Question

If a wave has a speed of 362 m/s and a period of 4. 17 ms, what is its wavelength?.

Answer 1

Important Formulas:

`v=\lambda f`

velocity(measured in m/s) = wavelength(measured in meters) * frequency(measured in hertz)

`f=(1)/(T)`

frequency(measured in hertz) = 1 / period(measured in seconds)

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Given:

`v=362m/s`

`T=4.17s`

`\lambda=?`

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Finding frequency:

`f=(1)/(T)`

`f=(1)/(4.17)`

`f=0.24Hz`

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Rearranging formula for velocity to make wavelength the subject:

`v=\lambda f`

`(v)/(f) =(\lambda f)/(f)`

`\lambda=(v)/(f)`

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Finding wavelength:

`\lambda=(v)/(f)`

`\lambda=(362)/(0.24)`

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`\boxed{\lambda=1508.33m}`