Atomic masses 12C 14N 160 12.000 u 14.003 u 15.995 u To five significant figures, what is the cyclotron frequency in a 3.0000 T magnetic field of the ion O? The atomic masses are shown in the table; the mass of the missing electron is less than 0.001 u and is not relevant at this level of precision. Use the following constants: 1 u 1.6605 x 10-27 kg. e 1.6022 x 10-19 C. Express your answer with the appropriate units. ▸ View Available Hint(s) fo; Value Submit Previous Answers Part B 3 Js;= Value * Incorrect; Try Again; 14 attempts remaining Submit Part C · 0 To five significant figures, what is the cyclotron frequency in a 3.0000 T magnetic field of the ion N₂ ? Express your answer with the appropriate units. View Available Hint(s) Units ↑ ? → Ċ Units ? Review Although N and CO* both have a nominal molecular mass of 28, they are easily distinguished by virtue of their slightly different cyclotron frequencies. To five significant figures, what is the cyclotron frequency in a 3.0000 T magnetic field of the ion Cot? Express your answer with the appropriate units. ▸ View Available Hint(s)

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The image appears to be a problem set from an educational website, focusing on calculating the cyclotron frequency of ions in a magnetic field. Here's a detailed transcription and explanation: 

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### Atomic Masses

| Element  | Atomic Mass (u) |
|----------|-----------------|
| ¹²C      | 12.000 u        |
| ¹⁴N      | 14.003 u        |
| ¹⁶O      | 15.995 u        |

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### Problem Statement

To five significant figures, determine the cyclotron frequency in a 3.0000 T magnetic field of the ions specified below. The atomic masses are given in the table, and the mass of the missing electron is less than 0.001 u and not relevant for this precision level. Use the constants: 
- \( 1 \, \text{u} = 1.6605 \times 10^{-27} \, \text{kg} \)
- \( e = 1.6022 \times 10^{-19} \, \text{C} \)

#### Part A
- Find the cyclotron frequency for the ion \( \text{O}_2^{+} \).
- Input your answer with the appropriate units.
- Incorrect attempt noted, with 14 attempts remaining.

#### Part B
- Find the cyclotron frequency for the ion \( \text{N}_2^{+} \).
- Input your answer with the appropriate units.

#### Part C
- Although \( \text{N}_2^{+} \) and \( \text{CO}^{+} \) both have a nominal molecular mass of 28, they can be distinguished by their cyclotron frequencies.
- Calculate the cyclotron frequency for the ion \( \text{CO}^{+} \) in a 3.0000 T magnetic field.
- Input your answer with the appropriate units.

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For each part, the problem requires expressing the answer to five significant figures and in the correct units. Hints are available, and students must submit their answers, receiving feedback on accuracy.
Transcribed Image Text:The image appears to be a problem set from an educational website, focusing on calculating the cyclotron frequency of ions in a magnetic field. Here's a detailed transcription and explanation: --- ### Atomic Masses | Element | Atomic Mass (u) | |----------|-----------------| | ¹²C | 12.000 u | | ¹⁴N | 14.003 u | | ¹⁶O | 15.995 u | --- ### Problem Statement To five significant figures, determine the cyclotron frequency in a 3.0000 T magnetic field of the ions specified below. The atomic masses are given in the table, and the mass of the missing electron is less than 0.001 u and not relevant for this precision level. Use the constants: - \( 1 \, \text{u} = 1.6605 \times 10^{-27} \, \text{kg} \) - \( e = 1.6022 \times 10^{-19} \, \text{C} \) #### Part A - Find the cyclotron frequency for the ion \( \text{O}_2^{+} \). - Input your answer with the appropriate units. - Incorrect attempt noted, with 14 attempts remaining. #### Part B - Find the cyclotron frequency for the ion \( \text{N}_2^{+} \). - Input your answer with the appropriate units. #### Part C - Although \( \text{N}_2^{+} \) and \( \text{CO}^{+} \) both have a nominal molecular mass of 28, they can be distinguished by their cyclotron frequencies. - Calculate the cyclotron frequency for the ion \( \text{CO}^{+} \) in a 3.0000 T magnetic field. - Input your answer with the appropriate units. --- For each part, the problem requires expressing the answer to five significant figures and in the correct units. Hints are available, and students must submit their answers, receiving feedback on accuracy.
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