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Reem Hunain from International Indian School, asked a question
Subject: Science , asked on 26/1/12

If an object is immersed wholly in a liquid causing upthrust equal to weight of body then what will be the relation between the relative densities of liquid and object ??? PLz help the earliest !

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akshaygahlot14... From St Puals Sr Sec School, added an answer, on 16/2/13
26 helpful votes in Science

As upthrust is equal to

V (of object)  * Density of liquid * g

and weight og body = mass * g

                                    = density of object * V of object * g   (m = d * v)

Hence,

 V (of object)  * Density of liquid * g   =  density of object * V of object * g

So,   Density of liquid  =  density of object

as their densities are equal so their their relative densities are also equal (becoz  RD = density of object/ density of water)

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