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Based on the energy level diagram to the right, which transition corresponds to emission of a photon with the longest wavelength? Energy OD to B OC to B OC to A OD to A

Based on the energy level diagram to the right, which transition corresponds to emission of a photon with the longest wavelength? Energy OD to B OC to B OC to A OD to A

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Understanding Energy Level Transitions** **Question:** Based on the energy level diagram to the right, which transition corresponds to the emission of a photon with the longest wavelength? **Diagram Description:** The diagram represents an energy level system with four distinct energy levels labeled from A (lowest energy) to D (highest energy). The energy increases as you move upwards from A to D. - **Level A:** Lowest Energy - **Level B:** Higher than A but lower than C and D - **Level C:** Higher than B but lower than D - **Level D:** Highest Energy **Options:** - \( \circ \) \( D \) to \( B \) - \( \circ \) \( C \) to \( B \) - \( \circ \) \( C \) to \( A \) - \( \circ \) \( D \) to \( A \) - \( \circ \) \( B \) to \( A \) **Explanation:** The emission of a photon during an electron transition between energy levels corresponds to the energy difference between those levels. According to the wavelength-energy relationship, the energy (E) of a photon is inversely proportional to its wavelength (\(λ\)). \[ E \propto \frac{1}{λ} \] Therefore, the transition with the smallest energy difference will emit a photon with the longest wavelength. Referencing the provided energy levels: - **D to B**: Large energy difference - **C to B**: Smaller energy difference - **C to A**: Larger energy difference - **D to A**: Largest energy difference - **B to A**: Smallest energy difference The smallest energy difference is seen in the transition from B to A. Hence, the photon emitted in the B to A transition will have the longest wavelength. **Correct Answer:** \( \circ \) \( B \) to \( A \)
Transcribed Image Text:**Understanding Energy Level Transitions** **Question:** Based on the energy level diagram to the right, which transition corresponds to the emission of a photon with the longest wavelength? **Diagram Description:** The diagram represents an energy level system with four distinct energy levels labeled from A (lowest energy) to D (highest energy). The energy increases as you move upwards from A to D. - **Level A:** Lowest Energy - **Level B:** Higher than A but lower than C and D - **Level C:** Higher than B but lower than D - **Level D:** Highest Energy **Options:** - \( \circ \) \( D \) to \( B \) - \( \circ \) \( C \) to \( B \) - \( \circ \) \( C \) to \( A \) - \( \circ \) \( D \) to \( A \) - \( \circ \) \( B \) to \( A \) **Explanation:** The emission of a photon during an electron transition between energy levels corresponds to the energy difference between those levels. According to the wavelength-energy relationship, the energy (E) of a photon is inversely proportional to its wavelength (\(λ\)). \[ E \propto \frac{1}{λ} \] Therefore, the transition with the smallest energy difference will emit a photon with the longest wavelength. Referencing the provided energy levels: - **D to B**: Large energy difference - **C to B**: Smaller energy difference - **C to A**: Larger energy difference - **D to A**: Largest energy difference - **B to A**: Smallest energy difference The smallest energy difference is seen in the transition from B to A. Hence, the photon emitted in the B to A transition will have the longest wavelength. **Correct Answer:** \( \circ \) \( B \) to \( A \)
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