Electrons of energy `12.09 eV` can excite hydrogen atoms . To which orbit is the electron in the hydrogen atom raisd and what are the wavelengths of the radiations emitted as it dropes back to the ground state?

Explanation

To solve the problem, we need to determine the orbit to which the electron in a hydrogen atom is raised when it absorbs an energy of 12.09 eV, and then calculate the wavelengths of the emitted radiations as the electron drops back to the ground state.

### Step 1: Determine the final energy level
The energy levels of a hydrogen atom are given by the formula:
\[ E_n = -\frac{13.6 \text{ eV}}{n^2} \]
where \( n \) is the principal quantum number (the energy level).

1. For \( n = 1 \):
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