A sonometer wire of length 120 cm is divided into three segments of lengths in the ratio of 1:2:3. What is the ratio of their fundamental frequencies?
6:3:2
The frequency of the fundamental mode is given by f=12L√Tμ.
∴f∝1L
Hence, f1:f2:f3=1L1:1L2:1L3
Now, L1=20 cm,L2=40 cm,L3=60 cm
Therefore, f1:f2:f3=120:140:160=6:3:2
Hence, the correct choice is (d).