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Magnetism And Matter — Physics STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 SciencePhysicsMagnetism And Matter1 Mark
Question
A paramagnetic sample shows a net magnetisation of $8Am^{-1}$ when placed in an external magnetic field of $0.6T$ at a temperature of $4K.$ When the same sample is placed in an external magnetic field of $0.2T$ at a temperature of $16K,$ the magnetisation will be
✓

Answer

From the Curie’s law explains, $\text{I}\propto\frac{\text{B}}{\text{T}}$
Here,$ B$ is magnetic field induction, $I$ is the intensity of magnetisation and $T$ is absolute temperature.
$\Rightarrow\ \Big(\frac{\text{I}_2}{\text{I}_1}\Big)=\Big(\frac{\text{B}_2}{\text{B}_1}\Big)\times\Big(\frac{\text{T}_1}{\text{T}_2}\Big)$
Given,
$I_1 = 8 Am^{-1}, B_1 = 0.6T, T_1 = 4 K, B_2 = 0.2T, T_2 = 16 K, I_2 =$ ?
By putting values in equation$ …(i),$ we have,
$\text{I}_2=\Big(\frac{2}{3}\Big)\text{Am}^{-1}.$

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