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The speed of a wave in a medium is 960 m/s. If 3600 waves are passing through a point in the medium in one minute, calculate the wavelength.

Answer :

To calculate the wavelength of a wave when given the wave speed and the number of waves passing a point in a fixed time, use the equation v = f * lambda. After finding the frequency (60 Hz), the wavelength lambda is found by dividing the speed (960 m/s) by the frequency, resulting in a wavelength of 16 meters.

The student has asked how to calculate the wavelength when the speed of a wave and the frequency are known. The wave speed equation is

v = (f * lambda),

where v is the wave speed, f is the frequency, and lambda is the wavelength.

If 3600 waves are passing through a point in one minute, we first find the frequency by dividing 3600 waves by 60 seconds, giving f = 60 Hz.

Using the wave speed v = 960 m/s provided, we can rearrange the wave speed equation to solve for wavelength:

lambda = v / f.

Plugging in the values, we get

lambda = 960 m/s / 60 Hz

= 16 m.

Therefore, the wavelength of the wave is 16 meters.

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Rewritten by : Jeany

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