A body floats in a liquid A of density -1 with a part of it submerged inside liquid while in liquid B of density -2 totally submerged inside liquid- the densities -1 and -2 are related as-

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Byju's Answer

Standard IX

Physics

Floatation

A body floats...

Question

A body floats in a liquid $A$ of density $ρ_{1}$ with a part of it submerged inside liquid while in liquid $B$ of density $ρ_{2}$ totally submerged inside liquid. the densities $ρ_{1}$ and $ρ_{2}$ are related as:

ρ_{1} = ρ_{2}

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ρ_{1} < ρ_{2}

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ρ_{1} > ρ_{2}

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Solution

The correct option is C $ρ_{1} > ρ_{2}$
According to Archimedes principle. A body floats if the density of the body is less than the density of the fluid.
if the density of body is greater than that of fluid, it will sink.
So, in the above case,
CASE 1: It is partially submerged - density of liquid is greater than body.
CASE 2: It is fully Submerged - density of liquid is less than the body.
So, from above we can conclude that First liquid has a higher density than than the second liquid.

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