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BHU PMT BHU PMT (Mains) Solved Paper-2011

  • question_answer
    A physical quantity x is represented by\[x={{M}^{a}}{{L}^{b}}{{T}^{-c}}\]and the maximum percentage error in measurement M, L and T are \[\alpha ,\beta \] and \[\gamma \]respectively,  then  the  total  maximum percentage error in\[x\]is

    A) \[(\alpha a+\beta b-\gamma c)%\]         

    B)  \[(\alpha a+\beta b+\gamma c)%\]

    C)  \[(\alpha a-\beta b-\gamma c)%\]         

    D)  None of these

    Correct Answer: B

    Solution :

                     \[x={{M}^{a}}{{L}^{b}}{{T}^{-c}}\] \[\frac{\Delta x}{x}\times 100=\left( a\frac{\Delta M}{M}+b\frac{\Delta L}{L}+c\frac{\Delta T}{T} \right)\times 100%\]


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