Physics

The correct relation for upthrust on a solid of volume V immersed in a liquid of density ρ is : 1. F<sub>B</sub> = 2. F<sub>g</sub> = 3. F<sub>B</sub> = Vρg 4. F<sub>g</sub> =

Fluids Upthrust

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Answer

FB = Vρg

Reason —

Prove that the loss in weight of a body when immersed wholly or partially in a liquid is equal to the buoyant force (or upthrust) and this loss is because of the difference in pressure exerted by liquid on the upper and lower surfaces of the submerged part of the body. Upthrust in Fluids, Archimedes Principle and Floatation, Concise Physics Solutions ICSE Class 9.

Resultant upward thrust on the body

FB = F2 – F2

= h2ρgA - h2ρgA

= A(h2 - h1)ρg

But, A(h2 - h1) = V, the volume of the body submerged in the liquid.

∴ Upthrust FB = Vρg

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