A paramagnetic sample shows a net magnetization of 8 Am–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 0.2 T at a temperature of 16K, the magnetization will be
A. \frac{32}{3}Am^{-1}

B. \frac{2}{3}Am^{-1}
C. 6Am^{-1}
D. 2.4Am^{-1}

Answers (1)

The answer is the option (b)

X \propto \frac{B}{T}

X_1=8 Am^{-1} and B_1=0.6T and T_1=4K
At T_2=16K and B_2=0.2T
X_2=\frac{X_1T_1B_2}{T_2B_1}=\frac{2}{}3 Am^{-1}

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