Chapter 13, Problem 6Q

To determine

To Explain:The initial and final length and the effect of this length in the given formula.

Answer to Problem 6Q

The length is initial length and there will be less effect on change in length as the value of expansion coefficient is very small.

Explanation of Solution

Introduction:

The change in length is the difference between the initial length and final length.

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 value of thermal coefficient, $\alpha$ is so small that the value of $\Delta L$ has negligible change if it is taken the length $L_0$ as initial or final with the same temperature difference.

Conclusion:

The length is initial length and there will be less effect on change in length as the value of expansion coefficient is very small.