How much work is done in moving a charge $+q$ once around a circle of radius $r$ in the presence of a central charge $+Q$?

  • A
    $F \times r$
  • B
    $F \times 2\pi r$
  • C
    $\frac{F}{2\pi r}$
  • D
    $0$

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Column $II$ corresponds to the graph of magnitude of electric field versus distance from the centre of the charge distribution in Column $I$. Match the items in Column $I$ with the corresponding graphs in Column $II$.
Column-$I$ Column-$II$
$(A)$ Ring along its axis $(P)$ Graph with a peak at a distance $r > 0$
$(B)$ Uniformly charged solid sphere $(Q)$ Graph increasing linearly for $r < R$ and decreasing as $1/r^2$ for $r > R$
$(C)$ Uniformly charged spherical shell $(R)$ Graph with zero field for $r < R$ and decreasing as $1/r^2$ for $r > R$
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