Given below are two statements: Statement I : Energy of stationary state of an electron is (E_n=R_H ( -1 n^2 ) ). Statement II : When the electron present in ( n ^ th ) orbit is attracted by nucleus then its energy is less compare to when it is present at infinite distance. In the light of the above statements, choose the most appropriate answer from the options given below:

Step-by-step solution

- Statement I: The energy of a stationary state of an electron in a hydrogen-like atom is given by the formula (E_n=- R_H n^2 ), where (R_H ) is the Rydberg constant and (n ) is the principal quantum number. This is correct, as it describes the quantized energy levels of an electron in a hydrogen atom. - Statement II: When an electron is closer to the nucleus (in the (n )-th orbit), its energy is lower compared to when it is at an infinite distance (where the potential energy becomes zero and the total energy is hi