Solve this: 47 If T is the surface tension of a fluid, then the energy needed to break a - Physics - Magnetism And Matter

Question

Solve this:
47 If T is the surface tension of a fluid, then the energy needed
to break a liquid drop of radius R into 64 equal drops is
(a) 6nR2T (b) nR2T
(c) 12nR2T (d) 8nR2T

Shobhit Mittal · Accepted Answer

Dear Student,radius of the small frop is rsince the volume remain same
43πR3=64
43πr3R=4rsurface energy of the larger drop E=T4πR2surface energy of the small dropsE'=64*T4πr2=64*T4πR216=4T4πR2energy requires to create the 64 small drops=E'-E=16πR2T-4πR2T=12πR2TRegards

Solve this: 47. If T is the surface tension of a fluid, then the energy needed to break a liquid drop of radius R into 64 equal drops is (a) 6nR2T (b) nR2T (c) 12nR2T (d) 8nR2T

Solve this:
47. If T is the surface tension of a fluid, then the energy needed to break a liquid drop of radius R into 64 equal drops is
(a) 6nR²T (b) nR²T
(c) 12nR²T (d) 8nR²T