FM radio signals are electromagnetic waves transmitted between frequencies of 88 MHz and 107 MHz. Find the range of wavelengths for these signals.
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I have used the equation, but im doing something wrong, so if i could get the answer instead of just the equation it would b greatly appreciated
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)
Where:
Speed of Light (c) = 3 x 10^8 meters per second
Frequency (f) is given as a range from 88 MHz to 107 MHz.
Let's calculate the range of wavelengths step by step:
1. Convert the frequencies from MHz to Hz:
88 MHz = 88 x 10^6 Hz
107 MHz = 107 x 10^6 Hz
2. Plug in the values into the formula for both frequencies:
For 88 MHz:
λ1 = (3 x 10^8 m/s) / (88 x 10^6 Hz)
For 107 MHz:
λ2 = (3 x 10^8 m/s) / (107 x 10^6 Hz)
3. Calculate the wavelengths:
λ1 = 3.41 meters (rounded to two decimal places)
λ2 = 2.80 meters (rounded to two decimal places)
Therefore, the range of wavelengths for FM radio signals is approximately from 2.80 to 3.41 meters.