The total energy of an electron in the n th stationary orbit of the hydrogen atom can be obtained by

The total energy of an electron in the nth  stationary orbit of the hydrogen atom can be obtained by
  1. En=13.6n2eV
  2. En=-13.6n2eV
  3. En=-1.36n2eV
  4. En=-13.6×n2eV

Solution

Bohr’s Postulates are as follows: The electron revolves around the nucleus at stable orbits without radiating energy. The stable orbits are called stationary orbits. These orbits are unique and have different radii. The electron cannot orbit in between two stationary orbits, meaning the orbits are uniquely determined. The stationery orbits are obtained by equating the angular momentum of the electron to an integral multiple of reduced Planck’s constant, mvr=nh2π, where v is the velocity of the electron in the nth orbit and r is the radius of the nth orbit. The orbits have definite energies called the energy shells or energy levels. For hydrogen, En=-13.6n2 eV.

Asked in: NEET 2020 (Phase 2)

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