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 {{q\rho } \over {3{\varepsilon _0}}}
Statement- 2: The electric field at a distance r\left( {r < R} \right) from the center of the sphere is {{\rho r} \over {3{\varepsilon _0}}}.