а. Perform one sample calculation: to calculate AE in J and wavelength A in nm and complete the following table : Show one sample calculation 5 4 3 2 1 6. AE = ΔΕ - AE = AE = AE = 2.66x10-20 J 1 = 7470 nm 5 AE = AE = AE = AE = X 4 ΔΕ - AE = AE = X X = 3 AE = AE = X X = X 2 ΔΕ- X X X X

Physics for Scientists and Engineers with Modern Physics
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Author:Raymond A. Serway, John W. Jewett
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Chapter41: Atomic Physics
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## Sample Calculation for Energy (ΔE) and Wavelength (λ)

### Task Instructions:
Perform one sample calculation to determine the energy difference (ΔE in J) and the corresponding wavelength (λ in nm) using the given table. 

### Provided Table:
The table below includes initial and final energy levels (n) and requires the calculation of ΔE and λ.

| n  | 5                               | 4               | 3                 | 2                 | 1                 |
|----|---------------------------------|-----------------|-------------------|-------------------|-------------------|
| 6  | ΔE = 2.66x10⁻²⁰ J              | ΔE =            | ΔE =              | ΔE =              | ΔE =              |
|    | λ = 7470 nm                     | λ =             | λ =               | λ =               | λ =               |
| 5  | X                               | ΔE =            | ΔE =              | ΔE =              | ΔE =              |
|    |                                 | λ =             | λ =               | λ =               | λ =               |
| 4  | X                               | X               | ΔE =              | ΔE =              | ΔE =              |
|    |                                 |                 | λ =               | λ =               | λ =               |
| 3  | X                               | X               | X                 | ΔE =              | ΔE =              |
|    |                                 |                 |                   | λ =               | λ =               |
| 2  | X                               | X               | X                 | X                 | ΔE =              |
|    |                                 |                 |                   |                   | λ =               |

**Note: 'X' denotes that no transition is possible.**

### Wavelength and Color Reference Table

The following table assists in determining the color associated with specific wavelengths:

| Wavelength (nm) | Color       |
|-----------------|-------------|
| 656.2           | Red         |
| 486.1           | Blue-green  |
| 434.0           | Blue-violet |
| 410.1           | Violet      |

### Detailed Explanation:
**Transition from \( n = 6 \) to \( n = 5 \):**

Given energy difference (ΔE) = 2.66 x 10⁻²⁰ J

Given wavelength (λ) =
Transcribed Image Text:## Sample Calculation for Energy (ΔE) and Wavelength (λ) ### Task Instructions: Perform one sample calculation to determine the energy difference (ΔE in J) and the corresponding wavelength (λ in nm) using the given table. ### Provided Table: The table below includes initial and final energy levels (n) and requires the calculation of ΔE and λ. | n | 5 | 4 | 3 | 2 | 1 | |----|---------------------------------|-----------------|-------------------|-------------------|-------------------| | 6 | ΔE = 2.66x10⁻²⁰ J | ΔE = | ΔE = | ΔE = | ΔE = | | | λ = 7470 nm | λ = | λ = | λ = | λ = | | 5 | X | ΔE = | ΔE = | ΔE = | ΔE = | | | | λ = | λ = | λ = | λ = | | 4 | X | X | ΔE = | ΔE = | ΔE = | | | | | λ = | λ = | λ = | | 3 | X | X | X | ΔE = | ΔE = | | | | | | λ = | λ = | | 2 | X | X | X | X | ΔE = | | | | | | | λ = | **Note: 'X' denotes that no transition is possible.** ### Wavelength and Color Reference Table The following table assists in determining the color associated with specific wavelengths: | Wavelength (nm) | Color | |-----------------|-------------| | 656.2 | Red | | 486.1 | Blue-green | | 434.0 | Blue-violet | | 410.1 | Violet | ### Detailed Explanation: **Transition from \( n = 6 \) to \( n = 5 \):** Given energy difference (ΔE) = 2.66 x 10⁻²⁰ J Given wavelength (λ) =
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