When two waves of almost equal frequency $n_{1}$ and $n_{2}$ are produced simultaneously, then the times interval between successive maxima is

\frac{1}{n_{1} + n_{2}}

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\frac{1}{n_{1}} + \frac{1}{n_{2}}

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\frac{1}{n_{1}} - \frac{1}{n_{2}}

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\frac{1}{n_{1} - n_{2}}

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Solution

The correct option is C $\frac{1}{n_{1} - n_{2}}$
The intensity of the sound is maximum in all these cases,
$2 π (\frac{n_{1} - n_{2}}{2}) \times t = n π$
$t = 0$ , $\frac{1}{n_{1} - n_{2}}$ , $\frac{2}{n_{1} - n_{2}} . . . .$
Time interval between two successive maxima = time interval between two successive beats $= \frac{1}{n_{1} - n_{2}}$

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When two waves of almost equal frequency n1 and n2 are produced simultaneously, then the times interval between successive maxima is

The correct option is C 1n1−n2The intensity of the sound is maximum in all these cases,2π(n1−n22)×t=nπt=0 ,1n1−n2, 2n1−n2....Time interval between two successive maxima = time interval between two successive beats =1n1−n2

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