# The distance between a crest and the next trough in a periodic wave is wavelength/2 . how???????i am in a hurry . i want the answer as soon as possible

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In aperiodic wave wavelength is the distance between two cosecutive crests or two consecutive troughs.

Between two crests, there is a trough exactly in the middle of the two crests.

Therefore,

The distance between a crest and next trough is the half of the distance between two crests. So the distance between crest and next trough is wavelength/2.

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