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Question

Physics Question on mechanical properties of fluid

The bulk modulus of a liquid is 3 × 1010 Nm-2. The pressure required to reduce the volume of liquid by 2% is

A

3 × 108 Nm-2

B

9 × 108 Nm-2

C

6 × 108 Nm-2

D

12 × 108 Nm-2

Answer

6 × 108 Nm-2

Explanation

Solution

B=[ΔP(Δvv)]∵ B= [\frac{ΔP}{(-\frac{Δv}{v})}]
ΔP=3×1010×(0.02)ΔP=3×10^{10}×(0.02)
= 6 × 108 N/m2

The correct option is (C): 6 × 108 Nm–2