The bulk modulus of water is 2.2 x 10⁹ Pa, and its density is 1.0 x 10³ kg/m³.What is the speed of sound in water? A)1.5 x 10³ m/s B)2.2 x 10³ m/s C)3.5 x 10³ m/s D)4.5 x 10³ m/s E)2.2 x 10⁶ m/s

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Quizplus · Accepted Answer

The speed of sound in a medium is given by the formula $v = \sqrt{\frac{B}{\rho}}$, where $v$ is the speed of sound, $B$ is the bulk modulus, and $\rho$ is the density of the medium. Substituting the given values, $B = 2.2 \times 10^9 \, \text{Pa}$ and $\rho = 1.0 \times 10^3 \, \text{kg/m}^3$, we find $v = \sqrt{\frac{2.2 \times 10^9}{1.0 \times 10^3}} = 1.5 \times 10^3 \, \text{m/s}$.

The Bulk Modulus of Water Is 2