Question

AM radio signals broadcast electromagnetic radiation at frequencies between 590 kHz and 1.50 MHz.What is the shortest wavelength of an AM radio signal?

Answer 1

Answer:

The shortest wavelength of an AM radio signal is 200 meters.

Explanation:

It is given that, AM radio signals broadcast electromagnetic radiation at frequencies between 590 kHz and 1.50 MHz.

$f_1=590\ kHz=590\times 10^3\ Hz$

The speed of electromagnetic wave is given by :

$c=f_1\lambda_1$

$\lambda_1=\dfrac{c}{f_1}$

$\lambda_1=\dfrac{3\times 10^8}{590\times 10^3}$

$\lambda_1=508.47\ m$

If $f_2=1.5\ MHz=1.5\times 10^6\ Hz$

$c=f_2\lambda_2$

$\lambda_2=\dfrac{c}{f_2}$

$\lambda_2=\dfrac{3\times 10^8}{1.5\times 10^6}$

$\lambda_2=200\ m$

So, the shortest wavelength of an AM radio signal is 200 meters. Hence, this is the required solution.