Chapter SH, Problem 11.8APP

To determine

To Express: The wave’s speed as a decimal number.

Answer to Problem 11.8APP

Speed of the wave is $\underset{\_}{0.3\times {10}^9\text{ m/s}}$ .

Explanation of Solution

Given:

Frequency = $\text{1}\times {\text{10}}^{13}\text{ Hz}$

Wavelength = $3\times {10}^{-5}\text{ m}$

Formula used:

Speed is given by,

  $v=f\lambda$

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

Calculation:

Speed is calculated as:

  $\begin{array}{l}v=f\lambda \\ v=\left(\text{1}\times {\text{10}}^{13}\text{ Hz}\right)\left(\text{3}\times {\text{10}}^{-5}\text{ m}\right)\\ v=\text{ 300000000 m/s}\\ v=0.3\times {10}^9\text{ m/s}\end{array}$

Conclusion:

Speed of the wave is $\underset{\_}{0.3\times {10}^9\text{ m/s}}$ .