Answer :
The wavelength of the radio waves from Addis Ababa Fana FM radio station is approximately 3.06 meters.
Use the relationship between speed, frequency, and wavelength of electromagnetic waves:
[tex]\lambda = \frac{v}{f}[/tex]
where:
- [tex]\lambda[/tex] (lambda) is the wavelength in meters.
- [tex]v[/tex] is the speed of light in a vacuum, which is approximately [tex]3.0 \times 10^8[/tex] meters per second.
- [tex]f[/tex] is the frequency in hertz (Hz).
The frequency given is 98.1 MHz, which means 98.1 million cycles per second. To convert this into hertz:
[tex]98.1 \text{ MHz} = 98.1 \times 10^6 \text{ Hz}[/tex]
Now substitute [tex]v[/tex] and [tex]f[/tex] into the wavelength formula:
[tex]\lambda = \frac{3.0 \times 10^8 \text{ m/s}}{98.1 \times 10^6 \text{ Hz}}[/tex]
Perform the calculation:
[tex]\lambda = \frac{3.0 \times 10^8}{98.1 \times 10^6} \approx 3.06 \text{ meters}[/tex]
Ther wavelength of the radio waves is approximately 3.06 meters.
Wavelength is the distance between identical points, or adjacent crests, in the adjacent cycles of a waveform signal propagated in space or along a wire. In wireless systems, wavelength is usually specified in meters (m), centimeters (cm) or millimeters (mm).
Frequency (f) = 98.1 MHz =[tex]98.1*10^6 Hz[/tex]
speed of light =3*10^8 m/s
98.1*10^86 Hz
wavelength ==[tex]\frac{3*10^8 m/s}{98.1*10^86 Hz}[/tex]
= 3.06 meters.
