Oxidation of $2-$methyl propane-$1, 2$-diol with periodic acid gives :-

Ethyl acetate $\underset{ \mathrm{Excess}}{\overset{{\mathrm{CH}}_3\mathrm{MgBr}}{\to }}\stackrel{{\mathrm{H}}_3{\mathrm{O}}^{+}}{⟶}\mathrm{P}$

The product $\mathrm{P}$ will be :-

In a set of the given reactions, acetic acid yielded a product $\mathrm{C}$.

${\mathrm{CH}}_3\mathrm{COOH}\stackrel{{\mathrm{PCI}}_5}{⟶}\mathrm{A}\underset{{\mathrm{AICl}}_3}{\overset{{\mathrm{C}}_6{\mathrm{H}}_6}{\to }}\mathrm{B}\underset{\mathrm{ether}}{\overset{{\mathrm{C}}_2{\mathrm{H}}_5\mathrm{MgBr}/{\mathrm{H}}_3{\mathrm{O}}^{\oplus }}{\to }}\mathrm{C}$ product $\mathrm{C}$ would be:-

; Product is:

Which carbocation is more likely to be formed in the dehydration of