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 .... $km/s$
Medium
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(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 ${n_1} = \frac{v}{{2l}}$
==> $2.53 = \frac{v}{{4 \times 1}}$
==> $v = 5.06 km/sec.$
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