Question:

The specific speed of a pump is defined as the speed at which a geometrically similar pump would operate to deliver:

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Specific speed aids in classifying pumps and predicting their performance.
  • Unit discharge at unit head
  • Maximum efficiency
  • Zero discharge at maximum head
  • Infinite discharge at zero head
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The Correct Option is A

Approach Solution - 1

Specific speed (Ns) is a dimensionless parameter that helps in the selection and comparison of pumps. It is defined as the speed at which a geometrically similar pump would operate to deliver a unit discharge (1 m³/s) against a unit head (1 m). It is given by: \[ Ns = N \sqrt{Q} / H^{3/4} \] where N is the rotational speed, Q is the discharge, and H is the head.
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Approach Solution -2

Definition Recall: Specific speed is defined by a fixed reference condition, worth memorizing directly rather than deriving.

It's the speed a geometrically similar pump would need to deliver ONE unit of discharge against ONE unit of head — i.e. unit discharge at unit head, matching option 1.

Maximum efficiency, zero discharge at max head, and infinite discharge at zero head are all pump performance-curve concepts, but none of them is the actual definition of specific speed.
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