Question 261: Properties of Matter

Question

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, then $$E_1: E_2$$ is $$x: 1$$ where $$x=$$ ________.

Accepted Answer

$$\begin{aligned}
& ho\left({ }_3^4 \pi r^3ight) 1000={ }_3^4 \pi R^3 ho \
& R=10 r \
& E_1=1000 	imes 4 \pi r^2 	imes S \
& E_2=4 \pi(10 r)^2 S \
& \frac{E_1}{E_2}=\frac{10}{1}, x=10
\end{aligned}$$

Properties of Matter

A big drop is formed by coalescing 1000 small identical drops of water. If $E_1 be the total surface energy of 1000 small drops of water and E_2 be the surface energy of single big drop of water, then E_1: E_2 is x: 1 where x=$ ________.

Integer / Numeric Answer Type