The Speed of Sound in a Fluid Can Be Calculated $v = \sqrt { \frac { B } { \rho } }$

Short Answer

The speed of sound in a fluid can be calculated using the following equation: $v = \sqrt { \frac { B } { \rho } }$
where
$\begin{array} { l } v = \text { speed of sound in } \mathrm { m } / \mathrm { s } \\B = \text { bulk modulus }\end{array}$ $\rho = \text { fluid density in } \mathrm { kg } / \mathrm { m } ^ { 3 }$ What is the appropriate unit for B if the preceding equation is to be homogeneous in units? a. $m / \mathrm { s }$

b. $\frac { \mathrm { kg } } { \mathrm { m } \cdot \mathrm { s } ^ { 2 } }$

c. $\mathrm { m }$

d. $s$