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One crest and and one trough constitutes one cycle.
40 crests and 40 troughs involves 40 cycles.
Time taken for one cycle is called time period.
So, Time period = 0.4 s / (40) = 0.01 s
Frequency = 1 / Time period = 1 / (0.01 s) = 100 Hz
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Since the sound wave produces 20 crests in 0.2 second, the density of the medium at a place becomes maximum 20 times in 0.2 second. The number of times it becomes maximum in 1 second is
\begin{lgathered}\sf \frac{20}{0.2} \\ \\ \sf 10 \times 10 \\ \\ \sf 100\end{lgathered}0.22010×10100
So, the frequency is 100 times /second or 100 Hz.
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