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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2002

  • question_answer
    If \[Z=\frac{a{{b}^{2}}}{{{c}^{3}}}\], then what is the error in Z? The errors in a, b, c are\[\alpha \],\[\beta \]and \[\gamma \] respectively

    A)  \[\alpha \] + 2\[\beta \] - 3\[\gamma \]       

    B) \[\alpha \]- 2\[\beta \] + 3\[\gamma \]

    C)  2 \[\alpha \]+ 3\[\beta \] +\[\gamma \]        

    D)  \[\alpha \] + 2\[\beta \]+ 3\[\gamma \]

    Correct Answer: D

    Solution :

     Maximum error in Z \[{{\left| \frac{\Delta Z}{Z} \right|}_{\max }}=\frac{\Delta a}{a}+\frac{2\Delta b}{b}+\frac{3\Delta c}{c}\] \[=\alpha +2\beta +3\gamma \]


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