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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

188.5 Hz

b

178.2 Hz

c

200.5 Hz

d

770 Hz

answer is B.

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Detailed Solution

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 ?