Two tuning forks have frequencies 380 and 384 Hz respectively. When they are sounded together, they produce 4 beats. After hearing the maximum sound, how long will it take to hear the minimum sound

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$\frac{1}{2} \sec$

$\frac{1}{4} \sec$

$\frac{1}{8} \sec$

$\frac{1}{16} \sec$

answer is C.

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Detailed Solution

Beat period $T = \frac{1}{n_{1} ~ n_{2}} = \frac{1}{384 - 380} = \frac{1}{4} \sec$ . Hence minimum time interval between maxima and minima $t = \frac{T}{2} = \frac{1}{8} \sec .$

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