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MHT CET20249 May 2024Morning ShiftPhysicsAtomic PhysicsActual

When a hydrogen atom is raised from the ground state to the excited state

Options

  1. Apotential energy increases and K.E. decreases.
  2. Bpotential energy decreases and K.E. increases.
  3. Cboth K.E. and potential energy will increase.
  4. Dboth K.E. and potential energy decreases.

Correct answer

A. potential energy increases and K.E. decreases.

Step-by-step solution

K.E. 1 r That is kinetic energy is inversely proportional to the radius of orbit. If r increases then K.E. decreases. Hence we can conclude that when an electron is excited to a higher energy level its kinetic energy decreases. Similarly formula for potential energy for the hydrogen atom can be given as P.E. =- k Z e^2 r Where k is constant, e is charge on an electron, r is radius of orbital and Z is the number of protons in the nucleus. We can see that potential energy is also inversely proportional to the radius

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