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

  • question_answer
    According to Joule's law of heating, heat produced \[H={{I}^{2}}\]Rt, where I is current, R is resistance and t is time. If the errors in the measurement of I, R and t are 3%, 4% and 6% respectively then error in the measurement of H is   

    A)            \[\pm \]17%                             

    B)            \[\pm \]16%

    C)            \[\pm \]19%                             

    D)            \[\pm \]25%

    Correct Answer: B

    Solution :

               \[H={{I}^{2}}R\,t\] \[\therefore \,\,\,\frac{\Delta H}{H}\times 100=\left( \frac{2\Delta I}{I}+\frac{\Delta R}{R}+\frac{\Delta t}{t} \right)\times 100\] \[=(2\times 3+4+6)%\] \[=16%\]


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