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Q.

A body floats with one-third of its volume outside water and 34 of its volume outside another liquid. The density of another liquid is:

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a

94g/cc

b

49g/cc

c

83g/cc

d

38g/cc

answer is C.

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Detailed Solution

Suppose volume and density of the body be V and ρ respectively The, according to law of floatation in water.Weight = upthrust     in water   Vρg = 23Vρwg-------(1)In liquid, Vρg = 14VρLg-----(2)From (1) and (2),    23Vρwg = 14VρLgor ρLρw = 2314 = 83or ρL = 83ρw = 83×1 g/cc
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A body floats with one-third of its volume outside water and 34 of its volume outside another liquid. The density of another liquid is: