Electric Field

Two non-conducting solid spheres of radii and , having uniform volume charge densities and respectively, touch each other. The net electric field at a distance from the centre of the smaller sphere, along the line joining the centre of the spheres, is zero. The ratio can be

An infinitely long thin non-conducting wire is parallel to the -axis and carries a uniform line charge density . It pierces a thin non-conducting spherical shell of radius in such a way that the arc subtends an angle at the centre of the spherical shell, as shown in the figure. The permittivity of free space is . Which of the following statements is (are) true?