Question

Discuss the formation of beats analytically and hence calculate the beat

frequency​

Answer 1

FORMATION OF BEATS - DEFINITION

• Beats is an interesting phenomenon produced by interference of waves. When two sounds of slightly different frequencies are perceived at the same time, we hear a sound of similar frequency but we hear something else also : a periodic variation in volume whose rate is the difference of the two frequencies.

• The volume varies like in a tremolo as the sounds alternately interfere constructively and destructively. As the two tones gradually approach unison, the beating slows down and may become so slow as to be imperceptible.Beats can easily be recognized while tuning musical instruments.

FORMATION OF MAXIMUM AND MINIMUM AMPLITUDES FOR WAVES FORMING BEATS - DEFINITION

concept (refer the attachment No.1)

• If a graph is drawn to show the function corresponding to the total sound of two strings, it can be seen that maxima and minima are no longer constant as when a pure note is played, but change over time: when the two waves are nearly 180 degrees out of phase the maxima of one wave cancel the minima of the other, whereas when they are nearly in phase their maxima sum up, raising the perceived volume.

FIND FREQUENCY OF AMPLITUDE VARIATION FOR BEAT FORMATION - EXAMPLE

(Refer the attachment for the Beat formation Picture No.2)

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Answer 2

Answer:

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