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Question

If f1,f2,andf3 are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency f0 of the whole string is

A
f0=f1+f2+f3
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B
1f0=1f1+1f2+1f3
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C
1f0=1f1+1f2+1f3
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D
None of these
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Solution

The correct option is B 1f0=1f1+1f2+1f3
The original fundamental frequency is the harmonic mean.
1f0=1f1+1f2+1f3
This happens because we sum up the individual wavelengths and equate it to the final wavelength.
λ=vf

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