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Question
For a stationary wave set up in a string having both ends fixed, what is the ratio of the fundamental frequency to the third harmonic?
Solution
Fundamental frequency of vibration, n = `1/(2l) sqrt("T"/"m")`
Frequency of third harmonic, n1 = `3/(2l) sqrt("T"/"m")`
∴ `"n"/"n"_1 = (1/(2l)sqrt("T"/"m"))/(3/(2l) sqrt("T"/"m")) = 1/3`
∴ `"n"/"n"_1 = 1/3`
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