Question 251: Properties of Matter

Question

A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is $$\frac{10}{x}$$. The value of $$x$$ is ________.

Accepted Answer

$$R_{	ext {big }}=10 R_{	ext {small }}$$
$$ \Rightarrow {{{E_{1000}}} \over {{E_{big}}}} = {{1000 	imes T 	imes 4\pi {{\left[ {{{{R_{big}}} \over {10}}} ight]}^2}} \over {T 	imes 4\pi R_{big}^2}} = {{10} \over 1}$$

Properties of Matter

A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is $\frac{10}{x}. The value of x$ is ________.

Integer / Numeric Answer Type