1.

A spherical body of density rho is floating half immersed in liquid of density d, if alpha is the surface tension of the liquid, then the diameter of the body is

Answer»

`sqrt((3alpha)/(g(2rho-d)))`
`sqrt((6sigma)/(g(2rho-d)))`
`sqrt((4sigma)/(g(2p-d)))`
`sqrt((12 sigma)/(g(2rho-d)))`

Solution :
WEIGHT of body
= BOUYANT force + Force of suface TENSION
`(4)/(3)pi r^3 rho xx g = 2/3 pi r^3 DG + 2 pi r delta `
`2/3 pi r^3 g (2 rho -d)=2 pi alpha`
`So, r^2= (3 alpha)/(g(rho2p-d)`
So, `r = sqrt(3 alpha)/(g(2rho -d))`


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