First slide

Pressure in a fluid-mechanical properties of fluids

Question

We have two different liquids A and B whose relative densities are 0.75 and 1.0, respectively. If we dip solid objects P and Q having relative densities 0.6 and 0.9 in these liquids, then

Moderate

A

P floats in A and Q sinks in B
B

P sinks in A and Q floats in B
C

P floats in B and Q sinks in A
D

P sinks in B and Q floats in A

Solution

$\begin{array}{l} ρ_{A} = 0 .75, ρ_{P} = 0 .6 \\ ρ_{B} = 1 .0, ρ_{Q} = 0 .9 \end{array}$
As relative density of P is lesser than B, so it will float in liquid B and as relative density of Q is greater than liquid A so it will sink, because if density of the object is greater than that of the liquid in which it is immersed, then its weight is more than the up-thrust and vice versa.

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