Question

The bulk modulus of water is $2.0\times {10}^{9}N/m^2$ . The pressure required to increase the density of water $0.1\%$ is

• A. $2.0\times {10}^{3}N/m^2$
• B. $2.0\times {10}^{6}N/m^2$
• C. $2.0\times {10}^{5}N/m^2$
• D. $2.0\times {10}^{7}N/m^2$

Answer 1

The correct option is B $2.0\times {10}^{6}N/m^2$

$\rho \alpha V$

$\frac{\Delta V}{V}=\frac{0.1}{100}$

$B=\frac{-p}{\Delta V/V}$

$\left|B\right|=\frac{P}{\Delta V/V}$

$p=2\times {10}^9\times {10}^{-3}$

$p=2\times {10}^{6}N/m^2$