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JEE Main 20154 April

Exam: JEE Main
Year: 2015
Date: 4 April
Subject: Physics
Chapter: Atomic Physics

JEE Main 2015 · 4 April · Physics · Atomic Physics

As an electron makes a transition from an excited state to the...

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

Options

Akinetic energy and total energy decrease but potential energy increases
Bits kinetic energy increases but potential energy and total energy decrease
Ckinetic energy, potential energy and total energy decrease
Dkinetic energy decreases, potential energy increases but total energy remains same

Correct answer

B. its kinetic energy increases but potential energy and total energy decrease

Step-by-step solution

U = - \dfrac{{e}^{2}}{4{\pi ε}_{0}r}

,

U

= potential energy,

K = \dfrac{{e}^{2}}{4{\pi ε}_{0}r}

K

=kinetic energy.

E = U + K = - \dfrac{{e}^{2}}{8{\pi ε}_{0}r}

,

E

=total energy

∴

As electron de-excites from an excited state to ground state,

K

increases, but

U

and

E

decrease.

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