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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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:

Similar Questions

The adiabatic bulk modulus of a gas at a pressure $P$ is (where $\gamma$ is the ratio of specific heat capacities of the gas).

When a rubber ball is taken to a depth of $h$ meters in deep sea,its volume decreases by $0.5\, \%$. Calculate the depth $h$. (Given: Bulk modulus of rubber $B = 9.8 \times 10^{8} \, \text{N/m}^2$,Density of sea water $\rho = 10^{3} \, \text{kg/m}^3$,$g = 9.8 \, \text{m/s}^2$)

Among the three states of matter (solid,liquid,and gas),which elastic coefficient is applicable to all of them?

The volume of a material reduces by $2 \%$ when the pressure is increased from $1 \text{ atm}$ to $2 \text{ atm}$. What is its bulk modulus?

What is the relationship between the isothermal bulk modulus $E_\theta$ and the adiabatic bulk modulus $E_\phi$? (where $\gamma = C_p/C_v$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module