Using the uncertainty relation, estimate the minimum kinetic energy of an electron moving inside a spherical region with a diameter d = 0.1 nm. The assessment is made under the assumption that the uncertainty of the radius of the sphere and the uncertainty of the momentum of the electron in such an orbit are related by the relations: delta r ~ r and delta p ~ p.
Detailed solution with a brief record of the conditions, formulas and laws used in the solution, derivation of the calculation formula and answer.
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