A steel rod 100 cm long is clamped at its middle. The fundamental frequency of longitudinal vibraions of the rod are givne to be 2.53kHz. What is the speed of sound in steel ?

A steel rod 100 cm long is clamped at its middle. The fundamental freq

1.	A steel rod 100 cm long is clamped at its middle. The fundamental frequency of longitudinal vibraions of the rod are givne to be 2.53kHz. What is the speed of sound in steel ?
Answer» Solution :(1) For STATIONARY waves, `LAMDA _(n) = (2L)/(n) implies lamda_(1) =2L` =WAVELENGTH of first harmonci (2) Speed of sound wave, `v = F _(1) lamda _(1) = f _(1) xx 2L = 2.53 xx 10 ^(3) xx 2 xx 1 = 5060m//s`