6. Which photon will correspond with the transition labeled B? a. The absorption of a 248 nm photon. b. The emission of a 155 nm photon. c. The emission of a 487 nm photon. d. The absorption of a 155 nm photon. e. The emission of a 248 nm photon.

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### Quantum Transitions and Photons

In this exercise, we will analyze transitions between energy levels and their corresponding photon absorptions and emissions.

#### Diagram Explanation:
The diagram provided is an energy level diagram displaying different principal quantum numbers and their corresponding energy levels measured in electron volts (eV).

- **Principal Quantum Numbers (n):** These run along the vertical axis and are marked from n=1 to n=5.
- **Energy Levels:** The energy levels associated with each principal quantum number are marked. For instance:
  - n=1 has an energy of -15 eV.
  - n=2 has an energy of -8 eV.
  - n=3 has an energy of -5 eV.
  - n=4 has an energy of -3 eV.

#### Transitions:

- **Transition A:** From n=2 to n=1.
- **Transition B:** From n=3 to n=2.
- **Transition C:** From n=4 to n=3.
- **Transition D:** From n=4 to n=1.
- **Transition E:** From n=3 to n=4.

#### Questions:

**5. Which transition corresponds to the absorption of the photon with the shortest wavelength?**

The photon with the shortest wavelength corresponds to the largest energy difference. 

- A. A.
- B. B.
- C. C.
- D. D.
- E. E.

**6. Which photon will correspond with the transition labeled B?**

Transition B is from n=3 to n=2.

- A. The absorption of a 248 nm photon.
- B. The emission of a 155 nm photon.
- C. The emission of a 487 nm photon.
- D. The absorption of a 155 nm photon.
- E. The emission of a 248 nm photon.

To answer these questions correctly, remember that the energy of a photon is inversely proportional to its wavelength. The energy of the transition can be calculated using the formula:

\[ E = \frac{hc}{\lambda} \]

where \( h \) is Planck's constant, \( c \) is the speed of light, and \( \lambda \) is the wavelength. Large energy differences correspond to shorter wavelengths.
Transcribed Image Text:### Quantum Transitions and Photons In this exercise, we will analyze transitions between energy levels and their corresponding photon absorptions and emissions. #### Diagram Explanation: The diagram provided is an energy level diagram displaying different principal quantum numbers and their corresponding energy levels measured in electron volts (eV). - **Principal Quantum Numbers (n):** These run along the vertical axis and are marked from n=1 to n=5. - **Energy Levels:** The energy levels associated with each principal quantum number are marked. For instance: - n=1 has an energy of -15 eV. - n=2 has an energy of -8 eV. - n=3 has an energy of -5 eV. - n=4 has an energy of -3 eV. #### Transitions: - **Transition A:** From n=2 to n=1. - **Transition B:** From n=3 to n=2. - **Transition C:** From n=4 to n=3. - **Transition D:** From n=4 to n=1. - **Transition E:** From n=3 to n=4. #### Questions: **5. Which transition corresponds to the absorption of the photon with the shortest wavelength?** The photon with the shortest wavelength corresponds to the largest energy difference. - A. A. - B. B. - C. C. - D. D. - E. E. **6. Which photon will correspond with the transition labeled B?** Transition B is from n=3 to n=2. - A. The absorption of a 248 nm photon. - B. The emission of a 155 nm photon. - C. The emission of a 487 nm photon. - D. The absorption of a 155 nm photon. - E. The emission of a 248 nm photon. To answer these questions correctly, remember that the energy of a photon is inversely proportional to its wavelength. The energy of the transition can be calculated using the formula: \[ E = \frac{hc}{\lambda} \] where \( h \) is Planck's constant, \( c \) is the speed of light, and \( \lambda \) is the wavelength. Large energy differences correspond to shorter wavelengths.
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