Correct answer is (A) The maximum potential gained by the sphere will be independent of its radius
The maximum potential gained by the sphere will be independent of its radius. The net positive charge appearing on the sphere after a long time will depend on the radius of the sphere.
The kinetic energy of the most energetic electrons emanating from the sphere will keep on declining with time. The kinetic energy of the most energetic electrons emanating from the sphere initially will be independent of the radius of the sphere.