Two sources of sound placed close to each other, are emitting progressive waves given by y 1 = 4 sin 600 π t and y 2 = 5 sin 608 π t An observer located near these two sources of sound will hearNE

Question

Two sources of sound placed close to each other, are emitting progressive waves given by y 1 ​ = 4 sin 600 π t and y 2 ​ = 5 sin 608 π t An observer located near these two sources of sound will hearNEET 2012 (Screening)

TestHub · Accepted Answer

Given, y 1 ​ = 4 sin 600 π t and y 2 ​ = 5 sin 608 π t Comparing with general equation y = a sin 2 π f t we get, f 2 ​ = 300 Hz and f 2 ​ = 304 Hz Number of beats = f 2 ​ − f 1 ​ = 4 s − 1 I m i n ​ I m a x ​ ​ ​ = ( a 1 ​ − a 2 ​ a 1 ​ + a 2 ​ ​ ) 2 = ( 4 − 5 4 + 5 ​ ) 2 = 1 81 ​ ​

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