Question

suppose a popular fm radio station broadcasts radio waves with a frequency of 95. mhz. calculate the wavelength of these radio waves. be sure your answer has the correct number of significant digits.

Explanation:

Step1: Convert frequency unit

Convert \(95\ MHz\) to \(Hz\). Since \(1\ MHz = 10^{6}\ Hz\), then \(95\ MHz=95\times10^{6}\ Hz\).

Step2: Use the formula \(c = \lambda

u\)
The speed of light \(c = 3\times10^{8}\ m/s\), and the formula relating the speed of light (\(c\)), wavelength (\(\lambda\)), and frequency (\(
u\)) is \(c=\lambda
u\). Rearranging for \(\lambda\) gives \(\lambda=\frac{c}{
u}\).
Substitute \(c = 3\times 10^{8}\ m/s\) and \(
u=95\times 10^{6}\ Hz\) into the formula: \(\lambda=\frac{3\times 10^{8}}{95\times 10^{6}}\).

$$
LATEXBLOCK0
$$

Answer:

\(3.2\ m\)