Chapter 14, Problem 60A

To determine

The relationship between the amplitude and the energy of the wave it carries.

Answer to Problem 60A

The energy which is carried by a wave is proportional to the square of its amplitude.

Explanation of Solution

Introduction:

The amplitude of a wave is described as the maximum amount of displacement that is carried out by the particle on the medium form it’sposition of rest. It is the distance from the original position to the crest.

The quantity of energy that is transferred by a wave is related to the amplitude of the wave. A wave which is high has the higher amplitude and the wave which is low has the less amplitude. The transfer of energy is thus dependent on the amplitude of the wave.

The energy which is carried by a wave is proportional to the square of its amplitude.

In many of the situations like electricity and sound the power of a wave is proportional to the square of amplitude.

It is given as,

  $E\propto A^2$

Where,

  $E$ : Energy

A: Amplitude

  

Conclusion:

Therefore, the energy that wave transfers is directly proportional to the square of the amplitude of that wave.