The frequency of a wave is defined as:

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Accepted Answer

The number of complete wave cycles passing a point per unit time. Frequency is defined as the number of complete wave cycles (oscillations) that pass a given point per unit time. It is measured in hertz (Hz), where 1 Hz equals one cycle per second. Frequency is related to wavelength and wave speed by the equation v = fλ (wave speed equals frequency times wavelength). Higher frequency means more cycles per second, which for sound waves means a higher pitch and for light waves means higher energy and shorter wavelength.

The distance between two consecutive wave crests (or any two corresponding points on adjacent cycles) is the wavelength (λ), not the frequency. The maximum displacement from the equilibrium position is the amplitude, which relates to the intensity or energy of the wave, not its frequency. The speed at which the wave travels through a medium is the wave velocity (v), which depends on the properties of the medium rather than being an intrinsic property of the wave pattern itself.

Understanding wave properties - including frequency, wavelength, amplitude, and speed - is essential for the CLEP Natural Sciences exam because waves are fundamental to many areas of science. Sound waves, light waves, water waves, and seismic waves all obey the same basic principles. The electromagnetic spectrum, which ranges from radio waves (low frequency, long wavelength) to gamma rays (high frequency, short wavelength), is particularly important as it connects physics to chemistry (spectroscopy), biology (vision, photosynthesis), and earth science (remote sensing).

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