Step 1: Understanding the relation.
The relation \( \frac{R}{C_V} = 0.4 \) suggests that the gas behaves like a diatomic gas with rigid molecules. For a monoatomic gas, the ratio \( \frac{R}{C_V} \) would be different, and polyatomic or non-rigid diatomic gases would also show different values for this ratio.
Step 2: Conclusion.
Thus, the correct answer is (B) rigid diatomic.