हिंदी

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?

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प्रश्न

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?

योग
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उत्तर

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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