The energy of the electron in any given state for the hydrogen atom is \( -13.6/n^2 \, \text{eV} \). Identify the correct statements among the following.
(A) The negative sign in \( -13.6 \, \text{eV} \) signifies that the electron is bound to the nucleus.
(B) The negative sign in \( -13.6 \, \text{eV} \) signifies that the electron requires 13.6 eV energy to be separated from the nucleus.
(C) 3.4 eV energy is required to take the electron from the ground to the first excited state.
(D) To find the energy of the third excited state, the value of n is 4.
Choose the correct answer from the options given below:

1. A (A), (B) and (D) only
2. B (A), (B) and (C) only
3. C (B), (C) and (D) only
4. D (A), (B), (C) and (D)