Question

More doubts:

Answer 1

1. I read that if a liquid of radius R is split into n smaller droplets,all of same size and Surface tension T then radius of each droplets is

r=R(n)^-1/3

How do we get that?

Answer 2

@Mashy

Answer 3

well..
lets take one example

if you have a drop of radius 5cm, and its splits into two smaller drops.. of equal radii, and surface tension.. what do you think is the radius of each drop?

Answer 4

R/4?

Answer 5

how did you get that?

Answer 6

4r=R
R=r/4

Answer 7

4r = R ?
how did you ge tthat? :P

Answer 8

oh wait ...

Answer 9

think of how would you solve the problem
when the drop splits.. what quantity becomes half?

Answer 10

Area?

Answer 11

nope.. area totally depends on the shape.. by changing shape i can change area.. easily!

Answer 12

Ah final Volume :D

Answer 13

lolz.
exactly.. regardless of what you do.. if a drop occupies certain volume.. you split it.. or do whatever, its the volume that gets split accordingly

so now what shoudl be the radius in my problem?

Answer 14

R 2^(-1/3)

Answer 15

did you directly use your formula.. or used volume consideration to arrive at that? :P

Answer 16

Just solve:

\(V = nv\) i.e.

\(\dfrac{4}{3}\pi R^3=n\times \dfrac{4}{3}\pi r^3\)

Answer 17

@Mashy I didnt use the formula. I got the answer by equating Volume as vince showed above. Thanks for the help :)