Question

a carrier wave on a campus radio is broadcasting at a frequency ( f = 91.1 \text{ mhz} ). what is the wavelength ( lambda ) of the carrier wave of this radio, in meters? ( lambda = ) m

Explanation:

Step1: Convert frequency to Hz

Given \( f = 91.1\ MHz=91.1\times10^{6}\ Hz\)

Step2: Use the formula \(c = f\lambda\) (where \(c = 3\times10^{8}\ m/s\) is the speed of light)

We can solve for \(\lambda\) by \(\lambda=\frac{c}{f}\)
Substitute \(c = 3\times10^{8}\ m/s\) and \(f = 91.1\times10^{6}\ Hz\) into the formula:
\(\lambda=\frac{3\times 10^{8}}{91.1\times10^{6}}\)
\(\lambda=\frac{300}{91.1}\approx3.29\ m\)

Answer:

\(3.29\)