What is the equation for wave speed in relation to frequency and wavelength?

• A. Speed = Frequency + Wavelength
• B. Speed = Frequency / Wavelength
• C. Speed = Frequency * Wavelength
• D. Speed = Wavelength - Frequency

Answer: (C)

The relationship between wave speed, frequency, and wavelength is described by the formula that states wave speed is equal to the product of frequency and wavelength. This can be derived from the basic definitions where frequency (usually measured in hertz) represents the number of oscillations or cycles that occur in a unit of time, and wavelength (usually measured in meters) is the distance between successive crests (or troughs) of a wave.

When energy travels through a medium as a wave, it maintains this relationship: the speed of the wave—how fast the energy moves through the medium—is dependent on how frequently the waves oscillate (frequency) and how far apart the waves are (wavelength). Therefore, multiplying the frequency by the wavelength gives the speed of the wave in the medium.

This foundational concept is critical in understanding wave behavior across different contexts, such as in sound waves, light waves, and other forms of energy propagation. Thus, the correct understanding of wave speed is encapsulated accurately in the presented formula.