AIEEE 2012 Solved Paper

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 ρ. 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 ‌

qρ

3ε0

Statement- 2 : The electric field at a distance r(r<R) from the center of the sphere is ‌

ρr

3ε0

.