2. Solved Papers
  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    A physical quantity A is related to four observables 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?

    A)  12%                                      

    B)  7%

    C)  5%                        

    D)         16%

    E)  14%

    Correct Answer: E

    Solution :

    % error in \[A=\left( 2\frac{\Delta a}{a}+3\frac{\Delta b}{b}+\frac{\Delta c}{c}+\frac{1}{2}\frac{\Delta d}{d} \right)\times 100%\] \[=2\times 1+3\times 3+2+\frac{1}{2}\times 2\] \[=2+9+2+1\] \[=14%\]


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