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