Chapter 15, Problem 44A

To determine

To calculate: Length of a pressure wave.

Answer to Problem 44A

Length of the pressure wave = $\underset{\_}{3.53\times {10}^{-4}\text{ m}}$ .

Explanation of Solution

Given:

Frequency of wave = $4.25\text{ MHz}$

Speed of wave = $1.50\text{ km/s}$

Formula used:

Wavelength is given by,

$\lambda \text{=}\frac{v}{f}$

Where $v$ is velocity and $f$ is frequency.

Calculation:

Wavelength is calculated as:

$\begin{array}{l}\lambda \text{=}\frac{v}{f}\\ \text{ =}\frac{4.25\text{ MHz}}{1.50\text{ km/s}}\\ \text{ =}\frac{4.25\times {10}^6\text{ Hz}}{1.50\times {10}^3\text{ m/s}}\\ \text{ =3}\text{.53}\times {\text{10}}^{-4}\text{ m}\end{array}$

Conclusion:

Length of the pressure wave = $\underset{\_}{3.53\times {10}^{-4}\text{ m}}$ .