The fractional compression $(\frac{ΔV}{V})$ of water at the depth of 2.5 km below the sea level is ________%. Given, the Bulk modulus of water = 2 × 10⁹ Nm^–2, density of water = 10³ kg m^–3, acceleration due to gravity = g = 10 ms^–2.

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1.75

1.0

1.5

1.25

answer is D.

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Detailed Solution

$\begin{array}{l} B = \frac{ρgh}{(\frac{Δv}{v})} \\ \frac{Δv}{v} \times 100 = \frac{ρgh}{B} \times 100 \\ \frac{1000 \times 10 \times 2.5 \times 10^{3}}{2 \times 10^{9}} \times 100 % \end{array}$
= 1.25 %

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