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 other
The number of beats heard per second is
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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