Question

For aluminum the bulk modulus of elasticity is 7.5x1010 n/m² and density is 2.7x103 kg/m3 .Find the velocity of longitudinal wave in aluminum.​

Answer 1

Answer:

Given,

σ=7.5×10

7

N/m

2

ρ=2.7×10

3

kg/m

3

Lets consider the maximum length of aluminium wire that can be hang vertically without breaking is l

Volume of wire,

V=Al

Mass of wire,

M=ρV=ρAl

When hung force acting on the wire,

F=mg=ρAlg. . . . . . .(1)

A

F

=ρlg

σ=ρlg

l=

ρg

σ

=

9.8×2.7×10

3

7.5×10

7

l=2.83×10

3

m