RAJASTHAN PMT Rajasthan - 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 : \[({{d}_{raft}}=600\,kg/{{m}^{3}})\]

    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 can be put on the raft                 \[=200\,\,kg-120\,\,kg\]                 \[=80\,\,kg\]


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