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NEET Sample Paper NEET Sample Test Paper-27

  • question_answer
    The time dependence of a physical quantity p is given by \[p={{p}_{0}}\exp \,(-\alpha {{t}^{2}})\]where a constant and t is time. The constant \[\alpha \]:

    A)  has no dimension

    B)  has dimension of \[{{T}^{-2}}\]

    C)  has dimension of \[{{T}^{2}}\]

    D)  none of the above

    Correct Answer: B

    Solution :

    We know that the quantity P and \[{{P}_{o}}\] has same dimensions. Also, by theorem of equality the term exp \[(-\alpha {{t}^{2}})\] should be dimensionless. Therefore a has the dimensions of \[{{T}^{-2}}\].


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