Diagram B shows that the dipoles are distributed inside the sphere which is not true. Also, this option is incorrect as due to polarization, the positive and the negative charges should be at the surface.
Diagram C shows that the positive and the negative charges are uniformly distributed over the surface and the dipoles are inside the sphere. This diagram is incorrect as due to polarization; no dipole should be inside the sphere.
Diagram D shows that negative and positive charges are uniformly distributed over the surface of the spheres. This option is incorrect as the electric field points to the left, then the negative charges should be left of that sphere.
Diagram E shows that the dipoles are distributed inside the sphere which is not true. This option is incorrect as due to polarization, the positive and the negative charges should be at the surface.
The diagram F shows that the positive and the negative charges are uniformly distributed over the surface and the dipoles are inside the sphere after one another. This diagram is incorrect as due to polarization; no dipole should be inside the sphere.
Diagram A shows that the positive and the negative charges are uniformly distributed over the surface of the sphere. This option is correct as ofthe sea of the electrons mainly shifts in the opposite direction of the electric field and the electric field points to the left of the sphere, so the negative charges will be at the left and the positive charges will be at the right of the sphere.
Thus, diagram A correctly displays the polarization of a metal sphere.