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Statement $I$: $\mathrm{S}_8$ solid undergoes disproportionation reaction under alkaline conditions to form $\mathrm{S}^{2-}$ and $\mathrm{S}_2 \mathrm{O}_3{ }^{2-}$
Statement $II$: $\mathrm{ClO}_4^{-}$can undergodisproportionation reaction under acidic condition. In the light of the above statements, choose the most appropriate answer from the options given below :
[Given: The threshold frequency of platinum is $1.3$ $\times 10^{15} \,s ^{-1}$ and $h =6.6 \times 10^{-34} \,J \,s$.]