Which has the higher frequency, infrared light or ultraviolet light? Which has the longer wavelength? Which has the greater energy?

검증된 단계별 안내

insert step 1> Determine the relationship between frequency, wavelength, and energy for electromagnetic waves. The speed of light (c) is related to frequency (\(\nu\)) and wavelength (\(\lambda\)) by the equation \(c = \nu \lambda\).

insert step 2> Understand that frequency and wavelength are inversely related. This means that as the frequency increases, the wavelength decreases, and vice versa.

insert step 3> Recognize that energy of electromagnetic waves is directly proportional to frequency and can be calculated using the equation \(E = h\nu\), where \(E\) is energy and \(h\) is Planck's constant.

insert step 4> Compare infrared and ultraviolet light. Ultraviolet light has a higher frequency than infrared light, which means it also has a shorter wavelength and greater energy.

insert step 5> Conclude that ultraviolet light has a higher frequency and greater energy than infrared light, while infrared light has a longer wavelength.

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Electromagnetic Spectrum

The electromagnetic spectrum encompasses all types of electromagnetic radiation, arranged by frequency and wavelength. It ranges from low-frequency radio waves to high-frequency gamma rays. Infrared light and ultraviolet light are both part of this spectrum, with infrared having longer wavelengths and lower frequencies compared to ultraviolet.

Frequency and Wavelength Relationship

Frequency and wavelength are inversely related properties of electromagnetic waves. As frequency increases, wavelength decreases, and vice versa. This relationship is described by the equation c = λν, where c is the speed of light, λ is the wavelength, and ν is the frequency, highlighting that higher frequency corresponds to shorter wavelength.

Energy of Photons

The energy of a photon is directly proportional to its frequency and inversely proportional to its wavelength, as described by the equation E = hν, where E is energy, h is Planck's constant, and ν is frequency. Therefore, ultraviolet light, with its higher frequency, possesses greater energy than infrared light, which has a lower frequency and longer wavelength.