The correct answer is: C. zero.
In a free vortex motion, the radial component of velocity everywhere is zero. This is because the velocity of a fluid particle in a free vortex is tangential to the circular path of the particle. The radial component of velocity is perpendicular to the tangential component of velocity, so it must be zero.
Option A is incorrect because the radial component of velocity is not maximum in a free vortex motion. Option B is incorrect because the radial component of velocity is not minimum in a free vortex motion. Option D is incorrect because the radial component of velocity is not non-zero and finite in a free vortex motion.