FM radio broadcast 1800 kilo Hertz. what wavelength is corresponds to?

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Answer 1 · 2018-06-10T15:45:15

$λ \approx 166.7 m$ $lambda ~~ 166.7" m"$

Convert the frequency from $kHz$ $"kHz"$ to $Hz$ $"Hz"$ :

$1800 kHz \to 1.8 \times 10^{6} Hz$ $1800" kHz" to 1.8xx10^6" Hz"$

Let $f = 1.8 \times 10^{6} Hz$ $f = 1.8xx10^6" Hz"$

Let $C = 3.0 \times 10^{8} m/s$ $C= 3.0 xx 10^8" m/s"$ (the speed of the radio signal)

Let $λ =$ $lambda =$ the unknown wavelength (in meters):

$λ = \frac{C}{f}$ $lambda = C/f$

$λ = \frac{3.0 \times 10^{8} m/s}{1.8 \times 10^{6} Hz}$ $lambda = (3.0 xx 10^8" m/s")/(1.8xx10^6" Hz")$

$λ \approx 166.7 m$ $lambda ~~ 166.7" m"$