Chemistry · Bohr model of a hydrogen atom: its postulates, derivation of the relations for the energy of the electron and radii of the different orbits, limitations of Bohr's model

In a certain Bohr orbit, the total energy is For this orbit, the kinetic energy,

In a certain Bohr orbit, the total energy is \( -4.9 e V . \) For this orbit, the kinetic energy, and potential energy are respectively:

  • A. \( 9.8 e V,-4.9 e V \)
  • B. \( 4.9 e V,-9.8 e V \)
  • C. \( 4.9 e V,-4.9 e V \)
  • D. \( 9.8 e V,-9.8 e V \)

Step-by-step solution

In Bohr's model, for an electron in a stationary orbit, the total energy E = KE + PE. From the Coulomb force, potential energy PE = -2KE, so KE = -E and PE = 2E. Given E = -4.9 eV, we find KE = 4.9 eV and PE = -9.8 eV.
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