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Q.

Two sources of sound placed close to each other are emitting progressive waves given by y1 = 4 sin 600 πt and y2 = 5 sin 608 πt. An observer located near these two sources of sound will hear:

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a

4 beats per second with intensity ratio 81 :1 between waxing and waning

b

4 beats per second with intensity ratio 25 : 16 between waxing and waning

c

8 beats per second with intensity ratio 25 : 16 between waxing and waning

d

8 beats per second with intensity ratio 81 : 1 between waxing and waning

answer is A.

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Detailed Solution

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I1I2 = (A1+A2)2(A1-A2)2 = 811

Beat frequency = 304 - 300 = 4 Hz.

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