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Athin wire of length of 99 cm is fixed at both ends as shown in the figure. The wire is kept under a tansion and is divided into three segments of lenghts l_(1)l_(2) and l_(3) as shown in figure. When the wire is made to vibrate, the segments vibrate respectively in the ratio 1 : 2 : 3, Then, hte lenghts l_(1),l_(2) and l_(3) of the segments respectively are (in cm) |
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Answer» 27,54,18 `(n_(1):n_(2):n_(3))=1:2:3`  `l_(1):l_(2):l_(3)=(1)/(n_(1)):(1)/(n_(2)):(1)/(3)=6:3:2` `l_(1)=(6xx99)/(11)=54` `l_(2)=(3xx99)/(11)=27` `l_(3) = (2 XX 99)/(11) = 18)` |
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