Question

For a non-magnetic metal, which one of the following graphs best represents the behaviour of \(\frac{C}{T}\) vs. \(T^2\), where \(C\) is the heat capacity and \(T\) is the temperature? 

• A.
• B.
• C.
• D.

Hint:

The specific heat capacity behavior for non-magnetic metals often follows a temperature-dependent relationship, which can be visualized in a \(C/T\) vs \(T^2\) graph.

Answer 1

The Correct Option is B

- For non-magnetic metals, at low temperatures, the heat capacity behaves as \(C \propto T^3\), and for high temperatures, the heat capacity becomes constant. Thus, the graph of \(\frac{C}{T}\) vs. \(T^2\) should initially have a linear increase as \(T^2\), representing the behavior at higher temperatures. This corresponds to the graph shown in option (B).
- Other options do not match this behavior.