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

Options

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`

Explanation

`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_(2)))`