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A body of density d and volume V floats ...

A body of density `d` and volume `V` floats with volumes `V` of its total volume `V` immersed in a liquid of density `d` and the rest of the volume `V_(2)` immersed in another liquid of density `d_(2)(ltd_(1))`. The volume `V_(1)` immersed in liquid of density `d_(1)` is

A

`((d-d_(2))/(d_(1)-d_(2)))V`

B

`((d+d_(2))/(d_(1)+d_(2)))V`

C

`((d_(1)-d_(2))/(d_(1)))V`

D

`(d_(1))/(d_(2))V`

Text Solution

Verified by Experts

The correct Answer is:
A
`Vdg=V_(1)d_(1)g+V_(2)d_(2)g" ………….(1) also, "V=V_(1)+V_(2)`
`Vd_(2)g=V_(1)d_(2)g+V_(2)d_(2)g" …………(2)"`
`eq (1)- eq(2) Vg(d-d_(2))=V_(1)g(d_(1)-d_(2))`
`V_(1)=V((d-d_(2))/(d_(1)-d_(1)))`
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