Chapter 14.2, Problem 22PP

To determine

The change in frequency if the period of the wave is doubled.

Explanation of Solution

Introduction:

Period is defined as the time needed for one total wave to pass. So, period will not rise if frequency rises. Frequency is number of cycles that occur per second and is measured in cycles per second.

The relationship between period of wave and frequency of wave is:

  $f\propto \frac{1}{T}$

Where,

f: frequency of wave.

T: time period of wave.

Doubling the period of wave, frequency of wave decreases. Frequency and period are inversely related to each other. This means doubling the period of wave halves the frequency of wave.

Conclusion:

Frequency and period are inversely related to each other.