The coefficient of linear expansion of a metal rod does not depend uponthe original length of the rod

Options

A. the change in temperature of the rod
B. the specific heat of the metal
C. the nature of the metal
D. NONE

Answer

To solve the question regarding the coefficient of linear expansion of a metal rod, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Linear Expansion**:
The linear expansion of a material refers to how much its length increases per degree of temperature increase. The formula for linear expansion is given by:
\[ L = L_0 (1 + \alpha \Delta T) \]
where \( L \) is the final length, \( L_0 \) is the original length, \( \alpha \) is the coefficient of linear expansion, and \( \Delta T \) is the change in temperature.

2. **Identifying Variables**:
- \( L_0 \): Original length of the rod.
- \( \Delta T \): Change in temperature.
- \( \alpha \): Coefficient of linear expansion, which is a property of the material.

3. **Analyzing the Coefficient of Linear Expansion**:
The coefficient of linear expansion \( \alpha \) is a characteristic property of the material and is determined by the nature of the metal. It does not depend on the original length \( L_0 \) of the rod or the specific heat of the metal.

4. **Conclusion**:
Since the coefficient of linear expansion \( \alpha \) is independent of the original length of the rod, we can conclude that the statement in the question is correct. The coefficient of linear expansion does not depend on the original length of the rod.

### Final Answer:
The coefficient of linear expansion of a metal rod does not depend upon the original length of the rod.

---