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In the equation for wave speed (v = fλ), what does f represent?

  1. Wavelength

  2. Frequency

  3. Amplitude

  4. Velocity

The correct answer is: Frequency

In the equation for wave speed, represented as \( v = fλ \), the symbol \( f \) specifically denotes the frequency of the wave. Frequency refers to the number of wave cycles that pass a given point in a unit of time, usually measured in hertz (Hz). This means that if the frequency increases, more waves are produced per second, which directly affects the speed of the wave in conjunction with the wavelength \( λ \). Understanding the relationship in this equation shows that the wave speed \( v \) is determined by both the frequency and the wavelength. If the frequency is higher, for a constant wavelength, the wave speed also increases. Similarly, if the wavelength increases, for a constant frequency, the wave speed will also increase. This relationship illustrates how frequency and wavelength are interdependent aspects of wave behavior, and knowing that \( f \) represents frequency is crucial for understanding the dynamics of wave motion.