In Bohr's hydrogen model, the electrons move in a circular orbit around the proton and its momentum is quantized according to mvr = nℏ where m is the electron mass, v is the speed of the electron and r is the orbital radius. a) Start from the quantized momentum and determine the relationship between the circumference of the electron orbit by the wavelength of the electron de Broglie. b) the gravitational force between protons and electrons is negligible compared to the Coulomb force. Start from it and the expression for the quantized momentum and produce an expression for the kinetic energy of the electron in an orbital n. The expression for the Chinese energy must contain the physical constants m, e, ∈0 and h.
Atomic Spectra
According to the Bohr model of an atom, the electron in an atom moves around a nucleus in fixed orbits with specific energies known as energy levels. The orbital energies are quantized. The electrons remain in these energy levels until they emit or absorb a photon of a particular wavelength, the quantum of energy. If the electron emits a photon, it then falls back to a lower energy level, and if it absorbs a photon, the electron rises to higher energy levels. The photons released or absorbed in these transitions of an electron are studied and analyzed on a screen as atomic spectra.
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The spectrum of frequency observed when electromagnetic radiation is emitted from an atom when it goes from higher energy state to lower state, is known as emission spectrum. This transition occurs when an excited electron moves from higher to lower state. It has many possible electron transitions and each transition has a specific energy difference.
Emission Spectrum
Every state of matter tries to be at minimum potential energy or it can be said that the atoms of element/ substance arrange themselves such that overall energy is minimum.
In
mvr = nℏ
where m is the electron mass, v is the speed of the electron and r is the orbital radius.
a) Start from the quantized momentum and determine the relationship between the circumference of the electron orbit by the wavelength of the electron de Broglie.
b) the gravitational force between protons and electrons is negligible compared to the Coulomb force. Start from it and the expression for the quantized momentum and produce an expression for the kinetic energy of the electron in an orbital n. The expression for the Chinese energy must contain the physical constants m, e, ∈0 and h.
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