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Question

A body of 500 kg/m3 floats in a liquid. It has been noticed that liquid also floats in water ( ρwater=1000 kg/m3). what could be the density of the liquid?

A
ρliquid=400 kg/m3
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B
ρliquid=800 kg/m3
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C
ρliquid=900 kg/m3
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D
ρliquid=1100 kg/m3
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Solution

The correct options are
B ρliquid=800 kg/m3
C ρliquid=900 kg/m3
Given:
Density of body =500 kg/m3
Density of water =1000 kg/m3
We know that, A body or the liquid having lesser density floats in liquid which is having a comparatively higher density.

The body floats in liquid, so ρliquid can not be lesser than 500 kg/m3. Liquid floats in water so ρliquid cannot be greater than 1000 kg/m3.
Hence,
500 kg/m3 < ρliquid >1000 kg/m3

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