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QPages 286-287: Q7: HC Verma: Concepts of Physics - Volume 2 Magnetic Properties of Matter Pages 286-287: Q7 Solution: The susceptibility of magnesium at 300 K is . At what…

The susceptibility of magnesium at 300 K is 1.2×10−51.2 \times 10^{-5}. At what temperature will the susceptibility increase to 1.8×10−51.8 \times 10^{-5}?

Step-by-Step Verified Solution

**Answer:** T=200 KT = 200 \text{ K}. **Step-BY-Step Explanation:** Using Curie's law: χ∝1/T\chi \propto 1/T. Given: χ1=1.2×10−5\chi_1 = 1.2 \times 10^{-5} at T1=300 KT_1 = 300 \text{ K}, χ2=1.8×10−5\chi_2 = 1.8 \times 10^{-5}.
χ2χ1=T1T2⇒T2=T1χ1χ2=300×1.21.8=200 K\frac{\chi_2}{\chi_1} = \frac{T_1}{T_2} \Rightarrow T_2 = T_1 \frac{\chi_1}{\chi_2} = 300 \times \frac{1.2}{1.8} = 200 \text{ K}

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