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Electromagnetic radiation consists of waves that propagate through space and exhibit both wave-like and particle-like properties. The properties of electromagnetic radiation are characterized by its frequency and wavelength.

Frequency refers to the number of wave cycles passing a given point per unit of time, usually measured in hertz (Hz). Wavelength, on the other hand, is the distance between two consecutive points on a wave that are in phase with each other. It is commonly measured in meters (m) or multiples thereof, such as nanometers (nm) or micrometers (μm).

The relationship between frequency (f), wavelength (λ), and the speed of light (c) is given by the equation: c = f * λ.

When comparing electromagnetic radiation with the same frequency but different wavelengths, the key difference lies in the physical characteristics of the waves. Here's what you need to know:

  1. Wavelength: The wavelength of electromagnetic radiation determines the distance between two consecutive points on the wave. Longer wavelengths correspond to larger distances between wave crests, while shorter wavelengths correspond to smaller distances. For example, radio waves have longer wavelengths (ranging from meters to kilometers), while visible light has shorter wavelengths (ranging from hundreds of nanometers to a few hundred nanometers).

  2. Energy: The energy of an electromagnetic wave is directly proportional to its frequency and inversely proportional to its wavelength. In other words, shorter wavelengths (higher frequencies) carry more energy per photon, while longer wavelengths (lower frequencies) carry less energy. This relationship is described by the equation: E = h * f, where E is the energy, h is Planck's constant, and f is the frequency.

  3. Interaction with matter: Different wavelengths of electromagnetic radiation interact with matter in various ways. For example, longer wavelengths, such as radio waves, can pass through buildings and other obstacles with minimal attenuation. In contrast, shorter wavelengths, such as X-rays or gamma rays, are more likely to be absorbed or scattered by dense materials like bones or lead.

  4. Perception: Human perception of electromagnetic radiation varies with wavelength. Our eyes are sensitive to a narrow range of wavelengths known as the visible spectrum, which includes the colors from violet (short wavelength) to red (long wavelength). Wavelengths outside the visible spectrum, such as ultraviolet (UV) or infrared (IR), are not visible to the naked eye but can be detected and measured using specialized equipment.

In summary, electromagnetic radiation with the same frequency but different wavelengths exhibits variations in energy, interaction with matter, and human perception. The wavelength determines the physical characteristics of the wave, while the frequency affects its energy and behavior.

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