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CMC Medical CMC-Medical Ludhiana Solved Paper-2008

  • question_answer
    A body floats with one-third of its volume outside water and 3/4 of its volume outside another liquid. The density of the other liquid is

    A)  \[\frac{9}{4}g\text{/}cc\]                            

    B)  \[\frac{4}{0}g\text{/}cc\]

    C)  \[\frac{8}{3}g\text{/}cc\]                            

    D)  \[\frac{3}{8}g\text{/}cc\]

    Correct Answer: C

    Solution :

                    Let V be volume of the body. In water weight of body = weight of water displaced \[=\frac{2}{3}V\times 1\times g\] In another liquid, weight of body \[=\frac{1}{4}V\times \rho \times g\] \[\therefore \]  \[\frac{2}{3}Vg=\frac{1}{4}V\rho g\] or            \[\rho =\frac{8}{3}g\text{/}cc\]


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