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Q.

Two sound  waves of slightly different frequencies f1 and f2   (f1>f2) with zero initial phase difference, same amplitude a, travelling in the same direction superimpose:

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a

Phenomenon of beats is always observed by human ear

b

Intensity of resultant wave is a constant

c

At a given point intensity of resultant wave varies periodically with time with maximum intensity  4a2 and minimum intensity zero

d

A maxima appears at a time  12(f1f2)  later (or earlier) than a minima appears

answer is C, D.

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Detailed Solution

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By definitions of constructive and destructive interference of equal amplitude waves option (C) is correct and by definition of beats option (D) is also correct.

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