(a)
`f_(A) = 2 . (v_(A))/(2L), f_(B) = 3 . (v_(B))/(4L)`
`f_(A) = f_(B)`
`2 . (v_(A))/(2L) = 3 . (v_(B))/(4L)`
`sqrt((gamma _(A) RT)/(M_(A))) = (3)/(4) sqrt((gamma_(B) RT)/(M_(B)))`
`sqrt((M_(A))/(M_(B))) = (4)/(3) sqrt((gamma _(A))/(gamma _(B)))`
`(M_(A))/(M_(B)) = (16)/(9) .(gamma_(A))/(gamma_(B)) = (16)/(9) . (5//3)/(7//5) = (16)/(9) . (25)/(21) = (400)/(189)`
(b)
`(f_(A))/(f_(B)) = (v_(A)//2L)/(v_(B)//2L) = (v_(A))/(v_(B)) = (3)/(4)`