JEE Main 2012 — Electrostatics Question with Solution

This question has statement- $$1$$ and statement- $$2.$$ Of the four choices given after the statements, choose the one that best describe the two statements.
An insulating solid sphere of radius $$R$$ has a uniformly positive charge density $$\rho$$. As a result of this uniform charge distribution there is a finite value of electric potential at the center of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinite is zero.

Statement- $$1:$$ When a charge $$q$$ is take from the centre of the surface of the sphere its potential energy changes by $$\frac{q\rho }{3{\epsilon }_0}$$
Statement- $$2:$$ The electric field at a distance $$r\left(r<R\right)$$ from the center of the sphere is $$\frac{\rho r}{3{\epsilon }_0}.$$