Q149 / 180 · COMEDK 2024 (Evening Shift) · Physics

For a paramagnetic material, the dependence of the magnetic susceptibility $\chi$ on the absolute temperature is given as

  • A
    Independent of $\mathrm{T}$
  • Correct answer
    B
    $X \propto\dfrac{1}{T}$
  • C
    $X \propto T$
  • D
    $X \propto \dfrac{1}{T^2}$

Solution

According to Curie's Law, the magnetic susceptibility $\chi$ of a paramagnetic material is inversely proportional to its absolute temperature $T$.

The mathematical expression for Curie's Law is given by $\chi = \dfrac{C}{T}$, where $C$ is the Curie constant.

Therefore, $\chi \propto \dfrac{1}{T}$.

Answer: $X \propto\dfrac{1}{T}$

Hence, the correct answer is option: 'B'.

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