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A-Level

Waves

Question

Given the length, tension and mass per unit length of a string, how is the frequency of the first harmonic found?

2 years ago

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A

Alia White


1 Answer

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First, use the formula for wave speed in terms of tension and mass per unit length to find the wave speed c.

Then use the fact that on a string the length of the string is half a wavelength for the first harmonic. This is because in a string the ends are nodes as they are clamped, and N-A-N in any stationary wave=half wavelength. Then having found the wavelength use speed=frequency x wavelength to find the frequency. In AQA there is a formula for the frequency you can use in one go.

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