Question

Let $C_1$ be the velocity of pressure wave travelling along rigid pipe carrying water with its bulk modulus $2.16\times {10}^{9}N/m^2$. Let $C_2$ be the velocity of pressure wave travelling along a rigid pipe carrying oil of relative density 0.600 with its bulk modulus as $1.296\times {10}^{9}N/m^2$ through a similar pipe. What will be the ratio $\frac{C_1}{C_2}$?

• A. 0.01
• B. 0.1
• C. 1.0
• D. 10.0

Answer 1

The correct option is C 1.0

Velocity of pressure wave is given by

$C=\sqrt{\frac{K}{\rho }}$

$C_1=\sqrt{\frac{2.16\times {10}^9}{1000}}$

$Now,C_2=\sqrt{\frac{1.296\times {10}^9}{0.6\times 1000}}$

$\therefore \frac{C_1}{C_2}=1$