Answer :
The bulk modulus of the liquid is 13.31 GPa.
The bulk modulus of a substance is the degree of ways immune to compression the substance is. it's miles defined because of the ratio of the infinitesimal stress boom to the ensuing relative decrease of the volume.
Young's Modulus is the ability of any fabric to withstand the change along its duration. Bulk Modulus is the potential of any fabric to face up to the alternate in its extent. once in a while known as incompressibility, the majority modulus is a degree of the potential of a substance to withstand changes in extent while underneath compression on all aspects. it is the same to the quotient of the implemented strain divided by the relative deformation.
Calculation:-
ρ = 1300 kg/m3 , f = 400 Hz , \small \lambda = 8 m
We know that speed can be given as :
v = \small \lambda*f
i.e. calculating speed as :
v = (8 m)*(400 Hz) = 3200 m/s
The relation between speed, Bulk modulus, and density is :
v = \small \sqrt(K/\small \rho)
Calculating Bulk modulus as :
K = v2*\small \rho
= (3200 m/s)2*(1300 kg/m3)
= 13.31× 109 Pa = 13.31 GPa
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