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When a cube of wood floats in water,60% of its volume is submerged. When the same cube floats in an unknown fluid 85% of its volume is submerged. Find the densities of wood and the unknown fluid.

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Answer Text

Answer :
C
Solution :
Fraction of volume immersed is given by <br> `f=(rho_s)/(rho_l)` <br> In first case `0.6=(rho_s)/(rho_w)=(rho_s)/(1)` <br> or, `rho_(s)=0.6 g//cm^(3)`=density of wood <br> In second case <br> `0.8=(rho_s)/(rho_l)=(0.6)/(rho_e)` <br> or, `rho_(l)=(0.6)/(0.85)` <br> `=0.705 g//cm^(3)`.

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