Chapter 9, Problem 41R

To determine

The effect on the frequency of a wave if the period of that wave is increased.

Explanation of Solution

Introduction:

Period of a wave is inversely proportional to the frequency.

Period of a wave is inversely proportional to the frequency. Mathematically, it can be expressed as,

$T=\frac{1}{f}$

Where,

• $f$ is frequency of the wave.
• $T$ is time period.

From the above, it is clear from the above relation that if the time period is increased the frequency is decreased.

Conclusion:

Therefore, the frequency decreases if the time period increased.