Question

The expression \(C_v=3R\) represents:

• A. Dulong and Petit's Law
• B. Debye's Law
• C. Planck's Law
• D. Wien's Law

Hint:

Dulong and Petit's law gives \(C_v=3R\) for crystalline solids at high temperature.

Answer 1

The Correct Option is A

Concept:
The molar heat capacity of a crystalline solid at high temperature is given by Dulong and Petit's law.

Step 1: Write the given expression. \[ C_v=3R \]

Step 2: Identify the law.
According to Dulong and Petit's law, the molar specific heat at constant volume for many solids is approximately: \[ C_v=3R \] where \(R\) is the universal gas constant.

Step 3: Final conclusion.
Therefore, the expression \(C_v=3R\) represents Dulong and Petit's law. \[ \therefore \text{Correct Answer is (A)} \]