Discussion
The specific speed (Ns) of a pump is:
(When Symbols have their usual meanings)
Answer: C
The specific speed of a pump is \(\frac{N\sqrt{Q}}{H^{3/4}}\).
A pump's specific speed is the speed of a geometrically similar pump delivering unit discharge against unit head. It is defined with the discharge Q, since that is what a pump delivers.
The forms with \(\sqrt{P}\) and \(H^{5/4}\) define the specific speed of a turbine, which is rated by its power output, so options B and D, and the mixed form in A, do not apply to a pump.
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