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  • A paramagnetic sample shows a net magnetism of 6 A/m when it is placed in an external magnetic field of 0.4T at a temperature of 4K. When the sample is placed in a external magnetic field of 0.3T at a temperature of 24K, then the magnetism will be:

A paramagnetic sample shows a net magnetism of 6 A/m when it is placed in an external magnetic field of 0.4T at a temperature of 4K. When the sample is placed in a external magnetic field of 0.3T at a temperature of 24K, then the magnetism will be:
Option: 1 1 A/m
Option: 2 4 A/m
Option: 3 2.25 A/m
Option: 4 0.75 A/m

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\\ \text{For paramagnetic material According to curies law} \\ \chi \propto \frac{1}{\mathrm{~T}}$\\ $\chi \propto \frac{1}{\mathrm{~T}} \\\Rightarrow \chi_{1} \mathrm{~T}_{1}=\chi_{2} \mathrm{~T}_{2}$\\ $\Rightarrow \frac{6}{0.4} \times 4=\frac{\mathrm{I}}{0.3} \times 24$ \\ $I=\frac{0.3}{0.4}=0.75 \mathrm{~A} / \mathrm{m}$

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Deependra Verma

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