Concept explainers
(a)
Interpretation:
The force on the electron at origin should be calculated which gives the components
Concept Introduction:
The formula which is used to calculate the force between charged particles separated by distance is given by:
Where,
r is the distance between the electrons.
(b)
Interpretation:
The potential energy of two electrons should be calculated.
Concept Introduction:
The energy which is possessed by an object or material due to its composition or position with respect to other objects or materialis said to be potential energy
The formula which is used to calculate the potential energy between charged particles separated by distance is given by:
Where,
r is the distance between the electrons.
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Principles of Modern Chemistry
- One of the most famous of the obsolete theories of the hydrogen atom was proposed by Bohr. It has been replaced by quantum mechanics but, by a remarkable coincidence (not the only one where the Coulomb potential is concerned), the energies it predicts agree exactly with those obtained from the Schrödinger equation. In the Bohr atom, an electron travels in a circle around the nucleus. The Coulombic force of attraction (Ze2/4πε0r2) is balanced by the centrifugal effect of the orbital motion. Bohr proposed that the angular momentum is limited to integral values of ħ. When the two forces are balanced, the atom remains in a stationary state until it makes a spectral transition. Calculate the energies of a hydrogenic atom using the Bohr model.arrow_forwardCalculate the change in energy (in Joules) when an electron transition from n=4 to n=2 in a hydrogen atom. Write in a paper and show the complete solutionarrow_forwardOne of the most famous of the obsolete theories of the hydrogen atom was proposed by Niels Bohr. It has been replaced by quantum mechanics, but by a remarkable coincidence (not the only one where the Coulomb potential is concerned), the energies it predicts agree exactly with those obtained from the Schrödinger equation. In the Bohr atom, an electron travels in a circle around the nucleus. The Coulombic force of attraction (Ze2/4πε0r2) is balanced by the centrifugal effect of the orbital motion. Bohr proposed that the angular momentum is limited to integral values of ħ. When the two forces are balanced, the atom remains in a stationary state until it makes a spectral transition. Calculate the energies of a hydrogenic atom using the Bohr model.arrow_forward
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