To determine the mass number of the changed atom, let's analyze each step carefully:
Original Atom Details:
Absorption of an \( \alpha \)-particle:
An \( \alpha \)-particle, which is a helium nucleus, consists of 2 protons and 2 neutrons. Therefore, when an atom absorbs an \( \alpha \)-particle, its mass number increases by 4 (due to the 2 protons and 2 neutrons), and its atomic number increases by 2 (due to the 2 protons).
Emission of a Proton:
When the atom emits a proton, its atomic number decreases by 1 (due to the loss of 1 proton), and its mass number decreases by 1.
Conclusion:
Therefore, the mass number of the changed atom, after absorbing an \( \alpha \)-particle and emitting a proton, is 18.
The correct answer is 18.