A spherical liquid drop of radius R is divided into eight equal droplets. If the surface tension is T , then the work done in this process will be

· Let r be the radius of each of the eight bubbles.

· We know that the volume remains the same, we have

43R3=843r3r=R2

· As a result, the work done in this process will be = change in surface energy.

· (84r2T)-(4R2T)

· Putting the value of r=R2, (84R22T)-(4R2T)

· 8R2T-4R2T=4R2T

· Hence the correct option is ( C ) 4R2T