Chapter 13, Problem 7Q

To determine

To Explain: The change in the expansion coefficient with change in the length feet or millimetres instead of meters.

Answer to Problem 7Q

The value of thermal expansion coefficient will remain same as it is independent of length of the materials.

Explanation of Solution

Introduction:

The thermal expansion is the material property.

Write the expression for the change in length.

  $\Delta L=\alpha L_0\Delta T$

In this relation :

  $\Delta L$ is change in the length

  $\alpha$ is coefficient of thermal expansion

  $\Delta T$ is the change in temperature.

  $L_0$ is the initial length.

As the expansion coefficient has the unit $C{°}^{-1}$ so it is independent of the length of the materials. The value of thermal expansion coefficient will be same whether we use the length in meters, millimetres or feet.

Conclusion:

The value of thermal expansion coefficient will remain same as it is independent of length of the materials.