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Following two wave trains are approaching each othery1 = a sin2000 πty2 = a sin2008 πtThe number of beats heard per second is

Question

Following two wave trains are approaching each othery1 = a sin2000 πty2 = a sin2008 πtThe number of beats heard per second is

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Solution

The number of beats heard per second is determined by the difference in frequencies of the two waves.

The frequency of a wave is given by the coefficient of 't' in the sine function, divided by 2π.

For y1, the frequency (f1) is 2000π/2π = 1000 Hz. For y2, the frequency (f2) is 2008π/2π = 1004 Hz.

The number of beats heard per second is the absolute difference between the two frequencies, which is |f2 - f1| = |1004 - 1000| = 4 beats per second.

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