Figure shows a soap film formed between two square figures made of a uniform wire. The bigger square is held while keeping it in a horizontal plane and the smaller square is slowly allowed to drop vertically. It reaches an equilibrium state after dropping a height $h.$  Let surface tension of soap = $T.$Mass per unit length of wire = $\lambda .$  Acceleration due to gravity =  $g.$ Given that $h=\frac{n\lambda ga}{\sqrt{T^2-\frac{{\lambda }^2{g}^2}{4}}};$  find the value  $n.$