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Question

Arrange them in the order of increasing ionic radii.
N3+, O2-, F-, Na+, Mg2+, and Al3+

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Solution

I think in your question the nitrogen is in -3 state.Only then the given ions become iso-electronic species.

The ionic radii of isoelectronic species increases with a decrease in the magnitudes of nuclear charge.
The arrangement of the given species in order of their increasing nuclear charge is as follows:
N3– < O2– < F– < Na+ < Mg2+ < Al3+
Nuclear charge = +7 +8 +9 +11 +12 +13
Therefore, the arrangement of the given species in order of their increasing ionic radii is as follows:
Al3+ < Mg2+ < Na+ < F– < O2– < N3–

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