Question

If you set up the ninth harmonic on a string fixed at both ends, its frequency compared to the seventh harmonic is

• A. Higher
• B. Lower
• C. Equal
• D. None of these

Answer 1

The correct option is A Higher

Frequency of $9^{th}$ harmonic$=\frac{9}{2L}\sqrt{\frac{T}{\mu }}=n$

frequency of $7^{th}$ harmonic $=\frac{7}{2L}\sqrt{\frac{T}{\mu }}=n_1$

clearly frequency of $9^{th}$ harmonic,is higher than the seventh harmonic.