Answer :
The bulk modulus of the liquid is 0.25 × [tex]10^{10}[/tex]Pa
Given ρ = 1000kg/[tex]m^{3}[/tex],n = 145 HZ, λ = 10m
We have velocity of wave v = nλ
v = 145 × 10 = 1450m/s
The velocity of longitudinal wave in a liquid of density ρ is given by.
V = √K/ρ
K = bulk modulus of liquid
1450 = [tex]\sqrt{K/1000}[/tex]
K = 0.25 × [tex]10^{10}[/tex]Pa
A substance's bulk modulus (sometimes written as "displaystyle K" or "displaystyle B") indicates how resistant it is to compression. It is described as the proportion between an increase in pressure that is infinitesimally small and the ensuing proportional decrease in volume. [1]
Shear and Young's moduli both explain how the material responds (strains) to different types of stress. The former defines how the material responds to shear stress, while the latter describes how the material responds to normal (lengthwise stretching) stress. Only the bulk modulus of a fluid has any significance. The entire generalized Hooke's law must be used to fully describe the behavior of a complex anisotropic solid like wood or paper because the information contained in these three moduli is insufficient.
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