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A sonometer wire of length `1.5m` 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 ?A. 188.5 HzB. 178.2 HzC. 200.5 HzD. 770 Hz |
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Answer» Correct Answer - B Fundamental frequency `f=(V)/(2l)=(1)/(2xx1.5)sqrt((T)/(eq))=(1)/(3)sqrt((yxx"strain" xxS)/(rho S))` (S `rarr` cross - section Area) `= =(1)/(3)sqrt((2.2xx10^(11)xx(1)/(100))/(7.7xx10^(3)))=178.2Hz` |
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