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Calculate the fundamental frequency of a...

Calculate the fundamental frequency of a sonometer wire fo length 20cm, tension 25N, cross sectional area `10^(-2)cm^(2)` and density of material `=10^(4)kg//m^(3)`.

Text Solution

Verified by Experts

The correct Answer is:
125
Here L = 20cm = 0.20m, T = 25N,
`A=10^(-2)cm^(-2) = 10^(-6)m^2, rho= 10^(4) kg m^(-3)`
Mass per unit length of the wire,
`m= Axx1 xx rho =10^(-6)xx10^4 "kg m"^(-1)`
` = 10^(-2) "kgm"^(-1)`
Fundamental frequency of the sonometer wire is
`v=1/(2L)sqrt(T/m)=1/(2xx2.20)sqrt(25/(10^(-2)))`
`=50/(2xx0.20)=125 Hz`
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