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# PLANCK'S CONSTANT * The energy of a photon is proportional to its frequency $E = h f = \frac{hc}{\lambda}$ Where: * $E$ is the energy of the photon * $f$ is the frequency * $\lambda$ is the wavelength * $h$ is Planck's constant $= 6.626 \times 10^{-34} J s$ *...

# PLANCK'S CONSTANT * The energy of a photon is proportional to its frequency $E = h f = \frac{hc}{\lambda}$ Where: * $E$ is the energy of the photon * $f$ is the frequency * $\lambda$ is the wavelength * $h$ is Planck's constant $= 6.626 \times 10^{-34} J s$ * Planck's constant is a fundamental constant of nature that relates the energy of a photon to its frequency. It is named after Max Planck, who first proposed the idea that energy is quantized in 1900. * Planck's constant is used in many areas of physics, including quantum mechanics, atomic physics, and nuclear physics. It is also used in many technological applications, such as lasers and semiconductors. ## Example What is the energy of a photon of red light with a wavelength of 700 nm? $E = \frac{hc}{\lambda} = \frac{(6.626 \times 10^{-34} J s)(3 \times 10^8 m/s)}{700 \times 10^{-9} m} = 2.84 \times 10^{-19} J$ Therefore, the energy of a photon of red light with a wavelength of 700 nm is $2.84 \times 10^{-19} J$.