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?

Question

asked Jan 24, 2021 166k views

1 Answer

Aaandre · Answer 1 · 2021-01-29T19:25:18+0000

Answer:

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

Step-by-step explanation:

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

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

The speed of electromagnetic wave is given by :

$c=f_1\lambda_1$

$\lambda_1=(c)/(f_1)$

$\lambda_1=(3* 10^8)/(590* 10^3)$

$\lambda_1=508.47\ m$

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

$c=f_2\lambda_2$

$\lambda_2=(c)/(f_2)$

$\lambda_2=(3* 10^8)/(1.5* 10^6)$

$\lambda_2=200\ m$

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