Definition and unit of discharge:\n“The quantity of liquid flowing per second through a cross-section is called discharge and is measured in m^3/s (cumecs).” State whether this statement is correct.

Introduction / Context:
Discharge (or volumetric flow rate) is the most common measure of flow quantity in hydraulics and many process industries. It directly connects to continuity, pump selection, and measurement with devices like orifices, weirs, and flowmeters.

Given Data / Assumptions:

• Steady or unsteady flow through a defined cross-section.
• Volumetric measure emphasized.
• SI units in use.

Concept / Approach:
By definition, discharge Q is volume per unit time crossing an area: Q = dV/dt. In SI, the unit is cubic meters per second (m^3/s), colloquially “cumec.” The concept applies to liquids and gases; the definition does not depend on regime (laminar/turbulent) or compressibility (though density variation matters for mass flow rate).

Step-by-Step Solution:

Verification / Alternative check:
Other common units include L/s and m^3/h; conversions preserve the meaning. Mass flow rate is ṁ = ρ Q, distinct from Q but related.

Why Other Options Are Wrong:

• False: Conflicts with standard definition and SI unit.
• Only true for gases / laminar: Discharge definition is universal.

Common Pitfalls:
Mixing volumetric and mass flow rates; calling m^3/h “cumecs” (the term “cumec” specifically implies per second).

Final Answer:
True