A paramagnetic material shows a net magnetization of 8 A m -1 when placed in an external magnetic field of intensity 0 .6 T at a temperature of 4 K . When the same material is placed in an external ma

Question

A paramagnetic material shows a net magnetization of 8 A m -1 when placed in an external magnetic field of intensity 0 .6 T at a temperature of 4 K . When the same material is placed in an external magnetic field of intensity 0 .2 T at a temperature of 16 K , the magnetization will be

TestHub · Accepted Answer

According to Curie's law,

Magnetization, $I \propto \frac{Magnetic Induction (B)}{A b s o l u t e t e m p e r a t u r e (T)}$

$\Rightarrow \frac{I_{2}}{I_{1}} = \frac{B_{2} T_{1}}{B_{1} T_{2}}$

$\Rightarrow \frac{I_{2}}{8} = \frac{0.2 \times 4}{0.6 \times 16}$

$\Rightarrow I_{2} = \frac{2}{3} A m^{- 1}$

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