Practice portal › Atoms › Bohr Model of the Hydrogen Atom
Asked in GSEB Board July 2021 · Energy levels and ionisation
Idea: in a circular Coulomb orbit the force balance ties the kinetic energy to the potential energy.
Force balance: (mv²)/r=(ke²)/(r²), so K=1/2mv²=(ke²)/(2r).
Potential energy: U=-(ke²)/r=-2K.
Total energy: E=K+U=K-2K=-K.
So K=-E; in the ground state, for example, E=-13.6 eV and K=+13.6 eV.
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