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Correct order of ionic radii of the given ions is

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$E r^{3 +} > N d^{3 +} > G d^{3 +}$

${Gd}^{3 +} > {Nd}^{3 +} > {Er}^{3 +}$

$G d^{3 +} > E r^{3 +} > N d^{3 +}$

$N d^{3 +} > G d^{3 +} > E r^{3 +}$

answer is D.

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Detailed Solution

Ions	Ionic radii (pm)
$N d^{3 +}$	99
$G d^{3 +}$	94
$E r^{3 +}$	88

Higher is the effective nuclear charge, smaller will be size of lanthanoids ion.

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