If $M$ is the element of the actinoid series, the degree of complex formation decrease in the order:

M^{4 +} > M^{3 +} > M O_{2}^{2 +} > M O_{2}^{+}

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M O_{2}^{+} > M O_{2}^{2 +} > M^{3 +} > M^{4 +}

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M^{4 +} > M O_{2}^{2 +} > M^{3 +} > M O_{2}^{+}

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M O_{2}^{2 +} < M O_{2}^{+} < M^{4 +} > M^{3 +}

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Solution

The correct option is B $M^{4 +} > M O_{2}^{2 +} > M^{3 +} > M O_{2}^{+}$
The higher the charge on the metal ion, the smaller is the ionic size and more is the complex formation ability. Thus the degree of complex formation decreases in the order:

$M^{4 +} > M O_{2}^{2 +} > M^{3 +} > M O_{2}^{+}$

The higher tendency of complex formation of $M O_{2}^{2 +}$ as compared of $M^{3 +}$ is due to high concentration of charge on metal atom $M$ in $M O_{2}^{2 +}$ .

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