Identify product '$$\mathrm{B}$$' in following reaction.

Cumene $$\xrightarrow[\Delta]{\mathrm{KMnO}_4, \mathrm{KOH}} \mathrm{A} \xrightarrow{\mathrm{H}_3 \mathrm{O}+} \mathrm{B}$$

Which of the following is NOT a correct mathematical equation for Ostwald dilution law?

How many Faraday of electricity is required to deposit $$0.8 \mathrm{~g}$$ of calcium at cathode by the electrolysis of $$\mathrm{CaCl}_2$$ ?

(Molar mass of $$\mathrm{Ca}=40 \mathrm{~g} \mathrm{~mol}^{-1}$$)

Identify lowest positive charge developed (indicated by $$\partial, \partial_1, \partial_2, \partial_3$$) due to inductive effect in following compounds.

$$\mathrm{C{H_3} - \mathop {C{H_2}}\limits^{{\delta _3}} \to \mathop {C{H_2}}\limits^{{\delta _2}} \to \mathop {C{H_2}}\limits^{{\delta _1}} \to \mathop {Cl}\limits^{{\delta _{}}}}$$