Microwaves travel at the speed of light, 3.00 ×10^8 m / s When the frequency of microwaves is 9.

step 1 Given microwaves with a frequency of 9 times 10 to the 9th and a velocity of the speed of light,

Microwaves travel at the speed of light, 3.00 ×10^8 m / s...

Microwaves travel at the speed of light, $3.00 \times 10^{8} \mathrm{m} / \mathrm{s}$ When the frequency of microwaves is $9.00 \times 10^{9} \mathrm{Hz}$, what is their wavelength? (See Sample Problem 12D.)

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Key Concepts

Wave Equation (c = ?f)

This equation expresses the fundamental relationship between a wave's speed (c), frequency (f), and wavelength (?). It illustrates that the wavelength is inversely proportional to the frequency when the speed of the wave is constant, meaning that if the frequency increases, the wavelength decreases, and vice versa.

Speed of Electromagnetic Waves

Electromagnetic waves, regardless of their frequency or wavelength, travel at a constant speed in a vacuum—commonly known as the speed of light (approximately 3.00 x 10^8 m/s). This constant is a cornerstone in the study of electromagnetism and is crucial for understanding how various types of electromagnetic radiation propagate.

Frequency

Frequency refers to the number of cycles or oscillations of a wave that occur per unit of time, typically measured in hertz (Hz). It is a key parameter in characterizing waves, as it, together with the wavelength, determines the energy and behavior of the wave in various media.

Wavelength

Wavelength is the distance between successive identical points of a wave, such as from peak to peak. It characterizes the spatial extent of the wave’s cycle and is directly related to the frequency through the wave equation. Understanding wavelength is vital in applications ranging from radio communications to optics.

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