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Physics

A body of volume V and density ρ is kept completely immersed in a liquid of density ρL . If g is the acceleration due to gravity, write expressions for the following —

(i) The weight of the body,

(ii) The upthrust on the body,

(iii) The apparent weight of the body in liquid,

(iv) The loss in weight of the body.

Fluids Upthrust

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Answer

Given,

volume = V

density = ρ

density of liquid = ρL

acceleration due to gravity = g

(i) The weight of the body, acting downwards = V ρ g

(ii) The upthrust on the body, acting upwards = V ρL g

(iii) The apparent weight of the body in liquid = V(ρ - ρL)g

(iv) The loss in weight of the body = V ρL g

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