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AMU Medical AMU Solved Paper-2007

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

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

    B)  \[\left[ \text{L}{{\text{T}}^{-\text{1}}} \right]\]

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

    D)  \[\left[ \text{ML}{{\text{T}}^{-\text{2}}} \right]\]

    Correct Answer: C

    Solution :

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


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