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Planck’s equation to calculate energy. ν = Use the equations above to answer the following questions. 1. Ultraviolet radiation has a frequency of 6.8 × 1015 Hz. Calculate the energy, in joules, of the photon. 2. Find the energy, in joules per photon, of microwave radiation with a frequency of 7.91 × 1010 Hz. 3.
A E = K (T ) ; (13.1) where K (T ) is a constant that depends only on the object's temperature T (and also on the wavelength), but is independent of the material and shape of the object.
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The theoretical formula expressed in Equation \ref{6.11} is called Planck’s blackbody radiation law. This law is in agreement with the experimental blackbody radiation curve (Figure \(\PageIndex{2}\)). In addition, Wien’s displacement law and Stefan’s law can both be derived from Equation \ref{6.11}.
In the classical model of blackbody radiation, the Rayleigh-Jeans Law takes into account that cavity atoms are modeled as oscillators emitting electromagnetic waves of all wavelengths: dI 2πckT. = I(λ, T ) = (3) dλdΩ λ4 where k is Boltzmann’s constant and c is the speed of light in free space.
Planck’s equation to calculate energy. ν = Use the equations above to answer the following questions. 1. Ultraviolet radiation has a frequency of 6.8 × 1015 Hz. Calculate the energy, in joules, of the photon. 2. Find the energy, in joules per photon, of microwave radiation with a frequency of 7.91 × 1010 Hz. 3.
The inverse of the Planck Function is used to find the “brightness temperature” of an object whose emitted radiance has been measured. The precise formula for the Planck function depends on whether the radiance is reckoned
