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Light waves are a form of electromagnetic radiation that exhibit wave-like behavior. The properties of light waves, such as wavelength, frequency, and velocity, are interconnected and governed by fundamental principles.

Wavelength: The wavelength of a light wave refers to the distance between two consecutive points in the wave that are in the same phase, such as two crests or two troughs. It is commonly denoted by the Greek letter lambda (λ) and is measured in meters (m) or other units of length. The wavelength determines the color of light we perceive, with shorter wavelengths corresponding to bluer colors and longer wavelengths corresponding to redder colors. For example, blue light has a shorter wavelength (around 400-500 nanometers) compared to red light (around 600-700 nanometers).

Frequency: The frequency of a light wave represents the number of complete wave cycles that pass a given point per unit of time. It is typically measured in hertz (Hz), which represents the number of cycles per second. The frequency of a light wave is inversely proportional to its wavelength. This means that as the wavelength increases, the frequency decreases, and vice versa. Mathematically, the relationship between wavelength (λ) and frequency (f) is given by the equation: c = λf, where c is the speed of light in a vacuum (approximately 3 × 10^8 meters per second).

Velocity: The velocity of light in a vacuum is a constant value denoted by the symbol c, which is approximately 3 × 10^8 meters per second. This means that the speed of light is the same regardless of its wavelength or frequency. In other mediums, such as air, water, or glass, light may travel at slightly slower speeds due to interactions with the medium.

To summarize, the wavelength and frequency of light waves are inversely related, and their product is equal to the speed of light. As the wavelength decreases, the frequency increases, and vice versa. The velocity of light is constant in a vacuum, but it may vary in different mediums. These properties of light waves have important implications in various fields, including optics, telecommunications, and spectroscopy.

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