A hydrogen atom initially in the ground level absorbs a photon, Which excites it to n=4 level. Determine the wavelength and frequency of photon.

Explanation

To solve the problem of determining the wavelength and frequency of a photon absorbed by a hydrogen atom that excites it from the ground state (n=1) to the n=4 level, we can follow these steps:

### Step 1: Determine the Energy Levels
The energy levels of a hydrogen atom are given by the formula:
\[ E_n = -\frac{13.6 \, \text{eV}}{n^2} \]
where \( n \) is the principal quantum number.
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