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 .

Options

A. `J_(1)=72cm,J_(2)=24cm,J_(3)=18cm`
B. `J_(1)=60cm,J_(2)=40cm,J_(3)=15cm`
C. `J_(1)=52cm,J_(2)=30cm,J_(3)=32cm`
D. `J_(1)=65cm,J_(2)=30cm,J_(3)=19cm`

Answer

A

Explanation

`(c)/(2J_(1)):(c)/(2J_(2)):(c)/(2J_(3))=1:3:4`
`J_(1):J_(2):J_(3)=12:4:3`