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Question: A wave propagates at a velocity of 32 m/s. If its wavelength is measured to be 15 m, what is the period of the wave?
The period of the wave can be found by manipulating the basic formula for wave speed, which is: v = λf Where: v = wave speed, λ = wavelength and f = wave frequency. The wave frequency can also be described as 1/T, where T is the period of the wave. So the formula for determining the period of the wave is: T = 1/f = λ/v Given that the wavelength (λ) is 15 m, and the wave speed (v) is 32 m/s, you can substitute these values into the equation: T = λ/v = 15 m / 32 m/s = 0.46875 s So the period of the wave is approximately 0.47 seconds.
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