Step 1: Understanding the Concept:
Historical evolution and construction timeline of major colonial and early post-independence canal irrigation engineering works in India.
Step 2: Detailed Explanation:
Tracing the commissioning and construction chronology:
1. E. Ken Canal (Bundelkhand, UP/MP): Commissioned in 1906 (Earliest project in the list).
2. A. Sarda Canal (United Provinces UP): Commenced in 1920 and opened in 1928.
3. D. Kharung Canal (Chhattisgarh): Constructed during 1931.
4. B. Damodar Canal (Bengal): Constructed in 1938.
5. C. Pawara (Pravara) Canal system: Advanced phases completed subsequent to these systems.
The chronological sequence from earliest to most recent is E $\rightarrow$ A $\rightarrow$ D $\rightarrow$ B $\rightarrow$ C.
Step 3: Final Answer:
Therefore, the correct chronological sequence is E $\rightarrow$ A $\rightarrow$ D $\rightarrow$ B $\rightarrow$ C, corresponding to option (A).