Question

A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is 2.7 × 10³ kg/m³ and its Young's modulus is 9.27 × 10¹⁰ Pa. What will be the fundamental frequency of the longitudinal vibrations ?
(1) 2.5 kHz 

(2) 10 kHz 

(3) 7.5 kHz 

(4) 5 kHz

Answer 1

Ans. (4)

Since rod is clamped at middle fundamental wave shape is as follow