A charge Q is distributed over two concentric conducting thin spherical shells radii r and R   R >…

1. $\frac{1}{4{\mathrm{\pi ϵ}}_0}\frac{\left(\mathrm{R}+\mathrm{r}\right)}{2\left({\mathrm{R}}^2+{\mathrm{r}}^2\right)}\mathrm{Q}$
2. $\frac{1}{4{\mathrm{\pi ϵ}}_0}\frac{\left(2\mathrm{R}+\mathrm{r}\right)}{\left({\mathrm{R}}^2+{\mathrm{r}}^2\right)}\mathrm{Q}$
3. $\frac{1}{4{\mathrm{\pi ϵ}}_0}\frac{\left(\mathrm{R}+2\mathrm{r}\right)\mathrm{Q}}{2\left({\mathrm{R}}^2+{\mathrm{r}}^2\right)}$
4. $\frac{1}{4{\mathrm{\pi ϵ}}_0}\frac{(\mathrm{R}+\mathrm{r})}{\left({\mathrm{R}}^2+{\mathrm{r}}^2\right)}\mathrm{Q}$

Solution

Asked in: JEE Main 2020 (02 Sep Shift 2)

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