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All types of electromagnetic radiation, including visible light, radio waves, microwaves, X-rays, and gamma rays, travel at the same speed in a vacuum, which is the speed of light denoted by 'c'. This phenomenon is a fundamental property of electromagnetic waves and is a consequence of the relationship between their wavelength, frequency, and speed.

The speed of light in a vacuum is determined by the electric and magnetic properties of free space, and it is a fundamental constant of nature. It is denoted as approximately 299,792 kilometers per second (or about 186,282 miles per second).

The relationship between wavelength, frequency, and speed of electromagnetic waves is described by the equation:

c = λ * f

where: c is the speed of light, λ (lambda) is the wavelength of the wave, and f is the frequency of the wave.

According to this equation, if the wavelength of an electromagnetic wave decreases, the frequency must increase to maintain the speed of light. In other words, as the wavelength shortens, the frequency increases proportionally, and vice versa.

Different types of electromagnetic radiation have different wavelengths and frequencies. For example, radio waves have long wavelengths and low frequencies, while X-rays and gamma rays have short wavelengths and high frequencies. However, regardless of their wavelength or frequency, all electromagnetic waves travel at the same speed in a vacuum.

This principle, known as the wave-particle duality of light, was established by the theory of electromagnetism developed by James Clerk Maxwell in the 19th century. It states that electromagnetic waves consist of oscillating electric and magnetic fields that propagate through space, and their speed is determined by the properties of the medium through which they travel.

In summary, although electromagnetic waves have different wavelengths and frequencies, they all travel at the same speed in a vacuum due to the intrinsic relationship between wavelength, frequency, and the speed of light. This principle is a fundamental characteristic of electromagnetic radiation.

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