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NEET Physics Mathematical Tools, Units & Dimensions Question Bank Errors of Measurement

  • question_answer
     A physical quantity A is related to four observable \[a,b,c\] and d as follows, \[A=\frac{{{a}^{2}}{{b}^{3}}}{c\sqrt{d}}\], 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   [Kerala PET 2005]

    A)          12%

    B)                              7%

    C)          5%

    D)          14%

    Correct Answer: D

    Solution :

               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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