A string under tension \( \tau_{i} \) oscillates in the third harmonic at frequency \( f_{3} \),...

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A string under tension \( \tau_{i} \) oscillates in the third harmonic at frequency \( f_{3} \), and the waves on the string have wavelength \( \lambda_{3} \). If the tension is increased to \( \tau_{f}=8 \tau_{i} \) and the string is again made to oscillate in the third harmonic, what then are (a) the frequency of oscillation in terms of \( f_{3} \) and (b) the wavelength of the waves in terms of \( \lambda_{3} \) ?
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