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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.
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 \(\PageIndex{2}\)).
13 Ιαν 2023 · Planck’s Law Formula. The spectral radiance of a body represents the amount of energy it gives off as radiation at different frequencies. It is measured in terms of the radiant power emitted per unit area of the body, per unit solid angle the radiation is measured over, and per unit frequency.
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.
The theoretical formula expressed in Equation 6.11 is called Planck’s blackbody radiation law. This law is in agreement with the experimental blackbody radiation curve (see Figure 6.7). In addition, Wien’s displacement law and Stefan’s law can both be derived from Equation 6.11.
practice problem 1. A laser used in a fiber optic communication system operates at a wavelength of 635 nm, has a power output of 1 mW, and can transmit data at a rate of 2.5 gigabits per second. Compute the following quantities…. the frequency of the electromagnetic radiation. the color of the electromagnetic radiation.
The precise formula for the Planck function depends on whether the radiance is reckoned on a “per unit wavelength” basis or a “per unit frequency” basis. In the former case, the formula is.
