Question
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
BITSAT
Physics
Mechanical Properties of Fluids
2021
BITSAT 2021
BITSAT Physics Question (2021) — Solution
Options
- A. 2 R ^ 2 ~T
- B. 3 R^ 2 T
- C. 4 R^ 2 T
- D. 2 RT ^ 2
Answer
C. 4 R^ 2 T
Step-by-step solution
Volume of 8 small droplets = Volume of 1 big drop 4 3 r^ 3 8= 4 3 R ^ 3 r= R (8)^ 1 / 3 Work done =( Change in area ) surface tension = (4 r^ 2 n-4 R ^ 2 ) T \ 4 ( R ^ 2 (8)^ 2 / 3 ) 8-4 R ^ 2 \ T =4 R ^ 2 ~T
Related: Physics — Mechanical Properties of Fluids · All PYQ Banks