The AM frequencies of a radio dial range from 550 kHz, and the FM frequencies range of 88.0 MHz to MHz. all of these radio waves travel at a speed of 3.0x10^8 m/s, what are the wavelenght ranges of a.) the aM brand b.) FM brand

a. AM band:

L1 = V/F = 3*10^8/5.5*10^5 =
L2 = 3*10^8/1.585*10^6

b. FM band:
L1 = V/F = 3*10^8/8.8*10^7 =
L2 = 3*10^8/1.08*10^8 =

f so LG so*8,8645''4-93,6*4,4

To calculate the wavelength range for the AM and FM brands, we need to use the equation:

wavelength = speed of light / frequency

a) For the AM brand:

The frequency range for AM frequencies is given as 550 kHz. To convert this to Hz, we multiply by 10^3:

frequency = 550 kHz * 10^3 = 550,000 Hz

Using the equation, we can calculate the wavelength:

wavelength = (3.0x10^8 m/s) / (550,000 Hz) = 545.45 meters

So, the wavelength range for the AM brand is approximately 545.45 meters.

b) For the FM brand:

The frequency range for FM frequencies is given as 88.0 MHz to MHz. To convert these values to Hz, we multiply by 10^6:

Starting frequency = 88.0 MHz * 10^6 = 88,000,000 Hz
Ending frequency = 108.0 MHz * 10^6 = 108,000,000 Hz

Using the equation, we can calculate the wavelength for both the starting and ending frequencies:

Starting wavelength = (3.0x10^8 m/s) / (88,000,000 Hz) = 3.41 meters
Ending wavelength = (3.0x10^8 m/s) / (108,000,000 Hz) = 2.78 meters

So, the wavelength range for the FM brand is approximately 2.78 meters to 3.41 meters.