MHT CET202415 May 2024Morning ShiftPhysicsMechanical Properties of FluidsActual
When a mercury drop of radius ' R ' splits up into 1000 droplets of radius ' r ', the change in surface energy is ( T= surface tension of mercury)
Options
- A8 R ^2 ~T
- B16 R ^2 ~T
- C34 R ^2 ~T
- D36 R^2 T
Correct answer
D. 36 R^2 T
Step-by-step solution
As volume remains constant, R ^3=1000 r ^3 n ^ =10 r or r = R 10 Change in surface area aligned & = (1000 4 r^2 )-4 R^2 & =4 (1000 R^2 100 -R^2 )=36 R^2 aligned Surface energy, T A=36 R^2 T