Question

According to Curie’s Law, what happens to magnetic susceptibility if absolute temperature is doubled?

• A. It doubles
• B. It is halved
• C. It remains constant
• D. It becomes zero

Hint:

Curie’s Law applies to paramagnetic materials and shows that increasing temperature weakens magnetization because thermal agitation disturbs the alignment of magnetic moments.

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The question explores the relationship between the magnetic susceptibility of a paramagnetic material and its absolute temperature as defined by Curie's Law.
Step 2: Key Formula or Approach:
Curie's Law states that magnetic susceptibility (\(\chi\)) is inversely proportional to the absolute temperature (\(T\)):
\[ \chi \propto \frac{1}{T} \quad \text{or} \quad \chi = \frac{C}{T} \]
Where \(C\) is the Curie constant.
Step 3: Detailed Explanation:
Let the initial susceptibility be \(\chi_1\) at temperature \(T_1\).
The new temperature is \(T_2 = 2T_1\).
From the inverse relation:
\[ \frac{\chi_2}{\chi_1} = \frac{T_1}{T_2} \]
Substituting \(T_2\):
\[ \frac{\chi_2}{\chi_1} = \frac{T_1}{2T_1} \]
\[ \frac{\chi_2}{\chi_1} = \frac{1}{2} \]
\[ \chi_2 = \frac{1}{2} \chi_1 \]
Thus, the susceptibility becomes half of its original value.
Step 4: Final Answer:
The magnetic susceptibility is halved.