Drops of liquid of density d are floating half immersed in a liquid of density p. If the surface tension of liquid is T, then radius of the drop will be
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a
3Tg(2d−ρ)
b
3Tg(d−ρ)
c
6Tg(2d−ρ)
d
6Tg(d−ρ)
answer is A.
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Detailed Solution
The weight of the drop is equal to the sum of force due to surface tension on drop and force of buoyancy. Thus 43πr3dg=2πrT+12×43πr3ρg or 2r2dg=3T+r2ρg r=3Tg(2d−ρ)