Question

Explain briefly analytical method of formation of beats

Answer 1

Beats are generated when two sounds have similar frequency. The effect is that the sound’s amplitude or volume oscillates or beats. The beat phenomenon is caused by constructive and destructive interference. The picture below shows
the beat generated by two tuning forks with very close frequencies.

The graph above is amplitude (sound pressure) vs. time. The period of the beat
is defined as the time from one peak to the next, or the time between
amplitude (volume) maximum.

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Answer 2

When two waves of nearly equal frequencies travelling in a medium along the same direction superimpose upon each other, beats are produced. The amptitude of the resultant sound at a point rises and falls regularly.

The intensity of the resultant sound at a point rises and falls regularly with time. When the intensity rises to maximum we call it as waxing of sound, when it falls to minimum we call it as waning of sound.

The phenomenon of waxing and waning of sound due to interference of two sound waves of nearly equal frequencies are called beats. The number of beats produced per second is called beat frequency, which is equal to the difference in frequencies of two waves.