Step 1: {Isoelectronic Species}
The ions \( {N}^{3-} \), \( {O}^{2-} \), and \( {F}^- \) are isoelectronic, possessing an identical electron count. Each ion contains 10 electrons. Variations in nuclear charge, stemming from differing atomic numbers (N: Z=7, O: Z=8, F: Z=9), cause differences in their ionic radii. Nuclear charge increases from N to O to F across the periodic table.
Step 2: {Ionic Radii Order}
An elevated nuclear charge exerts a stronger attraction on electrons, leading to a diminished ionic radius. Consequently, ionic radii decrease sequentially from \( {N}^{3-} \) to \( {O}^{2-} \) to \( {F}^- \). The resulting order of ionic radii is: \[ {N}^{3-}>{O}^{2-}>{F}^- \] Thus, option (A) is correct.
A particle is moving in a straight line. The variation of position $ x $ as a function of time $ t $ is given as:
$ x = t^3 - 6t^2 + 20t + 15 $.
The velocity of the body when its acceleration becomes zero is: