MHT CET · Physics · Magnetic Properties of Matter
The magnetic susceptibility of a paramagnetic material at \(-73^{\circ} \mathrm{C}\) is \(0.0075 .\) Its value at \(-173^{\circ} \mathrm{C}\) will be
- A \(0.0075\)
- B \(0.0045\)
- C \(0.0150\)
- D \(0.0030\)
Answer & Solution
Correct Answer
(C) \(0.0150\)
Step-by-step Solution
Detailed explanation
(C)
\(\chi \propto \frac{1}{\mathrm{~T}} \quad \frac{\chi_{1}}{\chi_{2}}=\frac{\mathrm{T}_{2}}{\mathrm{~T}_{1}}\)
\(T_{1}=273-73=200, \quad T_{2}=273-173=100\)
\(\therefore \quad \chi_{2}=\frac{T_{1}}{T_{2}} \times \chi_{1}=\frac{200}{100} \times 0.0075=0.0150\)
\(\chi \propto \frac{1}{\mathrm{~T}} \quad \frac{\chi_{1}}{\chi_{2}}=\frac{\mathrm{T}_{2}}{\mathrm{~T}_{1}}\)
\(T_{1}=273-73=200, \quad T_{2}=273-173=100\)
\(\therefore \quad \chi_{2}=\frac{T_{1}}{T_{2}} \times \chi_{1}=\frac{200}{100} \times 0.0075=0.0150\)
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