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Two sine waves of slightly different frequencies f₁ and $f_{2} (f_{1} > f_{2})$ with zero phase difference, same amplitudes, travelling in the same direction superimpose.

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Phenomenon of beats is always observed by human ear.

Intensity of resultant wave is a constant.

Intensity of resultant wave varies periodically with time with maximum intensity 4a² and minimum intensity zero.

A maxima appears at a time $1 / [2 (f_{1} - f_{2})]$ later (or earlier) than a minima appears.

answer is C, D.

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Detailed Solution

$t = 0, \frac{1}{(f_{1} - f_{2})}, \frac{2}{(f_{1} - f_{2})}, \frac{3}{(f_{1} - f_{2})}, \dots$ are times at which maxima are obtained

$t = \frac{\frac{1}{2}}{(f_{1} - f_{2})}, \frac{\frac{3}{2}}{(f_{1} - f_{2})}, \frac{\frac{5}{2}}{(f_{1} - f_{2})}, \dots$ are times at which minima are obtained.

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