There is a long, uniformly charged, non-conducting solid cylinder.

Options

A. The magnitude of electric field intensity at any point inside the cylinder is directly proportional to the length of perpendicular drawn from a point on the axis of cylinder.
B. The magnitude of electric field intensity at any point outside the cylinder is inversely proportional to the length of perpendicular drawn from a point on the axis of cylinder.
C. Electric field intensity in not defined for the points on the axis of cylinder
D. Electric field intensity is zero for the points on the axis of cylinder

Answer

A, B, D

Explanation

If r < R `rArr E=(rhor)/(2epsilon_0)`…(i)
If r > R `rArr E=(rhoR^2)/(2epsilon_0r)`….(ii)
Using the above two expressions of electric field intensity for this given non-conducting solid cylinder, we can see that options (a), (b) and (d) are correct. Option (c) is not correct because we have defined the zero value at the centre of cylinder for the electrie field intensity.