(Solved): The figure shows, in cross section, a central metal ball, two spherical metal shells, and three sph ...

The figure shows, in cross section, a central metal ball, two spherical metal shells, and three spherical Gaussian surfaces of radii \( R \), \( 2 R \). and \( 3 R \), all with the same center. The uniform charges on the three objects are: ball, Q; smaller shell, 3Q; larger shell, 5Q. Rank the Gaussian surfaces according to the magnitude of the electric field at any point on the surface, greatest first. \[ \begin{array}{l} E(3 R)>E(2 R)>E(R) \\ E(R)>E(2 R)>E(3 R) \\ E(R)=E(2 R)=E(3 R) \end{array} \]