Numerous places: 1) photo-electric effect. 2) black-body radiation spectrum. 3) spectrum of hydrogen emissions. 4) interference patterns of electrons through a slit. 5) compton scattering. All of the above can be easily explained by the existence of 'quanta,' but are impossible to explain through purely classical means.
Classical mechanics fails to accurately describe the behavior of particles at the quantum level, unlike Schrödinger's equation which can predict the behavior of particles based on their wave functions. Classical mechanics does not account for wave-particle duality, uncertainty principle, and quantum superposition which are crucial in understanding quantum systems. Schrödinger's equation provides a more comprehensive and accurate description of particle behavior at the atomic and subatomic levels.
Classical mechanics assumes that light energy is a self-propagating, harmonic wave of electro-magnetic fields. It assumes that there is no limit to how small the energy in a light beam can be. QM, on the other hand, assumes there is a limit to how small the energy within a "chunk" of light can be, and that size is given by the frequency of the light times Planck's Constant. With this assumption, the formula for frequency shift of scattered photons as a function of angle can be easily explained. Using only classical mechanics, deriving the formula is impossible.
The two key ideas leading to a new quantum mechanics were Planck's notion of quantized energy levels in blackbody radiation, and Einstein's explanation of the photoelectric effect using quantized light particles (photons). These ideas challenged classical mechanics and paved the way for the development of quantum theory.
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stability of atoms line spectrum of hydrogen atom compton effect photoelectric effect black body radiation
No. To explain the photoelectric effect, you have to think of light as a particle, not a wave. The fact that light can be both a wave and a particle is part of quantum mechanics, not classical physics.
Numerous places: 1) photo-electric effect. 2) black-body radiation spectrum. 3) spectrum of hydrogen emissions. 4) interference patterns of electrons through a slit. 5) compton scattering. All of the above can be easily explained by the existence of 'quanta,' but are impossible to explain through purely classical means.
Classical mechanics fails to accurately describe the behavior of particles at the quantum level, unlike Schrödinger's equation which can predict the behavior of particles based on their wave functions. Classical mechanics does not account for wave-particle duality, uncertainty principle, and quantum superposition which are crucial in understanding quantum systems. Schrödinger's equation provides a more comprehensive and accurate description of particle behavior at the atomic and subatomic levels.
Classical mechanics assumes that light energy is a self-propagating, harmonic wave of electro-magnetic fields. It assumes that there is no limit to how small the energy in a light beam can be. QM, on the other hand, assumes there is a limit to how small the energy within a "chunk" of light can be, and that size is given by the frequency of the light times Planck's Constant. With this assumption, the formula for frequency shift of scattered photons as a function of angle can be easily explained. Using only classical mechanics, deriving the formula is impossible.
It is a macroscopic theory. Their theoretical values are not equal to the experimental values. The classical theory cannot explain the photoelectric effect,compton effect,magnetic properties briefly..... it obeys the classical mechanics. it does not briefly explain the atoms internal parts . hence it is rectified by quantum physics....!
The two key ideas leading to a new quantum mechanics were Planck's notion of quantized energy levels in blackbody radiation, and Einstein's explanation of the photoelectric effect using quantized light particles (photons). These ideas challenged classical mechanics and paved the way for the development of quantum theory.
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There are many examples of what classical physics can not explain. (By classical physics we mean that which has its theoretical foundations before about 1900.) Quantum mechanics is absent from classical physics. Classical physics can not explain why atoms (positive nucleus attracted to surrounding electrons) is stable. Even the simplest atom, a hydrogen atom, would be unstable and the electron orbiting the proton would gradually radiate its energy and the orbit would decay. The photoelectric effect is an important historical example of the failure of classical physics. In that case, electromagnetic theory said that light was an electromagnetic wave. That was true enough but it does not account for the quantum nature of light and the characteristics that allow a photon to act like a discrete bundle of electromagnetic energy with properties like a particle. Virtually all of our understanding about the atomic structure and properties of matter depends on quantum mechanics, so the example of hydrogen is just symbolic of the need for modern physics for the entirety of our understanding about electronic properties of matter. One can choose to define classical physics to include relativity or not as one wishes, but it is fair to say that Newtonian mechanics does not explain relativistic mechanics. In particular, time dilation and length contraction are purely relativistic effects.
Classical physics fails to explain the photoelectric effect because it is based on the wave theory of light, which predicts that the energy of a wave is proportional to its intensity. However, the photoelectric effect shows that the energy of ejected electrons is dependent on the frequency of light, not its intensity, as predicted by quantum theory.
One phenomenon that does not support the quantum nature of light is the photoelectric effect. In this effect, light behaves as a stream of particles (photons) rather than a classical wave, showing that light can only be explained fully by quantum mechanics.
No