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Question

Q1 where does the solid weigh more in air or in liquid ?

Q2 what is the relationship between boyand force on an object and the liquid displaced by it

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Solution

Dear Student!!

Effective weight of the solid is more in air then the liquid.

Archimedes principle states that when a body is immersed wholly or partially in a liquid, it experiences an upward buoyant force of magnitude equal to the weight of the liquid displaced by it.

Buoyant force = Weight of displaced liquid

Weight of displaced liquid = Mass of the displaced liquid × Acceleration due to gravity

= Density of the liquid × Volume of the displaced liquid × Acceleration due to gravity

∴Volume of the displaced liquid = Volume of the object that is immersed in the liquid

∴Weight of the displaced liquid = Volume of the object immersed in the liquid × Density of the liquid × Acceleration due to gravity

Hence, we can write the magnitude of the upthrust on an object that is immersed in a liquid as Buoyant force = Volume of the object × Density of the liquid × Acceleration due to gravity

Since buoyant force depends on the density of the liquid in which it is immersed, it is different in different liquids for the same object


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