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

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.