First the question gives no units or that these are covalent radii or what, so I assume they are in nanometers and assume an atomic radius. I check my periodic table app and it says a 92pm atomic radius, 75pm covalent and 155pm van der waal for the N atom, which happens to be the first option I crossed out. Now what? BTW, this question is from a previous national aptitude test.
closed as off-topic by Mithoron, A.K., Todd Minehardt, user55119, Jon Custer Oct 24 '18 at 23:24
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "Homework questions must demonstrate some effort to understand the underlying concepts. For help asking a good homework question, see: How do I ask homework questions on Chemistry Stack Exchange?" – Mithoron, A.K., Todd Minehardt, user55119, Jon Custer
Effectively, the question is giving the radii in some sort of reduced units, where it's expressing the size of each species relative to the size of something else.
Thus one can interpret the choices in this question as providing relative sizes. So, for instance, choice "A" says the ion is 2.60/.77 = 3.38 times the size of the neutral atom, and so on.
Given your knowledge of the actual sizes of the ion and the neutral atom, you should now be able to choose the best answer.