Coefficient of linear expansion always ____ with the increase in temperature.

Options

A. increases
B. decreases
C. remains the same
D. doubles itself

Answer

To answer the question "Coefficient of linear expansion always ____ with the increase in temperature," we can analyze the definition and behavior of the coefficient of linear expansion.

### Step-by-Step Solution:

1. **Understanding the Coefficient of Linear Expansion**:
- The coefficient of linear expansion (α) is defined as the change in length per unit length of a material for a temperature change of 1 degree Celsius. Mathematically, it is expressed as:
\[ \alpha = \frac{\Delta L / L_0}{\Delta T} \]
where \( \Delta L \) is the change in length, \( L_0 \) is the original length, and \( \Delta T \) is the change in temperature.

2. **Behavior with Temperature**:
- The coefficient of linear expansion is generally considered a constant for a given material over a small temperature range. This means that for small changes in temperature, the value of α does not change significantly.

3. **Temperature Dependence**:
- However, it is important to note that for larger temperature ranges, the coefficient of linear expansion can vary. For many materials, as temperature increases, the coefficient of linear expansion may increase slightly, but it is not a strict rule.

4. **Conclusion**:
- For most practical purposes and within a limited temperature range, the coefficient of linear expansion remains constant. Therefore, the correct answer to the question is that the coefficient of linear expansion always **remains the same** with the increase in temperature.

### Final Answer:
The coefficient of linear expansion always **remains the same** with the increase in temperature.