AM radio signals are electromagnetic waves transmitted between frequencies of 550 kHz and 1600 kHz. Find the range of wavelengths for these signals.
largest ___m
smallest___m
λ1 =c/f1 = 3•10^8/550•10^3 =545.5 m,
λ2 =c/f2 = 3•10^8/1600•10^3 =187.5 m.
To find the range of wavelengths for AM 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 (m/s).
Now, let's find the range of wavelengths:
For the largest wavelength:
Frequency = 550 kHz = 550,000 Hz
Wavelength (largest) = c / f = (3 x 10^8 m/s) / (550,000 Hz)
For the smallest wavelength:
Frequency = 1600 kHz = 1,600,000 Hz
Wavelength (smallest) = c / f = (3 x 10^8 m/s) / (1,600,000 Hz)
Let's calculate these values:
For the largest wavelength:
Wavelength (largest) = (3 x 10^8 m/s) / (550,000 Hz) = 545.45 meters (approximately)
For the smallest wavelength:
Wavelength (smallest) = (3 x 10^8 m/s) / (1,600,000 Hz) = 187.5 meters (approximately)
Therefore, the range of wavelengths for AM radio signals is approximately from 545.45 meters to 187.5 meters.