The energy required to remove an electron from the inner most orbit of the hydrogen atom to a distance far away from its nucleus is

13.6 eV

The correct answer is Option (2) → 13.6 eV

In a hydrogen atom, the energy of the electron in the nth orbit is given by:

$E_n = -\frac{13.6}{n^2} \text{ eV}$

For the innermost orbit (n = 1):

$E_1 = -\frac{13.6}{1^2} = -13.6 \text{ eV}$

To remove the electron to a point infinitely far (where potential energy becomes zero), the required energy is:

$\Delta E = 0 - (-13.6) = 13.6 \text{ eV}$