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Suppose a wave on a string is travelling at 200200 m/s right and has a frequency of 100100 Hz.What is the wavelength of such a wave in metres?

Question

Suppose a wave on a string is travelling at 200200 m/s right and has a frequency of 100100 Hz.What is the wavelength of such a wave in metres?

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Solution

The speed of a wave is given by the equation v = fλ, where v is the speed of the wave, f is the frequency, and λ is the wavelength.

Given: v = 200 m/s f = 100 Hz

We can rearrange the equation to solve for λ:

λ = v / f

Substituting the given values:

λ = 200 m/s / 100 Hz = 2 m

So, the wavelength of the wave is 2 metres.

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