Step 1: Understand the process.
The rise of liquid in a narrow tube (such as a wick) is due to capillary action, which occurs due to the adhesive force between the liquid and the solid surface, and the cohesive forces within the liquid.
Step 2: Conclusion.
Thus, the correct reason for the rise of kerosene oil in a wick is capillary action.
Final Answer:
\[
\boxed{\text{capillary action}}
\]