(d) 1 55 x 10 19 Hz (e) 2.56 x 105 Hz 25. The electron on a hydrogen atom has gained enough energy to be in the n=5 energy level. Over time the electron releases that energy, by sequentially moving the each of the lower (n= 4, 3, 2, and 1) energy levels, releasing a photon of light with each energy level change. During which of those transitions does the emitted photon have the shortest wavelength? (a) From n = 5 to n = 4. (b) From n = 4 to n= 3. (c) From n = 3 to n = 2. (d) From n = 2 to n = 1. (e) The photons all have the same energy.

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Chapter11: Modern Atomic Theory
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I need help with question 25
**Quantum Physics: Photon Emission and Atomic Energy Levels**

**Question 24:**
An electron in a hydrogen atom transitions from the n=3 to n=1 energy level, releasing a photon in the process. What is the frequency of the photon being released?

Options:
- (a) 1.09 x 10¹⁵ Hz
- (b) 2.34 x 10¹⁴ Hz
- (c) 7.31 x 10¹⁴ Hz
- (d) 1.55 x 10¹⁶ Hz
- (e) 2.56 x 10¹⁵ Hz

**Question 25:**
An electron in a hydrogen atom gains energy to be in the n=5 energy level. The electron releases energy by moving through the lower n=4, 3, 2, and 1 energy levels, emitting a photon with each level change. During which transition does the emitted photon have the shortest wavelength?

Options:
- (a) From n=5 to n=4
- (b) From n=4 to n=3
- (c) From n=3 to n=2
- (d) **From n=2 to n=1**
- (e) The photons all have the same energy

**Question 26:**
An atom of helium (He⁺) has its electron in the n=3 energy level. The atom is struck by a photon with an energy of 7.27 x 10⁻¹⁹ J, exciting the electron to a higher energy level. What level has the electron been excited to?

Options:
- (a) 2
- (b) 4
- (c) 5
- (d) **6**
- (e) 7

(Note: The correct answer for each question is bolded.)
Transcribed Image Text:**Quantum Physics: Photon Emission and Atomic Energy Levels** **Question 24:** An electron in a hydrogen atom transitions from the n=3 to n=1 energy level, releasing a photon in the process. What is the frequency of the photon being released? Options: - (a) 1.09 x 10¹⁵ Hz - (b) 2.34 x 10¹⁴ Hz - (c) 7.31 x 10¹⁴ Hz - (d) 1.55 x 10¹⁶ Hz - (e) 2.56 x 10¹⁵ Hz **Question 25:** An electron in a hydrogen atom gains energy to be in the n=5 energy level. The electron releases energy by moving through the lower n=4, 3, 2, and 1 energy levels, emitting a photon with each level change. During which transition does the emitted photon have the shortest wavelength? Options: - (a) From n=5 to n=4 - (b) From n=4 to n=3 - (c) From n=3 to n=2 - (d) **From n=2 to n=1** - (e) The photons all have the same energy **Question 26:** An atom of helium (He⁺) has its electron in the n=3 energy level. The atom is struck by a photon with an energy of 7.27 x 10⁻¹⁹ J, exciting the electron to a higher energy level. What level has the electron been excited to? Options: - (a) 2 - (b) 4 - (c) 5 - (d) **6** - (e) 7 (Note: The correct answer for each question is bolded.)
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