A steel rod 100cm long is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod are given to be 2.53kHz. What is the speed of sound in steel ?

Explanation

Here,` l = 100cm, 1m, v = 2.53 KHz`
`= 2.53 xx 10^(3) Hz`
When the rod is clamped at the middle, then the fundamental mode of vibration of the rod, anode is formed at the middle and antinode is formed at each end.
Therefore, it is clear from fig
`l = ( lambda)/(4)+( lambda)/( 4) = ( lambda)/(2)`
` lambda = 2l = 2m`
As `v = v lambda `
`v = 2.5 3xx10^(3) xx 2 `
`= 5.06 xx 10^(3) ms^(-1)`