Description
A transverse wave is found to have a distance of 9 cm from a trough to a crest, a frequency of 12 Hz, and a distance of 9 cm from a crest to the nearest trough. Determine the amplitude, period, and wavelength of such a wave.
Explanation & Answer
Wavelength =18cm
We start with a wave length, 1 cycle. It has three nodes and two anti nodes. One anti node is called the crest and the other is the trough. They are 1/2 cycle apart. So a full cycle, 1 wavelength, is 18 cm.
Can't do the amplitude, not enough info. You gave us crest to trough twice, I suspect one of those should have been amplitude info.
And as the length of a wave is 1 cycle, 12 lengths per second is the frequency. And 1/12 = seconds/length is the time the wave takes to travel that one cycle. We can write this as T = 1/F for the period.
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