BITSAT2021PhysicsMechanical Properties of FluidsActual
A spherical drop of radius R is divided into eight equal droplets. If surface tension is T , then the work done in this process is
Options
- A2 R ² ~T
- B3 R² T
- C4 R² T
- D2 RT ²
Correct answer
C. 4 R² T
Step-by-step solution
Volume of 8 small droplets = Volume of 1 big drop 4 3 r³ 8= 4 3 R ³ r= R (8)^ 1 / 3 Work done =( Change in area ) surface tension = (4 r² n-4 R ² ) T 4 ( R ² (8)^ 2 / 3 ) 8-4 R ² T =4 R ² ~T