MHT CET2009PhysicsMechanical Properties of Fluids
The change in energy when a big dropis split in sma | n droplets is
Options
- A4 R² (n^ 2 / 3 -1 ) I
- B4 R² (n^ 1 / 3 -1 ) T
- C4 R² (n^ -1 / 3 -1 ) T
- D4 R² [n^ -2 / 3 -1 ] T
Correct answer
B. 4 R² (n^ 1 / 3 -1 ) T
Step-by-step solution
When a drop of radius R split into n smaller drops (each of radius r ), then surface area of liquid increases. Hence, the work is to be done against surface tension. Since, the volume of liquid remains constant array l 4 3 R³=n 4 3 r³ R³=n r³ Work done =T A =T [n 4 r²-4 R² ] =4 R² T (n^ 1 / 3 -1 ) array