A body weight 20n in air and 15n when complete immersed in liquid of density 0.8g/cm3 find upthrust in liquid
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Upthrust acting on the block in water =15N−12N=3N = ( volume of solid immersed )( density of liquid ) g = V (1) 10 where V is the volume of the block , so V=
10
3
=0.3 cm
3
Block weighs 15N in air implies 15=mg , implies m=
10
15
=1.5g
now density =
volume
mass
=
0.3
1.5
= 5 g/cm
3
so density of block = 5 g/cm
3
hence , relative density of the block = density of block / density of water=
1
5
=5
now Upthrust acting on the block in the liquid =15N−13N=2N= (volume of solid immersed ) ( density of liquid ) g=Vρg=0.3( ρ)g ,
implies ρ of the liquid =
3
2
g/cm
3
so relative density of the liquid = density of liquid / density of water =
1
3
2
=
3
2
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