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Questions  

A steel rod 100 cm long is clamped at its mid-point. The funda-mental frequency of longitudinal vibrations of the rod is given to be 2.53 kHz. What is the speed of sound in steel 

a
5.06 km/s
b
6.06 km/s
c
7.06 km/s
d
8.06 km/s

detailed solution

Correct option is A

If a rod clamped at middle, then it vibrates with similar fashion as open organ pipe vibrates as shown. Hence, fundamental frequency of vibrating rod is given by n1=v2l⇒2.53=v4×1⇒ v = 5.06 km/sec.

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