How does black body radiation related to quantum mechanics in the earliest stage?

Expert Solution

Black body was one of the phenomenon that was not be explained by classical mechanics.A theory developed by Rayleigh and Jeans predicted that the intensity should go to infinity at short wavelength. Since the intensity actually dropped to zero at short wavelength, the Rayleigh- Jeans results to the ultraviolet catastrophe.

Quantum mechanics explains black body radiation.

Max Planck explained it by proposing that the energy of electromagnetic waves is quantized rather than continuous.He said, energy of radiation absorbed or radiated in the integral multiple of smallest unit of energy i,e, hv

where, h is Planck constant and is frequency.

We can understand ultraviolet catastrophe using quantum mechanics ( quantization of energy). At low temperature, radiation with only relatively low frequencies is emitted, corresponding to low energy quanta. As the temperature of an object increases, there is an increased probability of emitting radiation with higher frequencies. Hence, the graph between the energy and emitted wavelength shifts to lower wavelength at higher temperature.

This not only solved black body radiation but become the basis of quantum mechanics.

genius_generous answered 2 years ago

A. Describe specifically two major differences between quantum mechanics and classical mechanics. B. How does the...

A. Describe specifically two major differences between quantum mechanics and classical mechanics. B. How does the correspondence principle link quantum mechanics and classical mechanics? C. Why is it still accurate to use classical mechanics for human size objects? That is, why are our wave like properties not observed?

Describe in your own words how the theory of black-body radiation was formulated by Rayleigh and...

Describe in your own words how the theory of black-body radiation was formulated by Rayleigh and Jeans. Be sure to include how the density of the modes of radiation and the Boltzmann distribution were incorporated into their description. Discuss the shortcomings of the Rayleigh-Jean theory. Describe how Planck modified the theory to make it successful. Your answer should not exceed 2 handwritten pages. Your answer should be mostly descriptive, rather than a detailed mathematical derivation. You may find that including...

Why is it that thermal radiation of a black body usually described by a spectral distribution...

Why is it that thermal radiation of a black body usually described by a spectral distribution function rather than an intensity vs frequency curve? I have a vague explanation for this: Any measured intensity of radiation will contain a spectrum of frequencies which are impossible to separate (even with a very good spectrometer, one can only measure the intensity of an interval). So it is practically impossible to assign a particular intensity to a particular frequency. Is my reasoning correct?

Make a description of a Carnot engine considering the radiation of a black body as working...

Make a description of a Carnot engine considering the radiation of a black body as working substance. Verify Clausius relationship

Any tips on how to learn Quantum Mechanics effectively?

How does quantum mechanics resolve the collapsing atom paradox?More than one selection may be correct....

How does quantum mechanics resolve the collapsing atom paradox? More than one selection may be correct.The energy of electrons in atoms are restricted to certain values.The energy of electrons in atoms are not restricted to certain values.Quantum mechanics does not exist.None of these.

Please explain how symmetries in quantum mechanics work, how they impact eigenenergies and eigenstates of the...

Please explain how symmetries in quantum mechanics work, how they impact eigenenergies and eigenstates of the Hamiltonian, how symmetries are identified, and how they can be exploited. Explain rotational symmetry and how it works.

1.How does our desire to make a model (wave/particle) hinder our understanding of quantum mechanics? What...

1.How does our desire to make a model (wave/particle) hinder our understanding of quantum mechanics? What alternative do we have to making a physical model? 2.Why have concepts as important as quantum mechanics (Chapter 7) escaped public notice? 3.How does the interaction of observer and experiment limit our ability to interpret the results of quantum experiments? Has your understanding of uncertainty changed?

8. (a) Two important factors are related to quantum phenomenon: (i) blackbody radiation treatment breaks down...

8. (a) Two important factors are related to quantum phenomenon: (i) blackbody radiation treatment breaks down at high energies and (ii) photoelectric effect. Why classical physics was not sufficient to explain these phenomenon and quantum physics has to be invoked? (b) When are quantum confinement effects observed in semiconductor nanocrystallites? What are the implications of quantum confinement for the energy levels?

Why does classical physics seem more intuitive to us than modern physics does Relativistic quantum mechanics...

Why does classical physics seem more intuitive to us than modern physics does Relativistic quantum mechanics is the best theory that we have in physics. What does it describe What are the four fundamental physical quantities? How are fundamental units different from derived units What are three advantages of the metric system? By how many orders of magnitude do the diameter of the sun and the diameter of an atom differ?

Question