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Question

upthrust of a body in a fluid doesn't depend upon its

(A)weight

(B)volume

(C)density

(D)'g' at that point

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Solution

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
So, this rules out options B, C and D. The only option left is A - Weight of the body


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