Please show all work ### Constants needed for the calculations:- $ c = 3.00 \times 10^8 \, \text{meters/second} $- Planck's Constant ($ h $) = $ 6.63 \times 10^{-34} \, \text{joules seconds} $- $ n_f = 2 $### Table of Wavelengths and Calculations:| | Red Light | Green Light | Blue Light | Violet Light ||----------------------|---------------|---------------|---------------|---------------|| **Wavelength (nm)** | 656.2 nm | 486.1 nm | 434.0 nm | 410.0 nm || **Wavelength (m)** | | | | || **ΔE (J)** | | | | || **$ n_i $** | | | | |#### Explanation:This table presents wavelengths for different colors of light:- **Red Light**: 656.2 nanometers (nm)- **Green Light**: 486.1 nanometers (nm)- **Blue Light**: 434.0 nanometers (nm)- **Violet Light**: 410.0 nanometers (nm)### To Be Calculated:1. **Wavelength (m)**: Convert the wavelength from nanometers (nm) to meters (m).2. **ΔE (J)**: Calculate the energy difference using the given constants.3. **$ n_i $**: Determine initial quantum number based on given final quantum number ($ n_f = 2 $).### Conversion and Calculation Steps:1. **Convert Wavelength (nm) to Wavelength (m)**: - $ \text{Wavelength (m)} = \text{Wavelength (nm)} \times 10^{-9} $2. **Calculate Energy (ΔE in J)** using the formula: - $ \Delta E = h \times \frac{c}{\text{Wavelength (m)}} $3. **Determine Initial Quantum Number ($ n_i $)**: - Use appropriate quantum mechanical equations to find $ n_i $ based on energy levels and $ n_f $.This structured information helps students understand the relationships between wavelength, energy, and quantum numbers

The expression of energy is shown below: where; h = Planck's constant c = speed of light λ =…

Answered: Constants needed for the calculations:…

Constants needed for the calculations: c = 3.00 x 100 meters/second Planck's Constant (h) = 6.63 x 10-34 joules seconds nr = 2

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

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

Please show all work

### Constants needed for the calculations:
- $ c = 3.00 \times 10^8 \, \text{meters/second} $
- Planck's Constant ($ h $) = $ 6.63 \times 10^{-34} \, \text{joules seconds} $
- $ n_f = 2 $

### Table of Wavelengths and Calculations:

| | Red Light | Green Light | Blue Light | Violet Light |
|----------------------|---------------|---------------|---------------|---------------|
| **Wavelength (nm)** | 656.2 nm | 486.1 nm | 434.0 nm | 410.0 nm |
| **Wavelength (m)** | | | | |
| **ΔE (J)** | | | | |
| **$ n_i $** | | | | |

#### Explanation:

This table presents wavelengths for different colors of light:

- **Red Light**: 656.2 nanometers (nm)
- **Green Light**: 486.1 nanometers (nm)
- **Blue Light**: 434.0 nanometers (nm)
- **Violet Light**: 410.0 nanometers (nm)

### To Be Calculated:

1. **Wavelength (m)**: Convert the wavelength from nanometers (nm) to meters (m).
2. **ΔE (J)**: Calculate the energy difference using the given constants.
3. **$ n_i $**: Determine initial quantum number based on given final quantum number ($ n_f = 2 $).

### Conversion and Calculation Steps:

1. **Convert Wavelength (nm) to Wavelength (m)**:
- $ \text{Wavelength (m)} = \text{Wavelength (nm)} \times 10^{-9} $

2. **Calculate Energy (ΔE in J)** using the formula:
- $ \Delta E = h \times \frac{c}{\text{Wavelength (m)}} $

3. **Determine Initial Quantum Number ($ n_i $)**:
- Use appropriate quantum mechanical equations to find $ n_i $ based on energy levels and $ n_f $.

This structured information helps students understand the relationships between wavelength, energy, and quantum numbers

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