Step 1: Understanding the Concept
The respiratory quotient (RQ) is the volume of \(\text{CO}_2\) released divided by the volume of \(\text{O}_2\) consumed.
Step 2: Apply to Fermentation
In alcoholic fermentation, glucose is converted to ethanol and \(\text{CO}_2\) without any oxygen being used.\nSo \(\text{CO}_2\) is released but \(\text{O}_2\) consumed is zero.
Step 3: Calculation
\(\text{RQ} = \dfrac{2\ \text{volumes of CO}_2}{0\ \text{volume of O}_2}\), which is a division by zero and has no finite value, so it is infinite.
Final Answer:
The RQ of anaerobic oxidation of glucose to ethyl alcohol is infinite.
\[ \boxed{\text{(B) }\text{infinite}} \]