The equilibrium constant $(K_C)$ for the reaction $N_2(g) + O_2(g) \to 2NO (g)$ at temperature T is $4 \times 10^{-4}$. The value of $K_C$ for the reaction, $NO(g) \to 1/2 N_2 (g) + 1/2 O_2 (g)$ at the same temperature is :

Question

( A ) $0.02$
( B ) $2.5 \times 10^2$
( C ) $4 \times 10^{-4}$
( D ) $50.0$