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The current voltage relation of diode is given by $I= (e^{1000 V/T } -1)mA$, where the applied voltage V is in volts and the temperature $T$ is in degree kelvin. If a students makes an error measuring $\pm 0.01\;V$ while measuring the current of $5\;mA$ at $300\;K$, what will be error in the value of current in $mA?$

$\begin{array}{1 1}(A)\;0.5\;mA\\ (B)\;0.05\;mA \\(C)\;0.2\;mA \\(D)\;0.02\;mA \end{array} $

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