Calculate the wavelength, in nanometers, of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level n = 7 to the level n = 2. 1 = 251.8 nm
Calculate the wavelength, in nanometers, of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level n = 7 to the level n = 2. 1 = 251.8 nm
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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![**Problem:**
Calculate the wavelength, in nanometers, of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level \( n = 7 \) to the level \( n = 2 \).
\[
\lambda = \boxed{251.8} \text{ nm}
\]
**Explanation:**
When an electron transitions between energy levels in a hydrogen atom, it emits a photon of light. The wavelength of this light can be calculated using the Rydberg formula. In this problem, the transition is from \( n = 7 \) to \( n = 2 \), and the calculated wavelength of the emitted spectral line is 251.8 nanometers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0c177a7-78e8-4561-b8b1-3c468c1708c0%2F640e008f-a49d-4fb9-b294-3dd3ea6eee6a%2Fpg9qu3v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem:**
Calculate the wavelength, in nanometers, of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level \( n = 7 \) to the level \( n = 2 \).
\[
\lambda = \boxed{251.8} \text{ nm}
\]
**Explanation:**
When an electron transitions between energy levels in a hydrogen atom, it emits a photon of light. The wavelength of this light can be calculated using the Rydberg formula. In this problem, the transition is from \( n = 7 \) to \( n = 2 \), and the calculated wavelength of the emitted spectral line is 251.8 nanometers.
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