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 toA 0.005 s B 0.010 s C 0.015 s D 0.025 s
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 toA 0.005 s B 0.010 s C 0.015 s D 0.025 s
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 complete cycle, a wave goes from crest to trough to crest again.
Given that the time period of the wave is 0.02 seconds, this means it takes 0.02 seconds for the wave to go from crest to crest.
However, the question is asking when the wave will be at a trough, which is halfway through the cycle. Therefore, we need to find half of the time period.
Half of 0.02 seconds is 0.01 seconds.
So, the wave will be at a trough at t = 0.01 seconds.
Therefore, the correct answer is B: 0.010 s.
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