FM radio signals are electromagnetic waves transmitted between frequencies of 88 MHz and 107 MHz. Find the range of wavelengths for these signals.
largest___m
smallest___m
Use the wave equation.
what is the wave equation?
λ1 =c/f1 = 3•10^8/88•10^6 =3.4 m,
λ2 =c/f2 = 3•10^8/107•10^6 =2.8 m.
To find the range of wavelengths for FM radio signals, we can use the formula:
Wavelength (λ) = Speed of Light (c) / Frequency (f)
The speed of light is approximately 3 x 10^8 meters per second.
For the largest wavelength, we use the lowest frequency within the given range, which is 88 MHz:
Wavelength (largest) = (3 x 10^8 m/s) / (88 x 10^6 Hz)
Wavelength (largest) ≈ 3.409 m
For the smallest wavelength, we use the highest frequency within the given range, which is 107 MHz:
Wavelength (smallest) = (3 x 10^8 m/s) / (107 x 10^6 Hz)
Wavelength (smallest) ≈ 2.804 m