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Q.

A Spherical drop of liquid splits into 216 identical spherical drops. If Ui is the surface energy of the original drop and Uf is the total surface energy of the resulting drops, the ratio (ignoring evaporation) UfUi=

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answer is 6.

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Detailed Solution

Surface tension =T
R: Radius of bigger drop 
R: Radius of smaller drop
Volume will remain same
43πR3=216×43πr3⇒R=6rμi=T.4πR2μf=T.4πr2×216μfμi=216r2R2=6

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