Correct Answer - 1
Given `m_(A)=2m`
`:." "`mol. `wt. ` of `A=2xxmol." " wt." "` of `B" "….(i)`
Given`" "U_(rms)` of `A=2xxu_(rms)` of `B " " ….(ii)`
Also number of molecules of `A =` number of molecules of `B" "…..(iii)`
For gas `A" "P_(A)V_(A)=(1)/(3)M_(A)u_(rmsA)^(2)`
For gas `B" "P_(B)V_(B)=(1)/(3)M_(B)u_(rmsB)^(2)`
`:. " "(P_(A)V_(A))/(P_(B)V_(B))=(M_(A))/(M_(B))xx(u_(A)^(2))/(u_(B)^(2))" "....(iv)`
Given `" "V_(A)=V_(B)" "....(v)`
`:." "` By equation `(i),(ii),(iv)` and `(v)`
`(P_(A))/(P_(B))=2xx(2)^(2)=8`
`:." "P_(A)=8P_(B)`
Ans. 16