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A steel rod 100 cm long is clamped at it...

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

Text Solution

Verified by Experts

The correct Answer is:
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)`
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