The time period of a periodic wave is 0.02 seconds. At a particular position, there is a crest at t = 0. A trough will appear at this position when 't' is equal to
Question
The time period of a periodic wave is 0.02 seconds. At a particular position, there is a crest at t = 0. A trough will appear at this position when 't' is equal to
Solution
The time period of a wave is the time it takes for one complete cycle of the wave to pass a given point. In a wave cycle, a crest is followed by a trough. Since the time period of the wave is 0.02 seconds, this means it takes 0.02 seconds for a crest to be followed by another crest.
However, a trough is halfway through this cycle. Therefore, a trough will appear at this position when 't' is equal to half the time period of the wave.
So, 't' = 0.02 seconds / 2 = 0.01 seconds.
Therefore, a trough will appear at this position at t = 0.01 seconds.
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