First slide

Surface tension

Question

A liquid drop of radius R breaks into 64 tiny drops each of radius r. If the surface tension of liquid is T, then the gain in energy is:

Moderate

A

$48 {πR}^{2} T$
B

$12 {πr}^{2} T$
C

$96 {πR}^{2} T$
D

$192 {πr}^{2} T$

Solution

$∆ E = 4 {πR}^{2} (n^{1 / 3} - 1) R = n^{1 / 3} r = {(64)}^{1 / 3} r = 4 r ∆ E = 192 {πr}^{2} T$

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