Three liquids of densities d,2d and 3d are mixed in equal proportions of weights. What is the relative density of the mixture, if d is the density of water?
A
117
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B
1811
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C
139
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D
2318
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Solution
The correct option is B1811 The three liquids of densities d,2d & 3d are mixed in equal proportions of weights. Let m be the mass of each liquid. ∴ρmixture=3mV1+V2+V3=3mmd+m2d+m3d ⇒ρmixture=3×611d=1811d ⇒ρmixtured=1811
As, d is density of water, so, relative density of mixture =1811.