Is it true that magnitude of the buoyant force exerted by a liquid becomes twice if its volume is doubled?

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True

False

answer is B.

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Detailed Solution

The above statement is false.
Upthrust exerted by a liquid is given by

\Rightarrow F = Vρg

Where

V

is the volume of liquid and

ρ

is the density of the liquid.
As the magnitude of buoyancy force depends on the density of the liquid and its volume, the force varies linearly. Therefore if the volume is doubled, it will decrease the density to half, and hence there will be no effect on the magnitude of buoyancy force.
The correct statement would be that there will be no effect on the magnitude of the buoyancy force.

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