A drop of liquid of density ρ is floating half-immersed in a liquid of density d. If σ is the surface tension, the diameter of the drop of the liquid is
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a
σg(2ρ−d)
b
2σg(2ρ−d)
c
6σg(2ρ−d)
d
12σg(2ρ−d)
answer is D.
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Detailed Solution
2πrσ+12×43πr3dg=43πr3ρgor 2πrσ=πr3g3[4ρ−2d] or r2=3×2πσπg(4ρ−2d)or r2=3σg(2ρ−d) or r=3σg(2ρ−d) Diameter =2r=12σg(2ρ−d)
A drop of liquid of density ρ is floating half-immersed in a liquid of density d. If σ is the surface tension, the diameter of the drop of the liquid is