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Question

A sound source produce 40 compressions and 40 rarefactions in 0.4 seconds? What is the frequency?

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Solution

Number of crests and trough produced = 40

Time taken, t = 0.4 second

One wave corresponds to 1 crest and 1 trough.

Hence, 40 waves is equal to 40 crests and 4 troughs.

Therefore,

Frequency of the wave,

ν = Number of waves/time taken = 40/0.4 = 100 Hz

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