A 12.3 eV electron beam is used to bombard gaseous hydrogen at room temperature. Upto which energy level the hydrogen atoms would be excited? Calculate the wavelengths of the second member of Lyman series and second member of Balmer series.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Determine the maximum energy level that can be excited by the electron beam.

The energy of the incoming electron beam is given as 12.3 eV. In hydrogen, the energy levels are given by the formula:

\[
E_n = -\frac{13.6 \, \text{eV}}{n^2}
...