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The frequency is directly proportional to length multiplied by tension and mass in the length of string .derive the formula of frequency
Asked by Umeshlochab80 | 12 May, 2021, 09:24: PM
Let us start with the following relation for velocity v of standing waves in String under tension T .

Where μ is linear mass density of string ,i.e., mass per unit length.

If there are n nodes in string of length L , then wavelength λ is given by

L = ( n -1 ) ( λ / 2 )  or  λ = ( 2 L ) / ( n - 1 )

Let f be the frequency of wave

Since we know , velocity v = frequency × wavelength = f × λ

Hence
Answered by Thiyagarajan K | 12 May, 2021, 10:38: PM

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