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2. Electric Potential and Capacitance
normal
A neutral spherical copper particle has a radius of $10 \,nm \left(1 \,nm =10^{-9} \,m \right)$. It gets charged by applying the voltage slowly adding one electron at a time. Then, the graph of the total charge on the particle versus the applied voltage would look like
A

B

C

D

(KVPY-2019)
Solution

$(a)$ From $V=\frac{k q}{r}$,
$q=\frac{V \cdot r}{k}=C \cdot V$
As, $q=n e$, hence graph of quersus $V$ is a step function.
Standard 12
Physics