what are the frequency and wavelength of a photon emitted during a transition from n = 5 state to the n =2 state in the hydrogen atom?

Explanation

To find the frequency and wavelength of a photon emitted during a transition from the n = 5 state to the n = 2 state in a hydrogen atom, we can follow these steps:

### Step 1: Calculate the Change in Energy (ΔE)
The change in energy for a transition in a hydrogen atom can be calculated using the formula:

\[ \Delta E = 2.18 \times 10^{-18} \left( \frac{1}{n_i^2} - \frac{1}{n_f^2} \right) \]
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