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Question:

As an electron makes a transition from an excited state to the ground state of a hydrogen-like atom, what happens to its kinetic energy, potential energy, and total energy?

kinetic energy and total energy decreases but potential energy increase

its kinetic energy increases but potential energy and total energy decrease

kinetic energy, potential energy and total energy decrease

kinetic energy decreases, potential energy increases but total energy remains same

Solution:

K.E∝1/r
P.E∝-2/r
T.E∝-1/r
As electron shifts from excited state to ground state radius will decrease.
→K.E↑
P.E↓
T.E↓