(a) Show that when the tension in a string fixed at both ends is changed by a small amount dF, the frequency of the fundamental is changed by approximately df, where df f dF F Does this result apply to all harmonics (b) Use this result to find the percentage change in the tension needed to increase the frequency of the fundamental of a piano wire from 260 to 262 Hz

Question: (a) Show that when the tension in a string fixed at both ends is changed by a small amount dF, the frequency of the fundamental

(a) Show that when the tension in a string fixed at both ends is changed by a small amount dF, the frequency of the fundamental is changed by approximately df, where df/f = ½ dF/F. Does this result apply to all harmonics?

(b) Use this result to find the percentage change in the tension needed to increase the frequency of the fundamental of a piano wire from 260 to 262 Hz.

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