Which hydrogen ionic species has wavelength difference between the first line of the balmer and first line of the lyman series equal to `859.3 xx 10^(-9)` m ?Negative the reduced mass effect

Explanation

To solve the problem, we need to find the hydrogen ionic species that has a wavelength difference between the first line of the Balmer series and the first line of the Lyman series equal to \(859.3 \times 10^{-9}\) m. We will neglect the reduced mass effect.

### Step 1: Understand the Series
The Lyman series corresponds to electron transitions from higher energy levels to \(n=1\) (ground state), while the Balmer series corresponds to transitions to \(n=2\).

### Step 2: Calculate the Wavelength for Lyman Series
The first line of the Lyman series corresponds to the transition from \(n=2\) to \(n=1\). Using the Rydberg formula for the wavelength:

...