The current voltage relation of diode is given by \( I=\left(e^{1000 \mathrm{~V} / T}-1\right) \...

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The current voltage relation of diode is given by \( I=\left(e^{1000 \mathrm{~V} / T}-1\right) \mathrm{mA} \), where the applied voltage \( V \) is in volts and the temperature \( T \) is in degree Kelvin. If a student makes an error measuring \( \pm 0.01 \mathrm{~V} \) while measuring the current of \( 5 \mathrm{~mA} \) at \( 300 \mathrm{~K} \), what will be the error in the value of current in \( m A \)
[JEE (Mains) 2014]
(a) \( 0.2 \mathrm{~mA} \)
(b) \( 0.02 \mathrm{~mA} \)
(c) \( 0.5 \mathrm{~mA} \)
(d) \( 0.05 \mathrm{~mA} \)
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