Calculate the two highest wavelength of the radiation emitted when hydrogen atoms make transition from higher state to `n = 2`

Explanation

To calculate the two highest wavelengths of radiation emitted when hydrogen atoms transition from higher energy states to \( n = 2 \), we will follow these steps:

### Step 1: Identify the transitions
The two highest wavelengths correspond to the lowest energy transitions. For transitions to \( n = 2 \), the relevant higher states are \( n = 3 \) and \( n = 4 \).

### Step 2: Calculate the energy levels
The energy of an electron in a hydrogen atom at a given principal quantum number \( n \) is given by the formula:
\[
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