Question

A steel rod 100 cm long is clamped at its middle. The fundamental frequency of loungitudinal vibrations of the fundamental frequency of longitudinal vibrations of the rod are given to be 2.53 KHz. What is the speed of soind in steel?
A. 6.2 km/s
B. 5.06 km/s
C. 7.23 km/s
D. 7.45 km/s

Answer 1

Correct Answer - B
In fundamental mode,
`l=2((lamda)/4)=lamda/4rArr lamda=2l`
Given, `l= 100cm,v=253kHz`
Using v=v`lamda`
`rArrv=2.53xx10^(3)xx2xx1000xx10^(-2)`
`rArrv=2.53xx10^(3)xx2xx1000xx10^(-2)`