A charge \( \mathrm{Q} \) is distributed over two concentric conduc...
A charge \( \mathrm{Q} \) is distributed over two concentric conducting thin spherical shells radii \( r \) and \( R(Rr) \). If
P the surface charge densities on the two shells are equal, the electric potential at the common centre is
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[JEE Main-2020 (September)]
(1) \( \frac{1}{4 \pi \varepsilon_{0}} \frac{(\mathrm{R}+\mathrm{r})}{\left(\mathrm{R}^{2}+\mathrm{r}^{2}\right)} \mathrm{Q} \)
(2) \( \frac{1}{4 \pi \varepsilon_{0}} \frac{(\mathrm{R}+2 \mathrm{r}) \mathrm{Q}}{2\left(\mathrm{R}^{2}+\mathrm{r}^{2}\right)} \)
(3) \( \frac{1}{4 \pi \varepsilon_{0}} \frac{(\mathrm{R}+\mathrm{r})}{2\left(\mathrm{R}^{2}+\mathrm{r}^{2}\right)} \mathrm{Q} \)
(4) \( \frac{1}{4 \pi \varepsilon_{0}} \frac{(2 \mathrm{R}+\mathrm{r})}{\left(\mathrm{R}^{2}+\mathrm{r}^{2}\right)} \mathrm{Q} \)
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