A small conducting sphere of radius \( r \) is lying concentrically inside a bigger hollow condu...

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A small conducting sphere of radius \( r \) is lying concentrically inside a bigger hollow conducting sphere of radius \( R \). The bigger and smaller spheres are charged with \( Q \) and \( q \) \( (Qq) \) and are insulated from each other. The potential difference between the spheres will be
[KCET 2008]
(a) \( \frac{1}{4 \pi \varepsilon_{0}}\left(\frac{q}{r}-\frac{Q}{R}\right) \)
(b) \( \frac{1}{4 \pi \varepsilon_{0}}\left(\frac{Q}{R}+\frac{q}{r}\right) \)
(c) \( \frac{1}{4 \pi \varepsilon_{0}}\left(\frac{q}{r}-\frac{q}{R}\right) \)
(d) \( \frac{1}{4 \pi \varepsilon r_{0}}\left(\frac{q}{R}-\frac{Q}{r}\right) \)
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