Question

Four waves are described by the following equations, where distances are measured in meters and times...

Four waves are described by the following equations, where distances are measured in meters and times in seconds.
I. y = 0.12 cos(3x - 21t)
II. y = 0.15 sin(6x + 42t)
III. y = 0.13 cos(6x + 21t)
IV. y = -0.23 sin(3x - 42t)
Which of these waves have the same period?

answer was I and III, and also II and IV

can someone explain this because i'm lost

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Answer #1

Equation of wave has form

Here k is wavenumber and A is amplitude of wave

And omega is angular frequency of wave

So for 1 and 3 we have same value omega so they have same time period similarly 2 and 4 have same time period.

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