A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is $$V_0$$. A hole with a small area $$\alpha 4 \pi R^2 (\alpha \ll 1)$$ is made on the shell without affecting the rest of the shell. Which one of the following statements is correct?

The potential at the center of the shell is reduced by $$2 \alpha V_0$$

The magnitude ofelectric field at the center of the shell is reduced by $$\frac{\alpha V_0}{2R}$$

The ratio of the potential at the center of the shell to that of the point at $$\frac{1}{2}R$$ from center towards the hole will be $$\frac{1 - \alpha}{1 - 2 \alpha}$$

The magnitude of electric field at a point, located on a line passing through the hole and shell’s center, on a distance 2R from the center of the spherical shell will be reduced by $$\frac{\alpha V_0}{2R}$$