In an atom,an electron of charge (-e) perform | vedclass

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(C) The current $I$ is defined as the rate of flow of charge,given by $I = \frac{q}{T}$,where $q$ is the charge and $T$ is the time period of revoluti

Vedclass · Accepted Answer

$e^{1} v^{1} r^{-1}$

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(C) The current $I$ is defined as the rate of flow of charge,given by $I = \frac{q}{T}$,where $q$ is the charge and $T$ is the time period of revolution.For an electron moving in a circular orbit of radius $r$ with orbital velocity $v$,the distance covered in one revolution is the circumference $2 \pi r$.Thus,the time period $T$ is given by $T = \frac{2 \pi r}{v}$.Substituting this into the expression for current:$I = \frac{e}{T} = \frac{e}{(2 \pi r / v)} = \frac{ev}{2 \pi r}$.Since $2 \pi$ is a constant,we have $I \propto e^{1} v^{1} r^{-1}$.Therefore,the correct option is $C$.

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