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CMC Medical CMC-Medical Ludhiana Solved Paper-2008

  • question_answer
    The position of the particle moving along Y-axis is given as \[y=A{{t}^{2}}-B{{t}^{3}},\] where y is measured in metre and t in second. Then the dimensions of B is

    A)  \[[L{{T}^{-2}}]\]              

    B)  \[[L{{T}^{-1}}]\]

    C)  \[[L{{T}^{-3}}]\]              

    D)  \[[ML{{T}^{-2}}]\]

    Correct Answer: C

    Solution :

    \[y=B\,[{{T}^{3}}]\] \[\Rightarrow \]               \[[L]=B\,[{{T}^{3}}]\] \[\therefore \]  \[B=[L{{T}^{-3}}]\]


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