MHT CET · Physics · Magnetic Properties of Matter
' \(\chi_1{ }^{\prime},{ }^{\prime} \chi_2{ }^{\prime}\) and ' \(\chi_3{ }^{\prime}\) are susceptibilities of a paramagnetic material at temperatures ' \(\mathrm{T}_1{ }^{\prime} \mathrm{K}\), ' \(\mathrm{T}_2{ }^{\prime} \mathrm{K}\) and ' \(\mathrm{T}_3{ }^{\prime} \mathrm{K}\) respectively, then
- A \(\chi_1: \chi_2=\mathrm{T}_1: \mathrm{T}_2, \chi_2: \chi_3=\mathrm{T}_3: \mathrm{T}_2\)
- B \(\chi_1: \chi_2=\mathrm{T}_1: \mathrm{T}_2, \chi_2: \chi_3=\mathrm{T}_2: \mathrm{T}_3\)
- C \(\chi_1: \chi_2=\mathrm{T}_2: \mathrm{T}_1, \chi_2: \chi_3=\mathrm{T}_3: \mathrm{T}_2\)
- D \(\chi_1: \chi_2=\mathrm{T}_2: \mathrm{T}_1, \chi_2: \chi_3=\mathrm{T}_2: \mathrm{T}_3\)
Answer & Solution
Correct Answer
(C) \(\chi_1: \chi_2=\mathrm{T}_2: \mathrm{T}_1, \chi_2: \chi_3=\mathrm{T}_3: \mathrm{T}_2\)
Step-by-step Solution
Detailed explanation
For paramagnetic materials, \( \chi \propto \frac{1}{\mathrm{T}} \) \( \chi_1 \mathrm{T}_1 = \chi_2 \mathrm{T}_2 \implies \chi_1 : \chi_2 = \mathrm{T}_2 : \mathrm{T}_1 \)
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