1.

A sonometre wire of length 1.5 m is made of steel. The tension in it produces an elastic strain of 1% . What is the fundamental frequency of steel if density and elasticity of steel are 7.7 xx 10^(3) kg/m^(3) and 2.2 xx 10^(11) N/m^(2) respectively ?

Answer»

178.2 Hz
200.5 Hz
770 Hz
188.5 Hz

Solution :Fundamental frequency , F = `(1)/(2L ) sqrt((T)/(mu))`
= `(1)/(2l ) sqrt((T)/(A rho ))`
` (1)/(2l ) sqrt(("Stress")/(rho))`
` (1)/(2l ) sqrt((Y XX "Strain")/(rho)) `
` = (1)/(2xx 1.5)sqrt( (2.2 xx 10^(11) xx 10^(-2))/(7.7 xx 10^(3)))`
= 178.2 Hz
So, Correct choice is a.


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