Question

A sonometer wire is to be divided into three segments having fundamental frequency in the rato
1.2.3. the ratio of lengths should be​

Answer 1

Answer:

The fundamental frequency for a vibrating string was seen to be inversely proportional to the length of the string when it was subjected to constant tension in the sonometer.

i.e., f α 1/l

Thus; based on the above question;

For 3 segments, with the fundamental frequency of f1 : f2 : f3, it is expressed as;

f1 : f2 : f3 = 1: 2: 3 = 1/l1 :1/l2 : 1/l3

i.e., Combining both the equations;

l1 : l2: l3 = 1/1 : 1/2 : 1/3

                = 6 : 3: 2

Thus, the ratio of the lengths of the three segments of the sonometer wire is 6 : 3 : 2.

Answer 2

Answer:

6:3:2

Explanation:

frequency is inversely proportional to length.So

1/1:1/2:1/3

6:3:2