$NO_{(g)} + \frac{1}{2}{O_2} \rightleftharpoons N{O_2}_{(g)}$
$2N{O_2}_{(g)} \rightleftharpoons 2NO_{(g)} + {O_2}_{(g)}$
$ \Rightarrow $ $\frac{{{{[N{O_2}]}^2}}}{{{{[NO]}^2}[{O_2}]}} = \frac{1}{{{K_2}}}$
$ \Rightarrow $ $\frac{{[N{O_2}]}}{{[NO]\;{{[{O_2}]}^{1/2}}}} = \frac{1}{{\sqrt {{K_2}} }}$
$ \Rightarrow $ ${K_1} = \frac{1}{{\sqrt {{K_2}} }}$; ${K_2} = \frac{1}{{K_1^2}}$
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The observed pattern of electrophilic substitution can be explained by
$(A)$ the steric effect of the halogen
$(B)$ the steric effect of the tert-butyl group
$(C)$ the electronic effect of the phenolic group
$(D)$ the electronic effect of the tert-butyl group
