Chapter 15, Problem 38A

To determine

To calculate: Wavelength of sound in iron.

Answer to Problem 38A

Wavelength of sound in iron is $\underset{\_}{11.61\text{ m}}$ .

Explanation of Solution

Given:

Frequency of sound = $442\text{ Hz}$

The sound travels through an iron beam.

Formula used:

Wavelength is given by,

  $\lambda =\frac{v}{f}$

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

Calculation:

The speed of sound in iron = $\text{5130 m/s}$

Wavelength is calculated as:

$\begin{array}{l}\lambda =\frac{v}{f}\\ \text{ =}\frac{5130\text{ m/s}}{442\text{ Hz}}\\ \text{ =11}\text{.61 m}\end{array}$

Conclusion:

Wavelength of sound in iron is $\underset{\_}{11.61\text{ m}}$ .