Ratio of the wavelengths of first line of Lyman series and first line of Balmer series is 5 : X then find X.

Explanation

To solve the problem of finding the value of \( X \) in the ratio of the wavelengths of the first line of the Lyman series to the first line of the Balmer series, we can follow these steps:

### Step 1: Understand the Series
The Lyman series corresponds to transitions from higher energy levels to the first energy level (n=1), while the Balmer series corresponds to transitions to the second energy level (n=2).

### Step 2: Identify the Transitions
- **First line of the Lyman series**: Transition from \( n=2 \) to \( n=1 \).
- **First line of the Balmer series**: Transition from \( n=3 \) to \( n=2 \).
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