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A radio station has two channels. One is AM at $1020 \mathrm{kHz}$ and the other FM at $89.5 \mathrm{MHz}$. For good results you will use
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longer antenna for the AM channel and shorter for the FM
Antenna length $=\frac{\lambda}{4} \propto \lambda$
$\because \lambda \propto \frac{1}{v}$ for cosntant velocity,
$\therefore$ Antenna length $\propto \frac{1}{v}$
Here, $v_{\mathrm{AM}} < v_{\mathrm{FM}}$
$\therefore$ Antenna length for AM should be longer than that of FM.
$\because \lambda \propto \frac{1}{v}$ for cosntant velocity,
$\therefore$ Antenna length $\propto \frac{1}{v}$
Here, $v_{\mathrm{AM}} < v_{\mathrm{FM}}$
$\therefore$ Antenna length for AM should be longer than that of FM.
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