Three sound waves of equal amplitudes have frequencies (v-1), v,(v+1). They superpose to give be

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Three sound waves of equal amplitudes have frequencies...

Three sound waves of equal amplitudes have frequencies $(\mathrm{v}-1), \mathrm{v},(\mathrm{v}+1)$. They superpose to give beats. The number of beats produced per second will be
(A) 3
(B) 2
(C) 1
(D) 4

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Key Concepts

Superposition Principle

The superposition principle states that when multiple waves overlap in space, the total displacement at any point is the algebraic sum of the individual displacements of the waves. This concept is essential in understanding how complex patterns, such as interference and beats, are formed when different waves combine.

Beat Frequency

Beat frequency is a phenomenon that occurs when two waves of slightly different frequencies interfere with each other, resulting in a new waveform whose amplitude varies periodically. The beat frequency is equal to the absolute difference between the two frequencies, and this concept explains the periodic variations in loudness heard when the waves are superposed.

Wave Interference

Wave interference occurs when two or more waves meet and combine, leading to a resultant wave that may have constructive or destructive interference depending on their phase relationships. This is a fundamental concept in acoustics and wave mechanics, and it underpins the formation of phenomena such as beats in sound waves.

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