Question

The bulk modulus of water is $2.1\times {10}^{9}N/m^2$. The pressure required to increase the density of water by $0.1$% is:-

• A. $2.1\times {10}^{5}N/m^2$
• B. $2.1\times {10}^{3}N/m^2$
• C. $2.1\times {10}^{6}N/m^2$
• D. $2.1\times {10}^{7}N/m^2$

Answer 1

The correct option is C $2.1\times {10}^{6}N/m^2$

$\begin{array}{c}\frac{\Delta V}{V}=\frac{-\Delta P}{P}=-{10}^{-3}\\ \Rightarrow \Delta P=-B\frac{\Delta V}{V}=2.1\times {10}^9\times {10}^{-3}=2.1\times {10}^6\end{array}$