A wire whose mass is 10-3 kg/m is stretched by a load of 4kg over the two bridges of a sonometer wire 1 m apart. It is struck at its middle point. What would be the wavelength and frequency of its fundamental vibration?
1 Answer
Solution
Given,
The mass per unit length = 10-3 Kg/m
Load (m) = 4kg
Fundamental frequencies of vibration (f) =?
Length of the wire (l) = 1m
We have,
\(f=\frac1{2l}\sqrt{\frac T\mu}\)
\(=\frac1{2\times1}\sqrt{\frac{4\times10}{10^{-3}}}\)
= 100 Hz
Hence the fundamental frequency of the wire is 100 Hz.
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