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Q.

A vessel contains an immiscible mixture of water and a liquid of density 0.8 gm/cc. A cube of side 10 cm is placed in the mixture and it is observed that the water-liquid interface is at the middle of cube height.Mass of the cube is:

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a

680 gm

b

420 gm

c

225 gm

d

900 gm

answer is D.

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Detailed Solution

Volume of cube $= {(10)}^{3} = 1000 {cm}^{3}$
In floating condition
$W = V ρ g = {(V_{in})}_{1} ρ_{oil} g + {(V_{in})}_{2} ρ_{wter} g m = 500 \times 0.8 + 500 \times 1 = 900 gm$

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A vessel contains an immiscible mixture of water and a liquid of density 0.8 gm/cc. A cube of side 10 cm is placed in the mixture and it is observed that the water-liquid interface is at the middle of cube height.Mass of the cube is: