Equimolar mixture of two gases `A_(2)` and `B_(2)` is taken in a rigid vessel at temperature 300 K. The gases reacts according to given equations :
`A_(2)(g)hArr2 A (g)` `K_(P1)=?`
`B_(2)(g)hArr2 B (g)` `K_(P2)=?`
`A_(2)(g)+B_(2)(g)hArr2 AB (g)` `K_(P3)=2`
If the initial pressure in the container was 2 atm and final pressure developed at equilibrium is 2.75 atm. in which equilibrium partial pressure of gas AB was 0.5 atm, calculate the ratio of `(K_(P2))/(K_(P1))`
[Given : Degree of dissociation of `B_(2)` is greater than `A_(2)`].

Options

A. 8
B. 9
C. `1//8`
D. None of these