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Potential energy of an electron in hydrogen atom is -3.02 eV it's kinetic energy is?
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Potential energy of an electron in hydrogen atom is -3.02 eV it's kine...
Calculating Kinetic Energy of an Electron in Hydrogen Atom


Understanding Potential Energy of an Electron in Hydrogen Atom


In a hydrogen atom, the potential energy of an electron is given by the equation:


Potential Energy = -13.6/n^2 eV


Where n is the principal quantum number of the electron.


For the ground state of hydrogen atom, n = 1. Therefore, the potential energy of an electron in the ground state of hydrogen atom is:


Potential Energy = -13.6/1^2 = -13.6 eV


However, the question states that the potential energy of the electron is -3.02 eV. This means that the electron is not in the ground state, but in an excited state.


Calculating Kinetic Energy of an Electron in Hydrogen Atom


The total energy of an electron in a hydrogen atom is given by the equation:


Total Energy = Kinetic Energy + Potential Energy


Therefore, the kinetic energy of the electron can be calculated by rearranging the equation:


Kinetic Energy = Total Energy - Potential Energy


For the ground state of hydrogen atom, the total energy is -13.6 eV. Therefore, the kinetic energy of the electron in the ground state is:


Kinetic Energy = -13.6 eV - (-13.6 eV) = 0 eV


However, for an electron with a potential energy of -3.02 eV, the total energy is:


Total Energy = Kinetic Energy + Potential Energy


Total Energy = Kinetic Energy - 3.02 eV


Since the electron is still bound to the nucleus, its total energy must be negative. Therefore, the kinetic energy of the electron must be:


Kinetic Energy = Total Energy + 3.02 eV


Kinetic Energy = -3.02 eV + 3.02 eV = 0 eV


Therefore, the kinetic energy of an electron in an excited state of hydrogen atom is also 0 eV.
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Potential energy of an electron in hydrogen atom is -3.02 eV it's kine...
Is it +1.51
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Read the following text and answer the following questions on the basis of the same:Band theory of solid:Consider that the Si or Ge crystal contains N atoms. Electrons of each atom will have discrete energies in different orbits. The electron energy will be same if all the atoms are isolated, i.e., separated from each other by a large distance. However, in a crystal, the atoms are close to each other (2 Å to 3 Å) and therefore the electrons interact with each other and also with the neighbouring atomic cores. The overlap (or interaction) will be more felt by the electrons in the outermost orbit while the inner orbit or core electron energies may remain unaffected. Therefore, for understanding electron energies in Si or Ge crystal, we need to consider the changes in the energies of the electrons in the outermost orbit only. For Si, the outermost orbit is the third orbit (n = 3), while for Ge it is the fourth orbit (n = 4). The number of electrons in the outermost orbit is 4 (2s and 2p electrons). Hence, the total number of outer electrons in the crystal is 4N. The maximum possible number of outer electrons in the orbit is 8 (2s + 6p electrons). So, out of the 4N electrons, 2N electrons are in the 2N s-states (orbital quantum number l = 0) and 2N electrons are in the available 6N p-states. Obviously, some p-electron states are empty. This is the case of well separated or isolated atoms.Q. The energy of electrons of atoms of a substance will be same if

Potential energy of an electron in hydrogen atom is -3.02 eV it's kinetic energy is?
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