9th Class Science Gravitation and Floatation Question Bank Gravitation and Pressure

  • question_answer
    Equal masses of water and a liquid of relative density \[2\] are mixed together/then what is the density of the mixture (in\[g\,\,c{{m}^{-3}}\])?

    A) \[2/3\]               

    B)        \[4/3\]  

    C) \[3/2\]               

    D)        \[3\]

    Correct Answer: B

    Solution :

    \[\text{R}\text{.D}\text{.=}\frac{\text{Density}\,\,\text{of}\,\,\text{liquid}}{\text{Density}\,\,\text{of}\,\,\text{water}}\text{=2}\] \[\Rightarrow \]Density of liquid\[=2\,\,g\,\,c{{m}^{-3}}\] Density of mixture\[(D)\] \[\text{=}\frac{\text{Total}\,\,\text{mass}}{\text{Total}\,\,\text{volume}}\text{=}\frac{\text{2m}}{{{\text{V}}_{\text{1}}}\text{+}{{\text{V}}_{\text{2}}}}\] \[\frac{m}{{{V}_{1}}}=2\,\,g\,\,c{{m}^{-3}},\,\,\frac{m}{{{V}_{2}}}=1\,\,g\,\,c{{m}^{-3}}\] \[D=\frac{2}{\frac{1}{2}+1};\,\,D=\frac{4}{3}g\,\,c{{m}^{-3}}\]


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