A liquid drop of density is floating half immersed in a liquid of surface tension S and density 2 . If the surface tension S of the liquid is numerically equal to 10 times of acceleration due to gravity, then the diameter of the drop is:

Step-by-step solution

A figure given here, shows a liquid drop half immersed in a liquid, where density of drop, _d= , density of liquid, _L= 2 and surface tension, T=10 ~g . Force acting on the drop due to surface tension, where, V= volume of the drop = 4 3 r^3 Since, the ball is in equilibrium. gathered F=w D= 3 4 g D^3 6 D= 80 m [From Eqs. (i) and (ii)] gathered Hence, the correct option is (b).