Find the ratio of wavelengths of first line of Lyman series and second line of Balmer series

Explanation

To find the ratio of wavelengths of the first line of the Lyman series and the second line of the Balmer series, we will follow these steps:

### Step 1: Identify the transitions for the Lyman and Balmer series
- For the **first line of the Lyman series**, the electron transitions from the second energy level (n=2) to the first energy level (n=1).
- For the **second line of the Balmer series**, the electron transitions from the fourth energy level (n=4) to the second energy level (n=2).

### Step 2: Use the formula for wavelength in hydrogen spectrum
The formula to find the wavelength (λ) of the emitted light during these transitions is given by:
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