Question

Two solids A and B of density
${2.5} \: gcm^{ - 3}$
and
${ 0.80} \: gcm^{ - 3}$
are placed in a liquid L of density
${1.2} \: gcm^{ - 3}$
Which solid is likely to float and why?

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Answer 1

GiveN :-

• Two solids A and B have a density of 2.5 g/cm³ and 0.80 g/cm³ .
• They are placed in a liquid of density 1.2 g/cm³ .

To FinD :-

• Which solid is likely to float and why .

SolutioN :-

Let us say we have a solid of density a and it is placed in a liquid of density b . If we place it in that liquid then there are three possibilities .

$\to\underline\red{\sf Case - 1 }$

When the density of solid is greater than the density of liquid , that is a > b . Then in such case the solid will sink in water .

$\rule{200}1$

$\to\underline\red{\sf Case - 2 }$

When the density of solid is equal to the density of the liquid . That is a = b . Then in such case the solid will float in the liquid while being submerged in the liquid .

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$\to\underline\red{\sf Case - 3 }$

When the density of solid is less than the density of liquid , that is a < b . Then in such case the solid will float in water .

Here of the two solids A and B we see that the density of Solid A is greater than the density of liquid . So it will sink in water .

$\boxed{\pink{\textsf{ The Solid A will \textbf{sink} in the liquid .}}}$

Again , we see that the density of Solid B is less than the density of liquid . Therefore it will float in the liquid .

$\boxed{\pink{\textsf{ The Solid B will \textbf{float} in the liquid .}}}$

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F I G U R E :-

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