Chapter 15, Problem 65A

To determine

To identify:The frequency of the given plastic tube.

Answer to Problem 65A

The frequency of the plastic tube is $2.0\times {10}^2\text{ Hz}$ .

Explanation of Solution

Given data:

Length of the plastic tube is $\text{L}=\text{0}\text{.85 m}$ .

Speed of sound in air is $v=343\text{ m/s}$ .

Formula used:

To find the frequency, the formula used here is $f=\frac{\text{v}}{\lambda }$ .

Calculation:

First, find the wavelength.

  $\begin{array}{l}\text{Since L}=\frac{\lambda }{2}\\ \text{So, }\lambda =\text{2}\times \text{0}\text{.85}\\ =\text{1}\text{.7 m}\end{array}$

To find the frequency of the plastic tube,

  $\begin{array}{l}f=\frac{\text{v}}{\lambda }\\ =\frac{343\text{ m/s}}{1.7}\\ =2.0\times {10}^{{}^2}\text{ Hz}\end{array}$

Conclusion:

The frequency is $\text{2}\text{.0}\times {\text{10}}^2\text{ Hz}$ .