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 = 3 to the level n = 1. 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
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**Title:** Calculating the Wavelength of a Spectral Line in Hydrogen Atom Transitions

**Description:** This educational resource guides students in calculating the wavelength of a spectral line produced when an electron in a hydrogen atom transitions between energy levels.

**Problem Statement:**

Calculate the wavelength, in nanometers, of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level \( n = 3 \) to the level \( n = 1 \).

**Solution Space:**

\[ \lambda = \]
__(Enter your answer here)__ nm

**Explanation:**
- The task involves using the Rydberg formula to find the wavelength of light emitted during the electron transition from a higher energy level to a lower one.
- This is an essential concept in atomic physics that helps understand the emission spectrum of elements.

**Notes:**

- No graphs or diagrams are provided in the image.
- Ensure calculations are carried out correctly, and remember to convert the final answer into nanometers (1 meter = 1,000,000,000 nanometers).
Transcribed Image Text:**Title:** Calculating the Wavelength of a Spectral Line in Hydrogen Atom Transitions **Description:** This educational resource guides students in calculating the wavelength of a spectral line produced when an electron in a hydrogen atom transitions between energy levels. **Problem Statement:** Calculate the wavelength, in nanometers, of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level \( n = 3 \) to the level \( n = 1 \). **Solution Space:** \[ \lambda = \] __(Enter your answer here)__ nm **Explanation:** - The task involves using the Rydberg formula to find the wavelength of light emitted during the electron transition from a higher energy level to a lower one. - This is an essential concept in atomic physics that helps understand the emission spectrum of elements. **Notes:** - No graphs or diagrams are provided in the image. - Ensure calculations are carried out correctly, and remember to convert the final answer into nanometers (1 meter = 1,000,000,000 nanometers).
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