Question

A sonometer wire has a total length of 1m between the fixed ends. Two wooden bridges are placed below the wire at a distance 1/7 m from one end and 4/7 m from the other end. The three segments of wire have their fundamental frequencies in the ratio?

Answer 1

The 3 segments of the wire have ratio of length 1 : 2 : 4 .

In case of sonometer , the basic frequency will be inversely proportional to its length " l " . Then the 3 segments fundamental frequency will be as follows :

4 : 2 : 1.