The length of a sonometer wire between two fixed ends is 110cm. Where should the two bridges the placed so as to divide the wire into three segments, whose fundamental frequencies are in the ration` 1:2:3?`

Options

A. `60 cm, 90 cm `
B. ` 30 cm, 90 cm `
C. `40 cm , 70 cm `
D. `20 cm, 60 cm `

Answer

A

Explanation

The lengths are in the inverse ratio of the frequencies.
If ` n_(1) : n_(2) : n_(3) = 1 : 2 : 3`, then
`1_(1) : 1_(2) : 1_(3) = 1/1 : 1/2 : 1/3 = 6 : 3 :2 = 60 : 30 : 20 `
The bridges should be placed at 60 cm and 90 cm.