question_answer 16)

A steel rod 100 cm long is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod is given to be 2.53 k Hz. What is the speed of sound in steel ?                  

Answer:

Here, L = 100 cm == 1 m, v = 2.53 k Hz = 2.53 x  Hz When the rod is clamped at the middle, then in the fundamental mode of vibration of the rod, a node is formed at the middle and antinode is formed at each end.  Therefore, as is clear from Fig. 10(NCT).9,                                     AS,