Chapter 7.4, Problem 79PPE

To determine

To find: the wavelength of a radio wave is defined as speed divided by frequency. An FM radio station has a frequency of $9\times {10}^7$ waves per second. The speed of the waves is about $3\times {10}^8$ meters per second. What is the wavelength of the station?

Answer to Problem 79PPE

The required answer is: wavelength of station is 3.33 meters

Explanation of Solution

Given information:

The given information: frequency of station is $9\times {10}^7$ and speed of wave is $3\times {10}^8$

Calculation:

  $\frac{3\times {10}^8}{9\times {10}^7}=\frac{3}{9}\times {10}^{8-7}$

(Subtract exponents when dividing powers with the same base)

  $\begin{array}{l}=\frac{3}{9}\times {10}^1\\ =0.333\times 10\end{array}$

(Divide and round to thousandth)

  $=3.33$

(Simplify)

Therefore the wavelength of station is 3.33 meters