A wave produces 40 crests and 40 troughs in 0.2 seconds. Calculate the frequency of the wave.

200 H z

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300 H z

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400 H z

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500 H z

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Solution

The correct option is A $200 H z$
We know that one crest and one trough makes one oscillation. Therefore, 40 crests and 40 troughs make 40 oscillations.
The time taken for 40 oscillations $= 0.2 s$ .
Frequency $= \frac{N o . o f o s c i l l a t i o n s}{T i m e t a k e n} = \frac{40}{(0.2 s)} = 200 H z$

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