An electron makes a transition from an excited state to the ground state of a hydrogen like atom. Out of the following statements which one is correct? (a) Kinetic energy, potential energy and total energy decreases (b) Kinetic energy and total energy decreased but potential energy increases (c) Kinetic energy increases but potential energy and total energy decreases (d) Kinetic energy decreases, potential energy increases but total energy remains the same.

Answer: (c). KE = (ke²)/(2r), PE = -ke²/r, TE = -(ke²)/(2r). Moving to the ground state, r decreases: KE increases, PE and TE decrease (more negative). So the answer is (c).

An electron makes a transition from an excited state to the ground… | MHT CET 2021 (24 Sep, Shift 1)

Q31MHT CET 2021 · 24 SEP · SHIFT 1Easy

Energy of the Electron & Energy Levels

An electron makes a transition from an excited state to the ground state of a hydrogen like atom. Out of the following statements which one is correct?

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Answer: (c)

$KE = \frac{ke^2}{2r}$ , $PE = -\frac{ke^2}{r}$ , $TE = -\frac{ke^2}{2r}$ .
Moving to the ground state, $r$ decreases: KE increases, PE and TE decrease (more negative).
So the answer is (c).

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Energy of the Electron & Energy Levels question from MHT CET 2021 (24 Sep, Shift 1)

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