Answer:
The speed of transverse waves in the wire is 234.26 m/s.
Explanation:
Given that,
Length of wire = 129 cm
Speed of sound in air = 340 m/s
First position of resonance = 31.2 cm
We need to calculate the wavelength
For pipe open at one end and closed at other, there is node at closed end and an anti node at open end for 1st resonance.
At 1st resonance,


Put the value into the formula


We need to calculate the frequency of sound in pipe
Using formula of frequency

Put the value into the formula


We need to calculate the node distance
For the wire, there are 3 segments, so 4 nodes
Node-node distance ,



We need to calculate the wavelength of the wire
Using formula of length


Put the value into the formula


We need to calculate the speed of the wave
Using formula of frequency

Put the value into the formula


Hence, The speed of transverse waves in the wire is 234.26 m/s.