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How is the speed of sound mathematically expressed?

c = λf

The speed of sound is mathematically expressed by the equation \( c = λf \). In this equation, \( c \) represents the speed of sound, \( λ \) (lambda) denotes the wavelength of the sound wave, and \( f \) is the frequency of the sound wave. The relationship describes how the speed of a wave is determined by both its wavelength and frequency; as frequency increases, the wavelength decreases, provided the speed remains constant.

This formula is fundamental in understanding wave behavior in acoustics. It indicates that if you know any two of the parameters (speed, wavelength, frequency), you can calculate the third. This understanding is crucial in fields like acoustics, audio engineering, and various branches of physics and engineering where sound waves are involved.

The other options do not represent the correct mathematical relationship. They involve incorrect arrangements of these variables or operations that do not correspond to the definition of wave speed. Therefore, the expression \( c = λf \) accurately captures how sound travels through different mediums.

Get further explanation with Examzify DeepDiveBeta

c = f / λ

c = λ + f

c = λ^2 * f

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