The impedance of a material is Z=rhoc, the density times the speed of sound. Consider the following information:Zlung=0.18×106kg s/m2.Zfat=1.34×106kg s/m2.What fraction of the incident intensity of a sound pulse will be reflected when sound travels from fat into lung?

Respuesta :

Answer:

58.24%

Explanation:

[tex]\rho[/tex] = Density of material

c = Acoustic velocity

Impedance is given by

[tex]Z=\rho c[/tex]

Acoustic impedance of lung

[tex]Z_l=\rho_lc_l=0.18\times 10^6\ kgs/m^2[/tex]

Acoustic impedance of fat

[tex]Z_f=\rho_fc_f=1.34\times 10^6\ kgs/m^2[/tex]

Reflection coefficient is given by

[tex]R=\left(\frac{Z_{l}-Z_{f}}{Z_{l}+Z_{f}} \right)^2\\\Rightarrow R=\left(\frac{0.18\times 10^6-1.34\times 10^6}{0.18\times 10^6+1.34\times 10^6} \right)^2\\\Rightarrow R=0.5824[/tex]

The fraction of incident intensity of a sound pulse will be reflected when sound travels from fat into lung is 58.24%