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Q. 27 mercury drops coalesce to form one mercury drop, the energy changes by a factor of

Mechanical Properties of Fluids

Solution:

$R = n ^{1 / 3} r $
$\Rightarrow R =3 r$
$\frac{\text { Energy of big drop }}{\text { Energy of small drop }}=\frac{ T \times 4 \pi R ^{2}}{ T \times 4 \pi r ^{2}}$
$\frac{R^{2}}{r^{2}}=\frac{(3 r)^{2}}{r^{2}}=9$