K1, K2 and K3 are the equilibrium constants of the following reactions (I), (II) and (III) respectively:(I) N2+2O2⇌2NO2 (II) 2NO2⇌N2+2O2 (III) NO2⇌12N2+O2The correct relation from the following is

(I) $N_{2} + 2 O_{2} \overset{K_{1}}{⇌} 2 {NO}_{2}$

$K_{1} = \frac{{[{NO}_{2}]}^{2}}{[N_{2}] {[O_{2}]}^{2}} . . . . (i)$

(II) $2 {NO}_{2} \overset{K_{2}}{⇌} N_{2} + 2 O_{2}$

$K_{2} = \frac{[N_{2}] {[O_{2}]}^{2}}{{[{NO}_{2}]}^{2}} . . . (ii)$

(III) ${NO}_{2} \underset{K_{3}}{⇌} \frac{1}{2} N_{2} + O_{2}$

$K_{3} = \frac{{[N_{2}]}^{1 / 2} [O_{2}]}{[{NO}_{2}]}$

$∴ {(K_{3})}^{2} = \frac{[N_{2}] {[O_{2}]}^{2}}{{[{NO}_{2}]}^{2}}$

$∴$ from equation (i), (ii) and (iii)

$K_{1} = \frac{1}{K_{2}} = \frac{1}{{(K_{3})}^{2}}$

K₁, K₂and K₃ are the equilibrium constants of the following reactions (I), (II) and (III) respectively: $(I) N_{2} + 2 O_{2} ⇌ 2 {NO}_{2} (II) 2 {NO}_{2} ⇌ N_{2} + 2 O_{2} (III) {NO}_{2} ⇌ \frac{1}{2} N_{2} + O_{2}$
The correct relation from the following is