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A composite rod whose upper half has a d...

A composite rod whose upper half has a density `(rho)/(4)` and lower half has a density of `(3rho)/(2)` is immersed vertically in a liquid of density `rho`. To what length it shoul be immeresed so that centre of buoyancy coincides with centr of mass of the rod ? suppose the length is `(x l)/(14)` Find `x` .

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