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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 \(\PageIndex{2}\)).
As noted in the chapter, the cosmic microwave background radiation fits the Planck equation for a blackbody at (a) What is the wavelength at the maximum intensity of the spectrum of the background radiation? (b) What is the frequency of the radiation at the maxi-mum? (c) What is the total power incident on Earth from the background radiation? 3-16.
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.
It is easy to see how Wien’s Displacement Law follows from Planck’s formula: the maximum radiation per unit frequency range is at the frequency f for which the function f 3 / (e h f / k B T − 1) is a maximum. Solving numerically gives h f max = 2.82 k B T.
24 Απρ 2023 · The constant \(h\) is now referred to as Planck’s constant, and has the value: \[h=6.63\times 10^{-34}J\cdot s \nonumber\] The idea that light energy is proportional to frequency obviously begged to be explained, but this would have to wait for awhile.
A blackbody is an idealized object which absorbs and emits all frequencies. Classical physics can be used to derive an equation which describes the intensity of blackbody radiation as a function of frequency for a fixed temperature — the result is known as the Rayleigh-Jeans law.
20 Μαΐ 2024 · Planck's Puzzling Fix. Max Planck knew what the spectral energy density curve for a blackbody looked like, and decided that rather than try to figure out where the physics went wrong, he would see what math was required, and then try to work backwards to the physics.
