Mechanical Properties Of Fluids Question 8
Question 8 - 2024 (30 Jan Shift 2)
A big drop is formed by coalescing 1000 small identical drops of water. If $E _1$ be the total surface energy of 1000 small drops of water and $E _2$ be the surface energy of single big drop of water, the $E _1: E _2$ is $x: 1$ where $x=$
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Answer: (10)
Solution:
$\rho\left({ } _3^{4} \pi r^{3}\right) 1000={ } _3^{4} \pi R^{3} \rho$
$R=10 r$
$E _1=1000 \times 4 \pi r^{2} \times S$
$E _2=4 \pi(10 r)^{2} S$
$\frac{E _1}{E _2}=\frac{10}{1}, x=10$
