body P floats in water with half its volume immersed. Another body Q floats in a liquid of density 34th of the density of water with two-third of the volume immersed. The ratio of density of P to that of Q is
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volume = V
density= d
density of water =q = 1000 kg/m3
weight in air = w= Vgd
Buoyant force= (2V/3)qg
density of other liquid =p
volume of body inside water= V- 3V/4= V/4
buoyant force = (V/4)pg
as in both situation the body will float so,
(2V/3)qg = (V/4)pg
p = 8q/ 3
p = 8 x 1000/3
p= 8 /3 x 10³
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