Chapter SH, Problem 11.6APP

To determine

To calculate: Frequency of radio waves.

Answer to Problem 11.6APP

Frequency of radio waves is $\underset{\_}{7.5\times {10}^4\text{ Hz}}$ .

Explanation of Solution

Given:

Wavelength = $\text{3}\text{.0 km}$

Speed = $\text{2}\text{.26}\times {\text{10}}^5\text{ km/s}$

Formula used:

Speed is given by,

  $v=f\lambda$

where f is frequency and $\lambda$ is wavelength.

Calculation:

Frequency is calculated as:

  $\begin{array}{l}v=f\lambda \\ f=\frac{v}{\lambda }\\ f=\frac{\text{2}\text{.26}\times {\text{10}}^5\text{ km/s}}{\text{3}\text{.0 km}}\\ f\approx 75333\text{ Hz}\\ f\approx 7.5\times {10}^4\text{ Hz}\end{array}$

Conclusion:

Frequency of radio waves is $\underset{\_}{7.5\times {10}^4\text{ Hz}}$ .