Chapter 31, Problem 26A

In the preceding question, suggest a path along which the listener could walk so as not to hear alternate loud and soft sounds.

To determine

A path along which a listener could walk in order to not hear alternate loud and soft sound of loudspeakers.

Explanation of Solution

Introduction:

The superposition of two or more sound waves occupying the equal space can be defined as interference of sound waves. Hence, a pattern of interference is formed within which the amplitudes of waves may be increased, decreased or completely cancel.

Interference is said to be constructive when, the crests of the two waves overlap each other resulting in the addition of individual effects. Similarly, interference is said to be destructive when the crest of one wave is overlapping with the trough of the other resulting in reduction of individual effects.

The listener must not walk through the interference fringes; he must walk along a path perpendicular to the line connecting the two speakers and also intersect the line connecting the speakers.

Conclusion:

Hence, the listener must walk along a path perpendicular to the line that connects the speakers.