question_answer

A point charge q is located at a distance 'r' from the centre O of an uncharged conducting spherical layer whose inside and outside radii are equal to \[{{R}_{1}}\] and \[{{R}_{2}}\] respectively. It is given that \[r<{{R}_{1}}\] Assuming zero potential at infinity, the potential at O is

A) Zero                   

B)        \[\frac{q}{4\pi {{\varepsilon }_{0}}}\left[ \frac{1}{r}-\frac{1}{{{R}_{1}}}+\frac{1}{{{R}_{2}}} \right]\]

C) \[\frac{q}{4\pi {{\varepsilon }_{0}}}\left[ \frac{1}{r}-\frac{1}{{{R}_{1}}} \right]\]

D) None of these