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Identify the metal halide from the following that has the highest ionic character? ($M =$ metal atom)

Magnesium cation $(Mg^{2+})$ has a polarising power close to that of:

The correct order of increasing ionic character is:

The correct order of polarizability for the given halide ions is:

How would you explain the following observations?
$(i)$ $BeO$ is almost insoluble but $BeSO_4$ is soluble in water.
$(ii)$ $BaO$ is soluble but $BaSO_4$ is insoluble in water.
$(iii)$ $LiI$ is more soluble than $KI$ in ethanol.

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