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A sonometer 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 $7.7 \times 10^{3} k g / m^{2}$ and $2.2 \times 10^{11} N / m^{2}$ respectively ?

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188.5 Hz

178.2 Hz

200.5 Hz

770 Hz

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detailed solution

Correct option is B

Fundamental frequency f=12lTμ=12lTm/l = 12lTm/l = 12lTAmAl=12lstressρ ⇒f = 12lY×strainρ ⇒f=12×1.52.2×1011×17.7×103×100 ⇒f=178.17 Hz

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A sonometer 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 7.7×103kg/m2 and 2.2×1011N/m2 respectively ?

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A sonometer 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 $7.7 \times 10^{3} k g / m^{2}$ and $2.2 \times 10^{11} N / m^{2}$ respectively ?