A particular hydrogen like radiation of frequency `2.467 xx 10^(15)Hz` when it makes transition from `n = 2 to n = 1` ,What will be the frequency of the radiation emitted in a transition from `n = 3 to n= 1`?

Explanation

To find the frequency of radiation emitted during the transition from \( n = 3 \) to \( n = 1 \) for a hydrogen-like atom, we can use the Rydberg formula for the frequency of emitted radiation during electronic transitions. Here’s a step-by-step solution:

### Step 1: Understand the Rydberg Formula
The frequency of radiation emitted during a transition from a higher energy level \( n_2 \) to a lower energy level \( n_1 \) is given by:
\[ \nu = RZ^2 \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right) \]
where:
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