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WB JEE Medical WB JEE Medical Solved Paper-2008

  • question_answer
    The velocity of a particle v at an instant t is given by \[v=at+b{{t}^{2}}\]the dimension of b is

    A)  [L]                                         

    B)  \[[L{{T}^{-1}}]\]

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

    D)  \[[L{{T}^{-3}}]\]

    Correct Answer: D

    Solution :

                     Given that \[v=at+b{{t}^{2}}\] Applying the law of homogeneity \[[v]=[b{{t}^{2}}]\] or \[[L{{T}^{-1}}]=[b{{T}^{2}}]\]or \[[b]=[L{{T}^{-3}}]\]


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