KCET · Physics · Magnetic Properties of Matter
\( x_{1} \) and \( x_{2} \) are susceptibility of a paramagnetic material at temperatures \( T_{1} K \) and \( T_{2} K \) respectively, then
- A \( x_{1}=x_{2} \)
- B \( x_{1} T_{1}=x_{2} T_{2} \)
- C \( \chi_{1} T_{2}=\chi_{2} T \)
- D \( x_{1} \sqrt{T_{1}}=x_{2} \sqrt{T_{2}} \)
Answer & Solution
Correct Answer
(B) \( x_{1} T_{1}=x_{2} T_{2} \)
Step-by-step Solution
Detailed explanation
Susceptibility is a dimensionless number. It is a measure of the extent to which a substance becomes magnetized.
Paramagnetic susceptibility \( \chi \) is given as
\(\chi=\frac{N g^{2} \beta^{2} S(S+1)}{3 K T}\)
\(\Rightarrow \chi \propto \frac{1}{T} \text { or } \chi T \propto 1\)
Therefore \( \chi_{1} T_{1}=\chi_{2} T_{2} \)
Paramagnetic susceptibility \( \chi \) is given as
\(\chi=\frac{N g^{2} \beta^{2} S(S+1)}{3 K T}\)
\(\Rightarrow \chi \propto \frac{1}{T} \text { or } \chi T \propto 1\)
Therefore \( \chi_{1} T_{1}=\chi_{2} T_{2} \)
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