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Bulk Modulus

Find the char...

Question

Find the charge in volume which $1 m^{3}$ water with undergo when taken from the surface to bottom of se $1 K m$ given the bulk modulus of elasticity of water is $20, 000 N / m^{2}$

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Solution

Volume $V = 1 m^{3}$
Bulk modulus $B = 20000 N / m^{2}$
Excess pressure at 1 km depth, $Δ P = ρ g h = 1000 \times 10 \times 1000 = 10^{7} N / m^{2}$
Using $B = \frac{- V Δ P}{Δ V}$
Or $20000 = \frac{- 1 \times 10^{7}}{Δ V}$
$⟹ Δ V = - 2 \times 10^{- 3} m^{3}$

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