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NEET 2002
Exam
NEET
Year
2002
Subject
Chemistry
Chapter
Structure of Atom

NEET 2002 · Chemistry · Structure of Atom

In a hydrogen atom, the energy of the first excited state is -3.4...

In a hydrogen atom, the energy of the first excited state is −3.4eV-3.4 \mathrm{eV}. Then, find out the K.E. of the same orbit of the hydrogen atom.

Options

  1. A+3.4eV+3.4 \mathrm{eV}
  2. B+6.8eV+6.8 \mathrm{eV}
  3. C−13.6eV-13.6 \mathrm{eV}
  4. D+13.6eV+13.6 \mathrm{eV}

Correct answer

A. +3.4eV+3.4 \mathrm{eV}

Step-by-step solution

For hydrogen atom, The kinetic energy is equal to the negative of the total energy. And the potential energy is equal to the twice of the total energy. The first excited state energy of orbital =−3.4eV=-3.4 \mathrm{eV} and the kinetic energy of same orbital =−(−3.4eV)=3.4eV=-(-3.4 \mathrm{eV}) =3.4 \mathrm{eV} Related Theory In search of its lowest energy configuration the Hydrogen atom in the first excited state will de-excite to the ground-state, by emitting a photon of energy (E2−Eν)\left(E_2-E_\nu\right). Caution The energy in an excited state is nothing but kinetic energy.
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