As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion

As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom/ion
  1. kinetic energy and total energy decrease but potential energy increases
  2. its kinetic energy increases but potential energy and total energy decrease
  3. kinetic energy, potential energy and total energy decrease
  4. kinetic energy decreases, potential energy increases but total energy remains same

Solution

U=-e24πε0r, U= potential energy, K=e24πε0r
K=kinetic energy. E=U+K=-e28πε0r, E=total energy∴ As electron de-excites from an excited state to ground state, K increases, but U and E decrease.

Asked in: JEE Main 2015 (04 Apr)

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