11. In the Balmer series, during which of the following energy state changes of the hydrogen atom is the photon with the most energy emitted? (A) n = 5 directly to n = 2 (B) n = 4 directly to n = 2

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**Quantum Mechanics and Atomic Structure: Energy States of the Hydrogen Atom**

**Question 11: Energy State Changes in the Balmer Series**

In the Balmer series of hydrogen, photons are emitted when electrons transition from a higher energy level to the n = 2 level. The question is: during which of the following energy state changes of the hydrogen atom is the photon with the most energy emitted?
- (A) n = 5 directly to n = 2
- (B) n = 4 directly to n = 2
- (C) n = 2 directly to n = 4
- (D) n = 2 directly to n = 5

**Question 12: Ionization Energy of Hydrogen**

The question inquires about the minimum energy needed to ionize a hydrogen atom when it is in the n = 2 state.
- (A) 1.9 eV
- (B) 3.4 eV
- (C) 12.2 eV
- (D) 13.6 eV 

Understanding the concepts of energy level transitions and ionization energy is crucial in quantum mechanics and atomic physics. In the context of the Balmer series, the most energetic photon emission occurs for the transition that releases the most energy, and ionization energy varies depending on the initial energy state of the electron.
Transcribed Image Text:**Quantum Mechanics and Atomic Structure: Energy States of the Hydrogen Atom** **Question 11: Energy State Changes in the Balmer Series** In the Balmer series of hydrogen, photons are emitted when electrons transition from a higher energy level to the n = 2 level. The question is: during which of the following energy state changes of the hydrogen atom is the photon with the most energy emitted? - (A) n = 5 directly to n = 2 - (B) n = 4 directly to n = 2 - (C) n = 2 directly to n = 4 - (D) n = 2 directly to n = 5 **Question 12: Ionization Energy of Hydrogen** The question inquires about the minimum energy needed to ionize a hydrogen atom when it is in the n = 2 state. - (A) 1.9 eV - (B) 3.4 eV - (C) 12.2 eV - (D) 13.6 eV Understanding the concepts of energy level transitions and ionization energy is crucial in quantum mechanics and atomic physics. In the context of the Balmer series, the most energetic photon emission occurs for the transition that releases the most energy, and ionization energy varies depending on the initial energy state of the electron.
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