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NEET Sample Paper NEET Sample Test Paper-86

  • question_answer
    A physical quantity P is described by the relation \[P={{a}^{1/2}}{{b}^{2}}{{c}^{3}}{{d}^{-4}}.\] If the relative errors in the measurement of a, b, c and d respectively, are 2%, 1%, 3% and 5%, then the relative error in P will be

    A) 8%                               

    B) 12%

    C) 32%                 

    D)        25%

    Correct Answer: C

    Solution :

    [c] Given, \[P={{a}^{1/2}}{{b}^{2}}{{c}^{3}}{{d}^{-4}}\] Maximum relative error, \[\frac{\Delta P}{P}=\frac{1}{2}\frac{\Delta a}{a}+2\frac{\Delta b}{b}+3\frac{\Delta c}{c}+4\frac{\Delta d}{d}\] \[=\frac{1}{2}\times 2+2\times 1+3\times 3+4\times 5=32%\]


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