given that

$X_1=0.075at{T}_1=-{73}^o$ and $T_2=-{173}^{o}C$$

According to Curie's Law:-

$X=\frac{C}{T}$ where $C$ is constant

$⟹X_1\propto \frac{1}{T_1}$

$\therefore \frac{X_2}{X_1}=\frac{T_1}{T_2}$

$⟹X_2=X_1\times \frac{T_1}{T_2}=0.0075\times \frac{273-73}{273-173}=0.015$

$\therefore$ Magnetic susceptibility of a paramagnetic material at $-{73}^o$ is $0.015$ or $1.5\times {10}^{-2}$