water & granite

[logistic_guy]

Calculate the speed of longitudinal waves in \(\displaystyle \bold{(a)}\) water and \(\displaystyle \bold{(b)}\) granite.

 

[khansaheb]

Calculate the speed of longitudinal waves in \(\displaystyle \bold{(a)}\) water and \(\displaystyle \bold{(b)}\) granite.

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[logistic_guy]

\(\displaystyle \bold{(a)}\)

The formula of the speed of longitudinal wave in fluids is:

\(\displaystyle v^2 = \frac{B}{\rho}\)

\(\displaystyle v^2 = \frac{2 \times 10^{9}}{1000}\)

This gives:

\(\displaystyle v = \textcolor{blue}{1414.2 \ \text{m/s}}\)

 

[logistic_guy]

\(\displaystyle \bold{(b)}\)

The formula of the speed of longitudinal wave in solids is:

\(\displaystyle v^2 = \frac{E}{\rho}\)

\(\displaystyle v^2 = \frac{45 \times 10^{9}}{2700}\)

This gives:

\(\displaystyle v = \textcolor{blue}{4082.5 \ \text{m/s}}\)