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The dual nature of light, where it exhibits properties of both waves and particles, is a fundamental concept in physics known as wave-particle duality. This concept arises from quantum mechanics, which describes the behavior of particles and waves at the microscopic scale.

On one hand, light can be described as a wave. It exhibits wave-like characteristics such as interference, diffraction, and the ability to undergo superposition. These properties are explained by the wave nature of light, where it propagates through space in the form of oscillating electric and magnetic fields.

On the other hand, light can also behave as a particle or discrete packets of energy called photons. Photons are elementary particles of light, and they carry discrete amounts of energy. Each photon has a specific energy that is related to its frequency (ν) and wavelength (λ) through the equation E = hν, where E is the energy of the photon and h is Planck's constant.

The energy of a photon is directly proportional to its frequency and inversely proportional to its wavelength. This means that photons with higher frequencies have more energy, while photons with longer wavelengths have less energy.

The dual nature of light means that depending on the experiment or observation, light can exhibit either wave-like or particle-like behavior. For example, in the phenomenon of interference, light behaves as a wave, showing constructive and destructive interference patterns. In other experiments, such as the photoelectric effect, light behaves as a particle, where individual photons interact with matter and release electrons.

The wavelength and frequency of light are fundamental properties that describe its wave nature. The wavelength (λ) is the distance between successive peaks or troughs of the light wave, while the frequency (ν) is the number of wave cycles that pass a given point per unit time. The wavelength and frequency are inversely related, meaning that as the wavelength increases, the frequency decreases, and vice versa. This relationship is described by the equation c = λν, where 'c' is the speed of light.

In summary, the wave-particle duality of light means that it can exhibit both wave-like and particle-like behavior. The wavelength and frequency of light describe its wave properties, while the concept of photons explains its particle-like behavior. This duality is a fundamental aspect of quantum mechanics and plays a crucial role in our understanding of the behavior of light and other particles at the microscopic scale.

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