Properties Of Solids And Liquids Question 304

Question: Three liquids of densities $ d,2d $ and $ 3d $ are mixed in equal proportions of weights. The relative density of the mixture is

Options:

A)$ \frac{11d}{7} $

B)$ \frac{18d}{11} $

C)$ \frac{13d}{9} $

D)$ \frac{23d}{18} $

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Answer:

Correct Answer: B

Solution:

$ {\rho _{mix}} $ = $ \frac{3m}{V _{1}+V _{2}+V _{3}}=\frac{3m}{\frac{m}{d}+\frac{m}{2d}+\frac{m}{3d}} $ = $ \frac{3\times 6}{11}d=\frac{18}{11}d $



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