question_answer

Given power 'P' of a pump, the head 'H' and the discharge 'Q' and the specific weight \['\omega '\] of the liquid, dimensional analysis would lead to the result that 'P' is proportional to:

A) \[{{H}^{1/2}}\,\,{{Q}^{2}}w\]                      

B) \[{{H}^{1/2}}\,\,Q\,w\]

C) \[H\,{{Q}^{1/2}}\,w\]              

D) \[H\,Q\,w\]