Final answer:
The most likely atomic radius of element Yy is 127 pm, as atomic radii increase down a group on the periodic table and Yy falls between Xx (141 pm) and Zz (171 pm) in size.
Step-by-step explanation:
The question is asking to determine the most likely atomic radius of element Yy which belongs to the same group on the periodic table as elements Xx and Zz.
When looking at the periodic table, we observe that atomic radii tend to increase as we move down a group. This trend is due to the additional electron shells that are added, increasing the distance from the nucleus to the outer electron shell.
Using the provided atomic radii for elements Xx and Zz, given as 141 pm and 171 pm, respectively, we can infer that Yy should have an atomic radius that falls between these values. Therefore, the most likely atomic radius of element Yy from the options given would be (b) 127 pm.