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A string under tension τi oscillates in the third harmonic at frequency f3, and the waves...

A string under tension τi oscillates in the third harmonic at frequency f3, and the waves on the string have wavelength λ3. If the tension is increased to τf = 3.0τi and the string is again made to oscillate in the third harmonic, what then are (a) the ratio of frequency of oscillation to f3 and (b) the ratio of the wavelength of the waves to λ3?

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Answer #1

Here we apply formula for velocity of wave on string and concept of standing wave on string.

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