The greatest value ever achieved for the speed of sound in...

The greatest value ever achieved for the speed of sound in air is about $1.0 \times 10^{4} \mathrm{m} / \mathrm{s}$, and the highest frequency ever produced is about $2.0 \times 10^{10} \mathrm{Hz}$ Find the wavelength of this wave.

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Key Concepts

Wave Equation

The wave equation, v = f × ?, defines the relationship between a wave's speed (v), its frequency (f), and its wavelength (?). This fundamental principle applies to all waves and allows one to calculate any of these three properties if the other two are known.

Frequency

Frequency is the number of cycles or oscillations that occur per unit time, measured in Hertz (Hz). It is a critical parameter in wave analysis because it, along with the wave's speed, determines the wavelength of the wave.

Wavelength

Wavelength is the physical distance between successive similar points in a cycle of a waveform, such as from crest to crest or trough to trough. It is determined using the wave equation, and its relationship with frequency is inversely proportional if the wave's speed is constant.

Speed of Sound

The speed of sound is the rate at which sound waves propagate through a medium, such as air, and is influenced by factors like temperature and medium properties. Understanding this concept is essential in applications involving acoustics and wave behavior.

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