Step 1: Recall that any flow measuring flume, including the H-flume, obtains its stage discharge relationship, that is its rating table, by calibrating the structure either in a laboratory or in the field.
Step 2: This means statement (E) is self contradictory, it cannot use rating tables while also claiming no calibration is needed, since the rating table itself is a product of calibration. So (E) is false.
Step 3: The remaining statements (A) through (D) describe well documented, factual properties of H-flumes: high capacity and accuracy, compatibility with automatic silt samplers, the specific discharge range of about 0.009 to 0.85 cumec, and the HS or HL naming convention for modified sizes. All four hold true.
Step 4: Removing only the false statement (E) leaves (A), (B), (C) and (D).
\[\boxed{(A),\ (B),\ (C)\ \text{and}\ (D)\ \text{only}}\]