The average density of Earth's crust 10 km b | vedclass

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(A) The speed of longitudinal waves in a fluid is given by the formula $v = \sqrt{\frac{B}{\rho}}$,where $B$ is the bulk modulus and $\rho$ is the den

Vedclass · Accepted Answer

$7.9 	imes 10^{10} \ Pa$

Vedclass · Answer

(A) The speed of longitudinal waves in a fluid is given by the formula $v = \sqrt{\frac{B}{ho}}$,where $B$ is the bulk modulus and $ho$ is the density.Given:Density $ho = 2.7 \ g/cm^3 = 2.7 	imes 10^3 \ kg/m^3$.Speed $v = 5.4 \ km/s = 5.4 	imes 10^3 \ m/s$.Rearranging the formula for $B$:$B = ho v^2$Substituting the values:$B = (2.7 	imes 10^3) 	imes (5.4 	imes 10^3)^2$$B = 2.7 	imes 10^3 	imes 29.16 	imes 10^6$$B = 78.732 	imes 10^9 \ Pa$$B \approx 7.9 	imes 10^{10} \ Pa$.

The average density of Earth's crust $10 \ km$ beneath the surface is $2.7 \ g/cm^3$. The speed of longitudinal seismic waves at that depth is $5.4 \ km/s$. The bulk modulus of Earth's crust,considering its behavior as a fluid at that depth,is:

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