JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Self Evaluation Test - Physical World, Units and Measurements

  • question_answer
    In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows \[P=\frac{{{a}^{3}}{{b}^{2}}}{cd}%\] error in P is

    A) 10%

    B)  7%  

    C)  4%

    D)  14%

    Correct Answer: D

    Solution :

    [d] \[P=\frac{{{a}^{3}}{{b}^{2}}}{cd},\frac{\Delta P}{P}\times 100%=3\frac{\Delta a}{a}\times 100%\] \[+2\frac{\Delta b}{b}\times 100%+\frac{\Delta c}{c}\times 100%+\frac{\Delta d}{d}\times 100%\] \[=3\times 1%+2\times 2%+3%+4%=14%\]


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