Longitudinal waves can travel along a thin metallic rod clamped at one end.
Answer the following.
(i) Derive an expression for the speed of longitudinal waves in the rod in terms of its density ρ and Young’s modulus Y.
(ii) A brass rod has Y=9.0×1010Pa and density ρ=8.6×103kgm−3. Calculate the speed obtained from the expression derived in part (i).
(iii) The speed of sound in air at room temperature is 330ms−1. Find the ratio of the speeds in brass and in air and comment on why there is a large difference.