Blackbody radiation had been classically treated as cavity radiation, ie. radiation confined within a certain geometrical space. Therefore, the radiating EM waves are treated as standing waves having modes of zero electric field at the walls. Classically, as more and more energy is distributed into the cavity, the wavelengths of the EM waves get shorter and shorter, thereby allowing more and more modes to be possible, all of which have the same chance to be produced. So, the number of modes is proportional to energy which is inversely proportional to wavelength meaning it's directly proportional to frequency.
What all that boils down to, if classical mechanics had been right, is that as continually higher and higher frequencies of EM radiation are distributed into the blackbody, the amount of radiated energy should also continually increase. Experimental data, however, showed that the EM radiation, after a certain point, actually began to decrease, despite the continual increase in the energy put in.
That unexpected event was inexplicable using classical mechanics. The only way that it was eventually understood was by treating EM waves as discrete quanta of energy.
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.
The classical theory of solids is based on the assumption that atoms are fixed in a lattice structure and do not move. However, quantum mechanics shows that atoms in solids have wave-like properties and do exhibit movement. This discrepancy between classical theory and quantum mechanics makes classical theory inadequate for explaining the behavior of solids at the atomic level.
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 correspondence principle has applications to macroscopic events in the everyday macro-world. This principle is a general rule not only good for science but for all good theory - even in areas as far removed from science as government, religion, and ethics. If a new theory is valid, it must account for the verified results of the old theory.
The Bohr model is inaccurate because it is based on classical mechanics, which does not fully explain the behavior of electrons in atoms. It also fails to account for electron-electron interactions and the wave-like nature of particles. Quantum mechanics provides a more accurate description of the behavior of electrons in atoms.
Blackbody radiation refers to the electromagnetic radiation emitted by a perfect absorber and emitter of radiation, known as a blackbody. Examples of blackbody radiation include the radiation emitted by stars, such as the Sun, and the thermal radiation emitted by objects at high temperatures, like a heated metal rod. In physics, blackbody radiation is significant because it helped to develop the understanding of quantum mechanics and the concept of energy quantization. The study of blackbody radiation also led to the development of Planck's law, which describes the spectral distribution of radiation emitted by a blackbody at a given temperature. This law played a crucial role in the development of modern physics and the theory of quantum mechanics.
Max Planck assumed that the energy emitted by oscillators in a blackbody is quantized, meaning it can only take on discrete values, in order to explain the experimental data for blackbody radiation. This assumption led to the development of the famous Planck's law, which accurately described the spectrum of radiation emitted by a blackbody.
the classification of mechanics are:- # Classical Mechanics # Statistical Mechanics # Quantum Mechanics
Because there were a couple of things observed that were inexplicable with classical physics, namely: Blackbody radiation - Radiated energy doesn't continually increase as the frequency of the radiation increases. Classically, this relationship is given by the Rayleigh-Jeans Law, however, this law goes to infinity as frequency goes to infinity. The Photoelectric Effect - The energy of electrons emitted from a surface when a light is shined on it had nothing to do with the light's intensity, just it's frequency. Quantizing electromagnetic energy was the only way to explain these phenomena.
Max Planck called an object radiating energy a "blackbody." He developed a theoretical model to explain the energy distribution of radiation emitted by a blackbody at different temperatures, leading to the development of quantum theory.
Classical mechanics fails to accurately describe phenomena on very small scales, such as those in the quantum realm. Additionally, classical mechanics cannot explain certain phenomena related to high speeds or strong gravitational forces, leading to the development of theories like general relativity. Overall, classical mechanics is limited in its ability to describe the full range of physical phenomena observed in the universe.
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.
The classical theory of solids is based on the assumption that atoms are fixed in a lattice structure and do not move. However, quantum mechanics shows that atoms in solids have wave-like properties and do exhibit movement. This discrepancy between classical theory and quantum mechanics makes classical theory inadequate for explaining the behavior of solids at the atomic level.
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.
Classical mechanics contains the mathematical assumption that everything is infinitely divisible; no matter how small something is, it can always be cut in half. When this idea is applied to calculations of black body radiation the result is what was known as the ultraviolet catastrophe, which is that as the wavelength decreases, the amount of radiation increases without limit, rising asymptotically to infinity. That is, of course, not anything like what we observe in the real world. The solution of quantization, meaning that light (and everything else) just comes in pieces of a certain irreducible size, and no smaller, solves the problem and gives calculations that agree with experimental observations.
The two major branches of physics are classical physics and modern physics. Classical physics deals with the study of mechanics, thermodynamics, and electromagnetism based on classical laws of motion. Modern physics encompasses quantum mechanics, relativity, and other theories that extend beyond classical physics to explain phenomena at the atomic and subatomic levels.
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....!