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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 longitudinal vibrations of the rod is given to be 2.53k Hz. What is the speed of sound in steel?

A

`2.5` km/s

B

4 km/s

C

5 km/s

D

6 km/s

Text Solution

Verified by Experts

The correct Answer is:
C

The longitudinal vibrations produced in the rod, clamped at its centre are similar to the vibrations to the vibrations produced in the air column in an open organ pipe .
` :. ` The fundamental frequency of the vibrating rod is
` n = v/(2L) `.
`:. v = n xx 2L = 2.5 xx 10^(3) xx 2xx1 = 5 xx 10^(3) m//s = 5 km//s`
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