Chapter 13, Problem 14Q

To determine

To check: Whether the clock will be fast or slow.

Explanation of Solution

Introduction:

The length of the pendulum is increase as the temperature is increases..

As the temperature increase form 20°C to 30°C the length of the pendulum increases. This will increase the time period by the following relation:

  $T=2\pi \sqrt{\frac{l}{g}}$

T is the time period in s

L is the length of the pendulum.

The time period is directly varying with the length of the pendulum. As the length increases the time period also increases. Thus, the clock will be slow.

Conclusion:

The time period increases as the length of the pendulum increase due to linear thermal expansion. The clock will slow as the time period increases.