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When beats are produced by two progressive waves of nearly the same frequency, which one of the following is correct

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The particle vibrates simple harmonically, with the frequency equal to the difference in the component frequencies

The amplitude of vibrations at any point change simple harmonically with a frequency proportional to the difference in the frequency of the two waves

The frequency of a beat changes as the time progresses

all the above

answer is B.

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Detailed Solution

$As y = A_{b} \sin (2 π n_{av} t)$

$where A_{b} = 2 A_{b} \cos (2 π n_{A} t)$

$where n_{A} = \frac{n_{1} - n_{2}}{2}$

When beats are produced by two progressive waves of nearly the same frequency, the amplitude of vibrations at any point change simple harmonically with a frequency proportional to the difference in the frequency of the two waves.

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