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A steel wire of length `1m`, mass `0.1kg` and uniform cross-sectional area `10^(-6)m^(2)` is rigidly fixed at both ends. The temperature of the wire is lowered by `20^(@)C`. If transverse waves are set up by plucking the string in the middle.Calculate the frequency of the fundamental mode of vibration. Given for steel `Y = 2 xx 10^(11)N//m^(2)` `alpha = 1.21 xx 10^(-5) per ^(@)C` |
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Answer» Correct Answer - 11 Hz For wire, `DeltaL=L alpha theta = (FL)/(AY)rArr D=AY alpha theta` `:. f=(1)/(2L)sqrt((F)/(mu))=(1)/(2xx1)sqrt((10^(-6)xx2xx10^(11)xx1.21 xx10^(5)xx20)/(0.1))` `=11Hz` |
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