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Question

Physics Question on Magnetism and matter

A paramagnetic sample shows a net magnetization of 8Am18\, Am^{-1} when placed in an external magnetic field of 0.6T0.6\,T at a temperature of 4K4\,K. When the same sample is placed in an external magnetic field of 0.2T0.2 \,T at a temperature of 16K16\, K. the magnetization will be

A

323Am1\frac{32}{3} Am^{-1}

B

23Am1\frac{2}{3} Am^{-1}

C

6Am16 Am^{-1}

D

2.4Am12.4 Am^{-1}

Answer

23Am1\frac{2}{3} Am^{-1}

Explanation

Solution

IBTI \propto \frac{B}{T} I2I1=B2B1×T1T2\frac{I_{2}}{I_{1}}=\frac{B_{2}}{B_{1}} \times \frac{T_{1}}{T_{2}} I2=23A/mI_{2}=\frac{2}{3} A / m