A source of wave produces 40 crests and 40 troughs in 0.4 second. Find the frequency of the wave.

 

Numerical: A source of wave produces 40 crests and 40 troughs in 0.4 second. Find the frequency of the wave.

Solution:

In one complete wave, there is one crest and one trough.

Given:
Number of crests = 40
Number of troughs = 40

So, number of complete waves = 40

Time taken = 0.4 s

Frequency is given by:

$$f = \frac{\text{Number of waves}}{\text{Time}}$$ $$f = \frac{40}{0.4} = 100 \text{ Hz}$$

Frequency of the wave = 100 Hz

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