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A sonometer wire has a length 114 cm bet...

A sonometer wire has a length 114 cm between two fixed ends. Where should two bridges be placed to so as divide the wire into three segments whose fundamental frequencies are in the ratio 1:3:4 .

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In case of a given wire under constant tension, fundamental frequency of vibration `f prop (1//l)`.
`:. l_(1):l_(2):l_(3)=(1)/(1):(1)/(3):(1)/(4)=12:4:3`
`:.l_(1)=72 cm , l_(2)=24 cm, , l_(3)=18 cm`
`:.` First bridge is to be placed 72 cm from one end. Second bridge is to be placed
`72+24=96` cm rom one end
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