Eight identical small drops of water are falling down vertically through a medium, each with terminal velocity v . If they combine to form a single drop, then its terminal velocity will be

Step-by-step solution

Let R , and r be the radii of the big and small drops respectively. The volume of the big drop =8 volume of one small drops aligned & 4 2 R^3=8 4 3 r^3 & R^3=(2 r)^3 R=2 r aligned The terminal velocity of a drop v ( radius )^2 aligned & V v = R^2 r^2 = (2 r)^2 r^3 =4 & V=4 v aligned