Step 1: Understanding the Concept
The level of \(\text{CO}_2\) rises when sources increase or when sinks are lost.
Step 2: Check the options
Burning fossil fuels releases carbon stored for millions of years as \(\text{CO}_2\). Deforestation removes plants that absorb \(\text{CO}_2\) and adds more by burning and decay. Respiration of plants and animals releases \(\text{CO}_2\).
Step 3: Weathering
Chemical weathering of rocks uses up atmospheric \(\text{CO}_2\) and forms dissolved bicarbonate, so it lowers the concentration.
Final Answer:
Weathering of rocks is not a reason for the rise in carbon dioxide.
\[ \boxed{\text{(C) }\text{Weathering of rocks}} \]