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A body of density rho floats with volume...

A body of density `rho` floats with volume `V_(1)` of its total volume `V` immersed in a liquid of density `rho_(1)` and with the remainder of volume `V_(2)` immersed in another liquid of density `rho_(2)` where `rho_(1)gtrho_(2)`. Find the volume immersed in two liquids. (`V_(1)` and `V_(2)`).

A

`V_(1)=v((rho-rho_(2))/(rho_(1)-rho_(2)))V_(2)=v((rho_(1)-rho)/(rho_(1)-rho_(2)))`

B

`V_(1)=v((rho_(1)-rho_(2))/(rho_(1)-rho))V_(2)=v((rho_(1)-rho)/(rho_(1)-rho_(2)))`

C

`V_(1)=v((rho-rho_(2))/(rho_(1)-rho))V_(2)=v((rho_(1)-rho)/(rho_(1)-rho_(2)))`

D

`V_(1)=v((rho-rho_(2))/(rho_(1)-rho))V_(2)=v((rho-rho_(2))/(rho-rho_(1)))`

Text Solution

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The correct Answer is:
A
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