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------------------------------------------------ Radio waves travel at the speed of light: [tex]3 \times 10^5 \, \text{km/s}[/tex]. What is the wavelength of radio waves received at 97.3 MHz on your FM radio dial? Answer in units of meters.

Answer :

[tex]\begin{gathered} v=3x10^5\frac{km}{s} \\ Speed\text{ in m/s} \\ 10^3\text{ m }\rightarrow1km \\ Hence \\ 3x10^5\frac{km}{s}(\frac{10^3m}{km})=3x10^8m/s \\ f=97.3MHz=97.3x10^6Hz \\ v=\lambda f \\ Solving\text{ }\lambda \\ \lambda=\frac{v}{f} \\ \\ \lambda=\frac{3x10^8m/s}{97.3x10^6Hz} \\ \\ \lambda=3.03m \\ The\text{ wavelength is 3.08m} \end{gathered}[/tex]