KVPY Sample Paper KVPY Stream-SX Model Paper-31

  • question_answer
    In the formula \[X=3Y{{Z}^{2}}\]  X and Z have dimensions of capacitance and magnetic induction respectively. What are the dimensions of Y in MKSQ system?

    A) \[[{{M}^{-3}}{{L}^{-1}}{{T}^{3}}{{Q}^{4}}]\]    

    B) \[[{{M}^{-3}}{{L}^{-2}}{{T}^{4}}{{Q}^{4}}]\]

    C) \[[{{M}^{-2}}{{L}^{-2}}{{T}^{4}}{{Q}^{4}}]\]    

    D) \[[{{M}^{-3}}{{L}^{-2}}{{T}^{4}}{{Q}^{4}}]\]

    Correct Answer: B

    Solution :

    \[\left[ Y \right]=\left[ \frac{X}{{{Z}^{2}}} \right]=\left[ \frac{capaci\tan ce}{{{\left( magnetic\,induction \right)}^{2}}} \right]\]
    \[\left[ \frac{{{M}^{-1}}{{L}^{-2}}{{Q}^{2}}{{T}^{2}}}{{{M}^{2}}{{Q}^{-2}}{{T}^{-2}}} \right]=\left[ {{M}^{-3}}{{L}^{-2}}{{Q}^{4}}{{T}^{4}} \right]\]


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