AIIMS AIIMS Solved Paper-2010

  • question_answer
    A cord is used to lower vertically a block of mass M by a distance d with constant downward acceleration \[m=\mu M=\frac{1}{2}\times 44=22g\]. Work done by the cord on the block is

    A)  \[n=\frac{1}{2\pi }\sqrt{\frac{g}{l}}\]                                     

    B)  \[n=\frac{1}{2\pi }\sqrt{\frac{g}{l}}\]     

    C)        \[[M{{L}^{2}}{{T}^{-2}}{{\theta }^{-1}}]\]            

    D)        \[Mgd\]

    Correct Answer: C

    Solution :

    When the block moves vertically downward with acceleration \[\sqrt{\frac{2h}{g}}\] then tension in the cord \[\sqrt{\frac{h}{g}}\] Work done by the cord \[\sqrt{3}\] \[\frac{R}{\sqrt{3}}\] \[\sqrt{\frac{3}{2}}R\]


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