Consider a nucleus that undergoes decay. (a) Is the radius of the resulting daughter nucleus greater

Question:

Consider a nucleus that undergoes β decay.
(a) Is the radius of the resulting daughter nucleus greater than, less than, or the same as that of the original nucleus?
(b) Choose the best explanation from among the following:
I. Capturing a β particle will cause the radius of a nucleus to increase. Therefore, the daughter nucleus has the greater radius.
II. The original nucleus emits a β particle, and anytime a particle is emitted from a nucleus the result is a smaller radius. Therefore, the radius of the daughter nucleus is less than the radius of the original nucleus.
III. When a nucleus emits a β particle a neutron is converted to a proton, but the number of nucleons is unchanged. As a result, the radius of the daughter nucleus is the same as that of the original nucleus.