Physics

Problem

A drop of liquid of radius

R = 10^{-2} \text{ m}

having surface tension

S = \frac{0.1}{4\pi} \text{ Nm}^{-1}

divides itself into

K

identical drops. In this process the total change in the surface energy

\Delta U = 10^{-3} \text{ J}

. If

K = 10^\alpha

then the value of

\alpha