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(C) The energy of an electron at an infinite distance from the nucleus is defined as $0$. As the electron approaches the nucleus,it becomes bound to t

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Decreases to a smaller negative value

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(C) The energy of an electron at an infinite distance from the nucleus is defined as $0$. As the electron approaches the nucleus,it becomes bound to the nucleus,and the system releases energy,resulting in a negative potential energy. The energy of an electron in a hydrogen-like atom is given by $E_n = -\frac{13.6 \ Z^2}{n^2} \ eV$. As the distance from the nucleus decreases (i.e.,$n$ decreases),the value of $E_n$ becomes more negative (i.e.,it decreases). Therefore,the energy decreases to a greater negative value.

As an electron is brought from an infinite distance close to the nucleus of the atom,the energy of the electron-nucleus system :

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