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Q. A neutral spherical copper particle has a radius of $10\, nm \,(1\, nm = 10^{-9}\,m)$. 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

KVPYKVPY 2019

Solution:

from $V =\frac{kq}{r},$
$q=\frac{V . r}{k}=C.V$
As, $q = ne$, hence graph of $q$ versus $V$ is a step function.
image