CBSE Class 11-science Answered
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
Expert Answer
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 
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