A wave source produces 10 crests and 10 troughs in 0.1 seconds. Find the frequency of the wave.

200 Hz

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500 Hz

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100 Hz

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300 Hz

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Solution

The correct option is C 100 Hz
A crest and a trough together make one wave.
So, 10 crests and 10 troughs together make 10 waves.
It is given that the time taken for 10 waves is 0.1 seconds.
We know that,
Frequency (f) of a wave is the number of waves produced in one second.
f = $\frac{N u m b e r o f w a v e s p r o d u c e d}{T i m e t a k e n}$

f = $\frac{10}{0.1}$ = 100 Hz
Thus, the frequency of the wave is 100 Hz.

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