' n ' small drops of same size fall through air with constant velocity 5 ~cm / s . They coalesce to form a big drop. The terminal velocity of the big drop is

Step-by-step solution

aligned & Volume = 4 3 r^3 n= 4 3 R^3 & R = n ^ 1 / 3 r R r = n ^ 1 3 aligned Terminal velocity, v r ^2 aligned & v ₂ v ₁ = ( r ₂ r ₁ )^2= ( R r )^2= n ^ 2 / 3 & v ₂= n ^ 2 / 3 v ₁=5 n ^ 2 / 3 ~m / s aligned