A wire of length '\(L\)', diameter '\(d\)', density of material '\(ρ\)' is under tension '\(T\)' has fundamental frequency of vibration '\(n_A\)'. Another wire of length '\(2L\)', diameter '\(3d\)', density of material '\(2ρ\)' is vibrated under tension '\(2T\)', the fundamental frequency of vibration becomes '\(n_B\)'. The ratio \(n_B:n_A\) is