Experts please answer the questions completely. And no links please.

Experts please answer the questions completely. And no links please. b-eeb S

Dear Student ,
As poiseuille formula is given by:-
V=πPr48ηl
Dimension of pressure:-  P=Fa=MLT-2L2=[ML-1T-2​]
Dimension of r4=[L4​]
Dimension of l = [L]
As coefficient of viscocity(η)=Tangential stressVelocity gradient=F/Av/l=FlvA=[MLT-2][L]/[LT-1][L2]=[ML-1T-1]
Put the dimensions of r4,l,p and η in the poiseuille's formula:-
we get:-
V=[M0L3T-1]
As V is the volume passing per second, the dimensions are equated.
Kindly ask different question in different posts only .
Regards

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