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A thin wire of 99 cm is fixed at both en...

A thin wire of 99 cm is fixed at both ends as shown in figure. The wire is kept under a tension and is divided into three segments of lengths `l_(1),l_(2) and l_(3)` as shown in figure. When the wire is made to vibrate, the segment vibrate respectively with their fundamental frequencies in the ratio `1:2:3` . Then the lenghts `l_(1),l_(2),l_(3) ` of the segments respectively are (in cm)

A

27,54,18

B

18,27,54

C

54,27,18

D

27,9,14

Text Solution

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The correct Answer is:
C
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