(I) AM radio signals have frequencies between 550 kHz and 1600 kHz (kilohertz) and travel with a

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(I) AM radio signals have frequencies between 550 kHz and...

(I) AM radio signals have frequencies between 550 $\mathrm{kHz}$ and 1600 $\mathrm{kHz}$ (kilohertz) and travel with a speed of $3.0 \times 10^{8} \mathrm{m} / \mathrm{s}$ . What are the wavelengths of these signals? On FM the frequencies range from 88 $\mathrm{MHz}$ to 108 $\mathrm{MHz}$ (megahertz) and travel at the same speed. What are their wavelengths?

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Key Concepts

Frequency Units and Conversion

Since frequencies may be presented in different units such as kilohertz (kHz) and megahertz (MHz), it is crucial to convert these units to hertz (Hz) for consistency in calculations. This concept emphasizes the importance of unit conversion in ensuring accurate computation when applying the wavelength-frequency relationship.

Wavelength-Frequency Relationship

This fundamental concept is based on the equation c = ? × f, where c is the speed of light, ? is the wavelength, and f is the frequency. This relationship implies that as the frequency of an electromagnetic wave increases, its wavelength decreases, and vice versa. Understanding and applying this equation is essential in determining the physical properties of radio signals.

Speed of Electromagnetic Waves

This concept involves the constant speed at which all electromagnetic waves, including radio waves, travel in a vacuum. In most problems involving radio signals, the speed is taken as approximately 3.0 x 10^8 meters per second, and it forms a key variable when calculating wavelengths given a frequency.

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