If you set up the ninth harmonic on a string fixed at both ends, its frequency compared to the seventh harmonic
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(a) Frequency of $9^{t h}$ harmonic $=\frac{9}{2 L} \sqrt{\frac{T}{\mu}}=n$
frequency of $7^{t h}$ harmonic $=\frac{7}{2 L} \sqrt{\frac{T}{\mu}}=n_{1}$
clearly frequency of $9^{t h}$ harmonic,is higher than the seventh harmonic.
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