A string with a length of 0.75 m is fixed at both ends. (a) What is the longest possible wavelength for the traveling waves that can interfere to form a standing wave on this string? (b) If waves travel with a speed of 130 m/s on this string, what is the frequency associated with this longest wavelength?

a) Longest wavelength is:

b) The frequency associated with this longest wavelength is:

Explanation:

a)

The wavelength equation of a standing wave is given by:

Where:

We use n=1 to find the longest possible wavelength, so we will have:

b)

The speed of the wave is given by:

So we just need to find the f (frequency).

I hope it helps you!

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