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  $\alpha 4\pi R^2(\alpha <<1)$ is made on the shell without affecting the rest of the shell. Which one of the following statements is correct ?

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

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

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