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

  • question_answer
    Resistance \[R=V/I\], here \[V=(100\pm 5)\text{ }V\]and\[I=(10\pm 0.2)\text{ }A\]. Find percentage error in R.

    A) 5%

    B)  2%  

    C)  7%

    D)  3%

    Correct Answer: C

    Solution :

    [c] \[R=\frac{V}{I}so,\frac{\Delta R}{R}\times 100=\frac{\Delta V}{V}\times 100+\frac{\Delta I}{I}\times 100\] \[\Rightarrow \frac{\Delta R}{R}\times 100=\frac{5}{100}\times 100+\frac{0.2}{10}\times 100=7%\]


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