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Question

Is the buoyant force equal in all liquids? Why and how?

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Solution

Buoyant force=upthrust=net upward force on any body in a fluid(gas or liquid) equal to the weight of fluid it displaces in order to sink/float.

Weight of fluid(w)=mg

m=d/v

w=dg/v

d is density

Let us compare weights of two fluids for equal volume

W1/W2=d1/d2

We can clearly see ratio of weight is ratio of density because g is constant.

g is acceleration due to gravity

Buoyant force depends on weight of fluid which depends on mass which depends on density.

Mass of same volume of different fluids depends on the density of fluid. Greater the density, greater will be the mass. So denser fluids have greater upthrust for same volume displaced in comparison to less denser fluids


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