Each photon in a beam of light has an energy of 6.50 ×10^-19 J . What is the light's wavelength

step 1 In this question, we are given the energy of a photon, is 6 .5 times 10 to the negative 19 Jews.

Each photon in a beam of light has an energy of 6.50 ×10^-19...

Key Concepts

Electromagnetic Spectrum

The electromagnetic spectrum encompasses all types of electromagnetic radiation, which are classified based on their wavelengths and frequencies. Different regions of the spectrum correspond to different types of light, such as radio waves, microwaves, infrared, visible, ultraviolet, X-rays, and gamma rays. Understanding where a particular wavelength falls within this spectrum enables the identification of the type of light, which is essential in various fields of science and technology.

Speed of Light

The speed of light, denoted by c, is a universal physical constant that represents the speed at which all electromagnetic radiation propagates in a vacuum. It is a critical factor in various physical equations, including the Planck–Einstein relation, and plays a key role in the connection between the energy, frequency, and wavelength of light.

Planck–Einstein Relation

The Planck–Einstein relation is a fundamental principle in quantum physics that links the energy of a photon to its frequency and wavelength. It is expressed as E = hf and, equivalently, as E = hc/?, where E is the energy, h is Planck's constant, f is the frequency, c is the speed of light, and ? is the wavelength. This equation allows for the calculation of any one of these quantities if the other two are known.

Photon

A photon is the fundamental quantum of electromagnetic radiation, meaning it is the smallest discrete amount of energy that can be carried by light. Photons exhibit both particle-like and wave-like properties, and their behavior is described by quantum mechanics. Their energy is directly related to the frequency of the light and inversely related to its wavelength.

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