(c) $Ba\left( NO_{3} \right)_{2}$gives$NO_{3}^{-},\ Ba^{2 +}$ ions, hence $Ba^{2 +}$ ion increases. To keep $K_{sp}$ constant, $\lbrack F^{-}\rbrack$ decreases. Thus, it is represented as $\frac{1}{2}\lbrack F^{-}\rbrack$
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