JCECE Engineering JCECE Engineering Solved Paper-2012

  • question_answer
    The three physical quantities \[x,\,\,\,y\] and \[z\] have units \[g\,\,c{{m}^{2}},\,\,g\,\,{{s}^{-1}}\] and \[cm{{s}^{-2}}\] respectively. The relation between \[x,\,\,\,y\] and \[z\] is

    A) \[x=y{{z}^{2}}\]               

    B) \[x={{y}^{2}}z\]

    C)  \[{{y}^{2}}=xz\]                              

    D)  \[z={{x}^{2}}y\]

    Correct Answer: A

    Solution :

    Given,\[x=g\,\,c{{m}^{2}}{{s}^{-5}}=[M{{L}^{2}}{{T}^{-5}}]\]                 \[y=g\,\,{{s}^{-1}}=[M{{L}^{0}}{{T}^{-1}}]\] and        \[z=cm{{s}^{-2}}=[{{M}^{0}}L{{T}^{-2}}]\] Now,     \[{{z}^{2}}=[{{M}^{0}}{{L}^{2}}{{T}^{-4}}]\] and        \[y{{z}^{2}}=[M{{L}^{0}}{{T}^{-1}}][{{M}^{0}}{{L}^{2}}{{T}^{-4}}]\]                 \[=[M{{L}^{2}}{{T}^{-5}}]=x\] \[i.e.,\] \[x=y{{z}^{2}}\]


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