If an object is immersed wholly in a liquid causing upthrust equal to the weight of the body, then what will be the relation between the Relative densities of liquid and the object?
Answers
Answered by
1
Upthrust=volume of object X density of liquid x g -----------(1)
weight of object=mx g ---------------(2)
[∵density=mass/volume]
weight=density of object x volume of object xg
Given that upthrust = weight of object (from eq 1 and 2) we get,
volume of object x density of liquid x g=density of object x volume of object x g
on solving we get,
density of liquid=density of object
Relative density=density of object/density of water
As densities of object and water are equal, hence ratio of relative densities will also be equal.[∵ R.D=1]
weight of object=mx g ---------------(2)
[∵density=mass/volume]
weight=density of object x volume of object xg
Given that upthrust = weight of object (from eq 1 and 2) we get,
volume of object x density of liquid x g=density of object x volume of object x g
on solving we get,
density of liquid=density of object
Relative density=density of object/density of water
As densities of object and water are equal, hence ratio of relative densities will also be equal.[∵ R.D=1]
Similar questions