The average density of Earth's crust 10 km beneath the surface is 2.7 gm/cm³. The speed of longitudinal seismic waves at that depth is 5.4 km/s. The bulk modulus of Earth's crust considering its behaviour as fluid at that depth, is

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$7.9 \times 10^{7} Pa$

$7 .9 \times 10^{10} Pa$

$1.46 \times 10^{7} Pa$

$5.6 \times 10^{10} Pa$

answer is A.

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Detailed Solution

$\begin{matrix} v = \sqrt{\frac{B}{ρ}} \Rightarrow B = v^{2} ρ = {(5 .40 \times 10^{3} m / s)}^{2} (2 .7 \times 10^{3}) \\ = 7.9 \times 10^{10} Pa \end{matrix}$

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