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A block of material has a density rho(1)...

A block of material has a density `rho_(1)` and floats three-fourth submerged in a liquid of unknown density. Show tht the density `rho_(2)` of the unknown liquid is given by `rho_(2)=(4)/(3)rho_(1)`.

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The correct Answer is:
A
Weight =upthrust
`Vrho_(1)g=((3)/(4)v)rho_(2)g`
`:. rho_(2)=(4)/(3)rho_(1)`.
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Knowledge Check

  • A body floats in a liquid A of density rho_(1) with a part of it submerged inside liquid while in liquid B of density rho_(2) totally submerged inside liquid. The densities rho_(1) and rho_(2) are related as :

    A
    `rho_(1)=rho_(2)`
    B
    `rho_(1)ltrho_(2)`
    C
    `rho_(1)gtrho_(2)`
    D
    nothing can be said

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