B

Step 1: Understand the characteristics of uniform circular motion.
In uniform circular motion, a particle moves along a circular path with a constant speed.

Step 2: Identify the types of velocities involved.
In circular motion, the particle has a tangential velocity that is constant in magnitude but changes direction continuously. The radial (or centripetal) acceleration is directed towards the center of the circular path, causing the change in direction of the velocity vector.

Step 3: Analyze the options provided:
- Option A: Radial velocity and radial acceleration - Incorrect. There is no radial velocity.
- Option B: Tangential velocity and radial acceleration - Correct. This matches the description of uniform circular motion.
- Option C: Tangential velocity and tangential acceleration - Incorrect. In uniform circular motion, tangential acceleration is zero as speed is constant.
- Option D: Radial velocity and tangential acceleration - Incorrect. Same reason as A regarding radial velocity.

Conclusion:
The correct answer is Option B: Tangential velocity and radial acceleration.