Question

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

• A. Independent of T
• B. \( \chi \propto \frac{1}{T} \)
• C. \( \chi \propto T \)
• D. \( \chi \propto \frac{1}{T^{3/2}} \)

Hint:

For paramagnetic materials, remember that the magnetic susceptibility decreases as the temperature increases, and the correct relationship is given by Curie's Law, \( \chi \propto \frac{1}{T^{3/2}} \).

Answer 1

The Correct Option is D

For a paramagnetic material, the magnetic susceptibility \( \chi \) is inversely proportional to the temperature raised to the power of \( \frac{3}{2} \). This behavior is described by Curie's Law, which states: \[ \chi = \frac{C}{T^{3/2}} \] Where: - \( C \) is a constant related to the material, - \( T \) is the absolute temperature.
Thus, the magnetic susceptibility decreases with an increase in temperature for paramagnetic materials, and the relation is \( \chi \propto \frac{1}{T^{3/2}} \).