A charge is spread non-uniformly on the surface of a hollow sphere of radius $R$, such that the charge density is given by $\sigma=\sigma_0(1-\sin \theta)$, where $\theta$ is the usual polar angle. The potential at the centre of the sphere is
A charge is spread non-uniformly on the surface of a hollow sphere of radius $R$, such that the charge density is given by $\sigma=\sigma_0(1-\sin \theta)$, where $\theta$ is the usual polar angle. The potential at the centre of the sphere is
- [KVPY 2009]
- A
$\frac{Q}{2 \pi \varepsilon_0 R}$
- B
$\frac{Q}{\pi \varepsilon_0 R}$
- C
$\frac{Q}{8 \pi \varepsilon_0 R}$
- D
$\frac{Q}{4 \pi \varepsilon_0 R}$
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