Equilibrium constants $K_1$ and $K_2$ for the following equilibria : <br> $NO(g)+\frac{1}{2}O_2 {\stackrel{k_1}{\rightleftharpoons}} NO_2(g)$ <br> and $2NO_2 (g) {\stackrel{k_2}{\rightleftharpoons}} 2NO (g) + O_2 (g) $ <br> are related as -

Question

( A ) $K_2=\frac{1}{K^2_1}$
( B ) $K_2=\frac{K_1}{2}$
( C ) $K_2=\frac{1}{K_1}$
( D ) $K_2={K_1^2}$