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Questions  

A small spherical droplet of density d is floating exactly half immersed in a liquid of density ρ and surface tension  T. The radius of the  droplet is (take note that the surface tension applies an upward force on the droplet)

a
r=2T3d+ρg
b
r=Td+ρg
c
r=Td−ρg
d
r=3T2d−ρg

detailed solution

Correct option is D

Weight is balanced by Buoyancy force &surface tension forces ⇒mg=FB+FST⇒mg=Vimρg+T×2πR          ​⇒Vdg=V2ρg+T×2πR​⇒Vd−ρ2g=T×2πR   ​⇒43πR32d−ρ2g=T×2πR    ​⇒R=3T2d−ρg

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