Find out the ratio of energies of photons produced when an electron (i) makes transition from the second permitted level to the first level, (ii) highest permitted level to the `3^(rd)` permitted level.

Explanation

To solve the problem of finding the ratio of energies of photons produced when an electron transitions between specified energy levels, we will follow these steps:

### Step 1: Understand the Energy Transition
The energy of a photon emitted during an electron transition between energy levels can be calculated using the Rydberg formula. The energy of the photon is related to the wave number (1/λ) by the equation:
\[ E = h \cdot c \cdot \frac{1}{\lambda} \]

### Step 2: Apply Rydberg’s Formula
Rydberg's formula for the wave number (1/λ) is given by:
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