Question

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)`.

Answer 1

`v_(1)=?l=20cm=(1)/(5)m,T=25N,`
`a=10^(2)cm^(2)=10^(-6)m^(2), rho=10^(4)kg//m^(3)`
Mass per unit length of wire,
`m=axx1xxrho=10^(-6)xx1,rho=10^(4)=10^(-2)kgm^(-1)`
`v_(1)=(1)/(2l)sqrt((T)/(m))=(1)/(2xx1//5)sqrt((25)/(10^(-2)))=(5)/(2)xx50`
`=125Hz`