Final answer:
The wavelengths of AM radio signals range from approximately 545.45 meters at 550 kHz to 187.5 meters at 1600 kHz, calculated using the speed of light (3.0×108 m/s) and the frequencies of the AM radio band.
Step-by-step explanation:
The wavelengths of AM radio signals, which have frequencies between 550 kHz and 1600 kHz and travel with a speed of 3.0×108 m/s, can be calculated using the formula λ = v/f, where λ is the wavelength, v is the speed of the wave, and f is the frequency. For the lowest frequency in the AM radio band, 550 kHz, the wavelength is λ = (3.0×108 m/s) / (550×103 Hz) = 545.45 meters. For the highest frequency, 1600 kHz, the wavelength is λ = (3.0×108 m/s) / (1600×103 Hz) = 187.5 meters. AM radio signals therefore have wavelengths ranging from approximately 545.45 meters at 550 kHz to 187.5 meters at 1600 kHz.