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CMC Medical CMC-Medical VELLORE Solved Paper-2015

  • question_answer
    If the voltage and current are given by \[V=(50\pm 4)V\] and \[I=(20\pm 0.4)\text{ }A,\] respectively, the percentage error in the resistance of conductor is

    A)  7 %                                       

    B)  10 %

    C)  20 %                                     

    D)  5 %

    E)  9 %

    Correct Answer: A

    Solution :

                    Given,   \[V=\left( 50\pm 4 \right)V\] \[I=\left( 20\pm 0.4 \right)\,A\] Now, from Ohms law, \[V=IR\] \[\therefore \]  \[R=\frac{V}{I}\] Maximum percentage error in resistance i.e., \[\frac{\Delta R}{R}\times 100=\left( \frac{\Delta V}{V}\times 100 \right)+\left( \frac{\Delta I}{I}\times 100 \right)\] \[=\frac{4}{50}\times 100+\frac{0.4}{20}\times 100\] \[=8+2=10%\]


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