Rearrange the Rydberg equation to solve for ninitial: λ = (2/1² - RH hc n 1

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3. Rearrange the Rydberg equation to solve for \( n_{\text{initial}} \):

\[
\frac{1}{\lambda} = \frac{R_H}{hc} \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} \right)
\]

In this equation:

- \(\lambda\) is the wavelength.
- \(R_H\) is the Rydberg constant.
- \(h\) is Planck's constant.
- \(c\) is the speed of light.
- \(n_f\) is the final energy level.
- \(n_i\) is the initial energy level.

The task is to rearrange the equation to solve explicitly for \( n_i \).
Transcribed Image Text:3. Rearrange the Rydberg equation to solve for \( n_{\text{initial}} \): \[ \frac{1}{\lambda} = \frac{R_H}{hc} \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} \right) \] In this equation: - \(\lambda\) is the wavelength. - \(R_H\) is the Rydberg constant. - \(h\) is Planck's constant. - \(c\) is the speed of light. - \(n_f\) is the final energy level. - \(n_i\) is the initial energy level. The task is to rearrange the equation to solve explicitly for \( n_i \).
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