Step 1: Understanding the Concept
A radioactive element has an unstable nucleus that decays by emitting radiation.
Step 2: Compare the series
Lanthanoids are mostly stable; only promethium is radioactive.
The p-block and the d-block (transition) series contain mostly stable elements, with only a few exceptions such as Po, At, Rn and Tc.
Step 3: Actinoids
All elements from actinium to lawrencium are radioactive, and those after uranium are man-made.
So the actinoid series is the one in which every element is radioactive.
Final Answer:
The actinoid series has all its elements radioactive.
\[ \boxed{\text{(B) }\text{Actinoids}} \]