NEET Sample Paper NEET Sample Test Paper-11

  • question_answer
    A log of wood of mass 120 kg floats in water, The weight that can be put on the raft to make it just sink should be (density of wood\[600\text{ }kg/{{m}^{3}}\] )

    A)  80 kg                           

    B)  5 0kg

    C)  60 kg                           

    D)  30 kg

    Correct Answer: A

    Solution :

    Volume of log of word \[V=\frac{mass}{density}=\frac{120}{600}=0.2\,{{m}^{3}}\] Let\[x\]be the w Let\[x\]be the weight that can be put on the log of wood. So weight of the body\[=(120+x)\times 10\,N\] Weight of displaced liquid\[=V\sigma g=0.2\times {{10}^{3}}\times 10N\] The body will just sink in liquid if the weight of the body will be equal to the weight of displaced liquid. \[\therefore \]\[(120+x)\times 10-0.2\times {{10}^{3}}\times 10\] \[\Rightarrow \]\[120+x=100\]\[\therefore \]\[x=80\,kg\]


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