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Uttarakhand PMT Uttarakhand PMT Solved Paper-2006

  • question_answer
    A raft 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 \[{{d}_{raft}}=600kg/{{m}^{3}}\]:

    A)  80 kg           

    B)  50 kg

    C)  60 kg           

    D)  30 kg

    Correct Answer: A

    Solution :

     Volume of raft is given by \[V=\frac{m}{d}=\frac{120}{600}=0.2{{m}^{3}}\] If the raft is immersed fully in water. Then weight of water displaced is \[=V{{d}_{water}}\] \[=0.2\times {{10}^{3}}=200\,kg\] Hence, the additional weight which is supported by raft \[=200\text{ }kg-120\text{ }kg=80\text{ }kg\]


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