JEE Mains · Physics · STD 12 - 5. Magnetism and matter
A paramagnetic material has \(10^{28}\,atoms/m^3.\) Its magnetic susceptibility at temperature \(350\,K\) is \(2.8 \times 10^{-4}.\) Its susceptibility at \(300\,K\) is
- A \(3.267\times 10^{-4}\)
- B \(3.672\times 10^{-4}\)
- C \(3.726\times 10^{-4}\)
- D \(2.672\times 10^{-4}\)
Answer & Solution
Correct Answer
(A) \(3.267\times 10^{-4}\)
Step-by-step Solution
Detailed explanation
For paramagnetic materials \(\chi \propto \frac{1}{\mathrm{T}}\) \(\frac{\chi _{1}}{\chi _{2}}=\frac{T_{2}}{T_{1}}\) \(\Rightarrow \chi _{2}=\frac{T_{1}}{T_{2}} \times \chi _{1}=\frac{350}{300} \times 2.8 \times 10^{-4}\) \(=3.267 \times 10^{-4}\)
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