CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom
Problem
The Bohr radius of the hydrogen atom is a0=5.3×10−11m. Treat an electron as localised within a spherical region whose diameter equals this radius.
(i) Taking the uncertainty in position to be of the order of a0, estimate the minimum possible magnitude of the electron’s momentum.
(ii) Hence calculate its minimum kinetic energy in electron–volts. Use h=6.63×10−34Js and me=9.11×10−31kg.
(iii) The experimentally observed ground–state energy of hydrogen is −13.6eV. Compare the magnitude obtained in (ii) with this value and comment on whether a classical stationary electron confined within the Bohr radius is plausible.