Convert the hydrogen spectroscope readings to wavelengths. 3. Use the best fit equation to convert the Hydrogen Spectroscope Readings in Data Table 2 to wavelengths, A exp. Record in the table below. 4. Calculate A theoretical for each of the four emission lines of hydrogen using Equation 3. 5. Calculate the percent error between A exp and A theoretical for each spectral line. Hydrogen Colors A exp Transition A theor % error (n © 2) Red 30 2 Blue-green 40 2 Blue n/a 50 2 n/a n/a Violet 60 2

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I'm struggling a bit to understand what I need to do for my actual Experimental Spectroscope Reading for Hydrogen to turn them into wavelengths

### Convert the Hydrogen Spectroscope Readings to Wavelengths

#### Instructions:
1. Use the best fit equation to convert the Hydrogen Spectroscope Readings in Data Table 2 to wavelengths, \( \lambda_{\text{exp}} \). Record in the table below.
2. Calculate \( \lambda_{\text{theor}} \) for each of the four emission lines of hydrogen using Equation 3.
3. Calculate the percent error between \( \lambda_{\text{exp}} \) and \( \lambda_{\text{theor}} \) for each spectral line.

#### Data Table:

| Hydrogen Colors | \( \lambda_{\text{exp}} \) | Transition (n ⟶ 2) | \( \lambda_{\text{theor}} \) | % error |
|-----------------|---------------------------|---------------------|-----------------------------|---------|
| Red             |                            | 3 ⟶ 2               |                             |         |
| Blue-green      |                            | 4 ⟶ 2               |                             |         |
| Blue            | n/a                        | 5 ⟶ 2               | n/a                         | n/a     |
| Violet          |                            | 6 ⟶ 2               |                             |         |

- \( \lambda_{\text{exp}} \) refers to the experimentally determined wavelength.
- \( \lambda_{\text{theor}} \) refers to the theoretically calculated wavelength based on known formulas.
- The percent error is calculated to assess the accuracy of experimental measurements.

This table helps organize the conversion of hydrogen spectroscope readings into wavelengths and facilitates the comparison of experimental results with theoretical predictions.
Transcribed Image Text:### Convert the Hydrogen Spectroscope Readings to Wavelengths #### Instructions: 1. Use the best fit equation to convert the Hydrogen Spectroscope Readings in Data Table 2 to wavelengths, \( \lambda_{\text{exp}} \). Record in the table below. 2. Calculate \( \lambda_{\text{theor}} \) for each of the four emission lines of hydrogen using Equation 3. 3. Calculate the percent error between \( \lambda_{\text{exp}} \) and \( \lambda_{\text{theor}} \) for each spectral line. #### Data Table: | Hydrogen Colors | \( \lambda_{\text{exp}} \) | Transition (n ⟶ 2) | \( \lambda_{\text{theor}} \) | % error | |-----------------|---------------------------|---------------------|-----------------------------|---------| | Red | | 3 ⟶ 2 | | | | Blue-green | | 4 ⟶ 2 | | | | Blue | n/a | 5 ⟶ 2 | n/a | n/a | | Violet | | 6 ⟶ 2 | | | - \( \lambda_{\text{exp}} \) refers to the experimentally determined wavelength. - \( \lambda_{\text{theor}} \) refers to the theoretically calculated wavelength based on known formulas. - The percent error is calculated to assess the accuracy of experimental measurements. This table helps organize the conversion of hydrogen spectroscope readings into wavelengths and facilitates the comparison of experimental results with theoretical predictions.
### Table 2: Hydrogen Spectroscopy Data

This table presents data on various colors of hydrogen observed through spectroscopy. The attributes measured include the approximate spectroscope range, the experimental spectroscope reading, and the transition levels denoted by \( n \rightarrow 2 \).

| **Hydrogen Colors** | **Approximate Spectroscope Range** | **Spectroscope Reading (experimental)** | **Transition \( n \rightarrow 2 \)** |
|---------------------|-----------------------------------|---------------------------------------|-----------------------------------|
| Red                 | (6.5-7.1)                         | 7.3                                   | 3 ⟶ 2                            |
| Blue-green          | (4.9-5.4)                         | 4.5                                   | 4 ⟶ 2                            |
| Blue-purple         | (4.5-4.9)                         | n/a                                   | 5 ⟶ 2                            |
| Violet              | (4.0-4.5)                         | 4.1                                   | 6 ⟶ 2                            |

#### Explanation of Columns:
1. **Hydrogen Colors**: This column lists the colors observed during hydrogen spectroscopy.
2. **Approximate Spectroscope Range**: This column shows the range of wavelength values (in arbitrary units).
3. **Spectroscope Reading (experimental)**: This column displays the actual spectroscopic readings obtained from experiments.
4. **Transition \( n \rightarrow 2 \)**: This column indicates the energy level transition corresponding to the observed color, where \( n \) transitions to 2.

Understanding these transitions is essential for studying the emission spectra of hydrogen, as these values reflect the discrete energy levels hydrogen electrons can occupy and the photons emitted during transitions.

For additional information or experimental context, please consult the related educational materials on hydrogen spectroscopy.
Transcribed Image Text:### Table 2: Hydrogen Spectroscopy Data This table presents data on various colors of hydrogen observed through spectroscopy. The attributes measured include the approximate spectroscope range, the experimental spectroscope reading, and the transition levels denoted by \( n \rightarrow 2 \). | **Hydrogen Colors** | **Approximate Spectroscope Range** | **Spectroscope Reading (experimental)** | **Transition \( n \rightarrow 2 \)** | |---------------------|-----------------------------------|---------------------------------------|-----------------------------------| | Red | (6.5-7.1) | 7.3 | 3 ⟶ 2 | | Blue-green | (4.9-5.4) | 4.5 | 4 ⟶ 2 | | Blue-purple | (4.5-4.9) | n/a | 5 ⟶ 2 | | Violet | (4.0-4.5) | 4.1 | 6 ⟶ 2 | #### Explanation of Columns: 1. **Hydrogen Colors**: This column lists the colors observed during hydrogen spectroscopy. 2. **Approximate Spectroscope Range**: This column shows the range of wavelength values (in arbitrary units). 3. **Spectroscope Reading (experimental)**: This column displays the actual spectroscopic readings obtained from experiments. 4. **Transition \( n \rightarrow 2 \)**: This column indicates the energy level transition corresponding to the observed color, where \( n \) transitions to 2. Understanding these transitions is essential for studying the emission spectra of hydrogen, as these values reflect the discrete energy levels hydrogen electrons can occupy and the photons emitted during transitions. For additional information or experimental context, please consult the related educational materials on hydrogen spectroscopy.
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