Final answer:
The correct order of increasing atomic radius for the elements provided is O, Ge, Mn, which corresponds to option d. This order is derived from the periodic trends that atomic radius decreases across a period and increases down a group.
Step-by-step explanation:
The question asks which set of elements is in the correct order of increasing atomic radius. To determine the correct order, we need to understand the trends in atomic radius across the periodic table. Atomic radius tends to decrease from left to right across a period and increase from top to bottom within a group.
Looking at the options provided, let's locate each element:
- Oxygen (O) is in Period 2, Group 16.
- Germanium (Ge) is in Period 4, Group 14.
- Manganese (Mn) is in Period 4, Group 7.
Since Ge and Mn are in the same period and Ge is to the left of Mn, Ge has a larger atomic radius than Mn. Oxygen, being in a period above both Ge and Mn, has a smaller atomic radius than both. Therefore, the correct order of increasing atomic radius is O, Ge, Mn.
The correct answer to the question is: d. O, Ge, Mn.