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A sample containing 12c, 160, and an unknown isotope is analyzed in a mass spectrometer. As in the figure, the ions move around a semicircle before striking a photographic plate. The 12c* and 16o* ions are separated by 6.420 cm on the plate, and the unknown isotope strikes the plate 4.920 cm from the 12c* ions. What is the mass of the unknown element? Uniform B between poles of magnet

A sample containing 12c, 160, and an unknown isotope is analyzed in a mass spectrometer. As in the figure, the ions move around a semicircle before striking a photographic plate. The 12c* and 16o* ions are separated by 6.420 cm on the plate, and the unknown isotope strikes the plate 4.920 cm from the 12c* ions. What is the mass of the unknown element? Uniform B between poles of magnet

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter30: Nuclear Physics
Section: Chapter Questions
Problem 50P
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A sample containing \(^{12}\text{C}\), \(^{16}\text{O}\), and an unknown isotope is analyzed in a mass spectrometer. As in the figure, the ions move around a semicircle before striking a photographic plate. The \(^{12}\text{C}^+\) and \(^{16}\text{O}^+\) ions are separated by 6.420 cm on the plate, and the unknown isotope strikes the plate 4.920 cm from the \(^{12}\text{C}^+\) ions. What is the mass of the unknown element? **Diagram Explanation:** The diagram shows the path of ions in a mass spectrometer. Key components include: - **Ion Source:** Where ions are generated. - **Accelerating Potential (\(\Delta V\)):** Accelerates the low-speed ions that enter. - **Uniform Magnetic Field (\(\mathbf{B}\)):** Ions travel through this field, causing them to move in a circular path. - **Photographic Plate or Detector:** This captures the location where ions strike. The semicircular paths illustrate how ions separate based on their mass-to-charge ratios, with the \(^{12}\text{C}^+\) ions used as a reference point. The distances between paths on the photographic plate allow for calculation of unknown masses.
Transcribed Image Text:A sample containing \(^{12}\text{C}\), \(^{16}\text{O}\), and an unknown isotope is analyzed in a mass spectrometer. As in the figure, the ions move around a semicircle before striking a photographic plate. The \(^{12}\text{C}^+\) and \(^{16}\text{O}^+\) ions are separated by 6.420 cm on the plate, and the unknown isotope strikes the plate 4.920 cm from the \(^{12}\text{C}^+\) ions. What is the mass of the unknown element? **Diagram Explanation:** The diagram shows the path of ions in a mass spectrometer. Key components include: - **Ion Source:** Where ions are generated. - **Accelerating Potential (\(\Delta V\)):** Accelerates the low-speed ions that enter. - **Uniform Magnetic Field (\(\mathbf{B}\)):** Ions travel through this field, causing them to move in a circular path. - **Photographic Plate or Detector:** This captures the location where ions strike. The semicircular paths illustrate how ions separate based on their mass-to-charge ratios, with the \(^{12}\text{C}^+\) ions used as a reference point. The distances between paths on the photographic plate allow for calculation of unknown masses.
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