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

  • question_answer
    A physical quantity A is related to four observable quantities a, b, c and d as follows, \[A=\frac{{{a}^{2}}{{b}^{3}}}{c\sqrt{d}}\] and the percentage errors of measurement in a, b, c and d are 1%, 3%, 2% and 2% respectively What is the percentage error in the quantity A?

    A) 12%

    B)  7%  

    C)  5%

    D)  14%

    Correct Answer: D

    Solution :

    [d] Percentage error in A \[=\left( 2\times 1+3\times 3+1\times 2+\frac{1}{2}\times 2 \right)%=14%\]


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