Chapter 11, Problem 46R

To determine

To Find:A radio wave has a frequency of $600,000\text{Hz}$ and travels at a speed of?

Answer to Problem 46R

Wavelength of radio wave is $500\text{m}$ .

Explanation of Solution

Given:

Frequency of the radio wave $600\text{KHz}$

Speed of the radio wave is $300,000\text{km/s}$

Formula Wavelength of a radio wave

  $\lambda =\frac{v}{\mu }$  ...... (1)

Here $\lambda$ wavelength of wave, $v$ is Speed of wave in air and $\mu$ frequency of the radio wave.

Calculation:

Substitute $600\text{KHz}$ for $\mu$ , $300\text{km/s}$ for $v$ in equation (1)

  $\begin{array}{l}\lambda =\frac{v}{\mu }\\ \lambda =\frac{\text{300000}\text{km/s}}{\text{600}\text{KHz}}\\ \lambda =0.5\text{km}\\ \text{λ=}\text{500}\text{m}\end{array}$

Conclusion:

Hence, wavelength of radio wave is $500\text{m}$ .