KCET · Physics · Magnetic Properties of Matter
Magnetic susceptibility of Mg at 300 K is \(1.2 \times 10^{-5}\). What is its susceptibility at \(200 \mathrm{~K} ?\)
- A \(18 \times 10^{-3}\)
- B \(180 \times 10^{-5}\)
- C \(1.8 \times 10^{-5}\)
- D \(0.18 \times 10^{-5}\)
Answer & Solution
Correct Answer
(C) \(1.8 \times 10^{-5}\)
Step-by-step Solution
Detailed explanation
We know that magnetic susceptibility.
\(\chi \propto \frac{1}{T}\)
\(\Rightarrow \frac{\chi_2}{\chi_1}=\frac{T_1}{T_2} \Rightarrow \chi_2=\frac{T_1}{T_2} \times \chi_1\)
\(=1.2 \times 10^{-5} \times \frac{300}{200}=1.8 \times 10^{-5}\)
\(\chi \propto \frac{1}{T}\)
\(\Rightarrow \frac{\chi_2}{\chi_1}=\frac{T_1}{T_2} \Rightarrow \chi_2=\frac{T_1}{T_2} \times \chi_1\)
\(=1.2 \times 10^{-5} \times \frac{300}{200}=1.8 \times 10^{-5}\)
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