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Q.

A body floats in water with 40% of its volume outside water. When the same body floats in an oil,60% of its volume remains outside oil. The relative density of oil is

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a

0.9

b

1

c

1.2

d

1.5

answer is D.

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Detailed Solution

Using the law of buoyancy, we get Vσg = 0.6 Vσ1g, for the part of body inside water andVσg = 0.4 Vσ2g,   for the part of body inside oil, hence we get0.6Vσ1g=0.4Vσ2g⇒ 1=0.6σ10.4σ2So, we get σ2σ1=64=32=1.5
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