Isomerism occurs when compounds have the same molecular formula but different structural arrangements. Among the given options:
- \( \text{C}_2\text{H}_4 \): Ethene, a simple alkene with no possibility of isomerism.
- \( \text{C}_2\text{H}_6 \): Ethane, a simple alkane with no possibility of isomerism.
- \( \text{C}_2\text{H}_8 \): Not a valid hydrocarbon formula (violates the general formula \( \text{C}_n\text{H}_{2n+2} \)).
- \( \text{C}_4\text{H}_{10} \): Butane, which can exhibit structural isomerism (e.g., n-butane and isobutane).
Final Answer: The compound that can show isomerism is \( \mathbf{\text{C}_4\text{H}_{10}} \), which corresponds to option \( \mathbf{(4)} \).