First slide

Travelling wave

Question

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

Moderate

A

5.06 km/s
B

6.06 km/s
C

7.06 km/s
D

8.06 km/s

Solution

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 $n_{1} = \frac{v}{2 l} \Rightarrow 2 .53 = \frac{v}{4 \times 1} \Rightarrow$ v = 5.06 km/sec.

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