Rate of flow of a liquid flowing through a pipe of radius r smaller and pressure gradient p/l is given by poiseuliles equation v=Tpr
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Volume per sec = L^3 T^-1
Now according to above equation
V= P r^4 / ( neta ) l
=( M L^-1 T^-2 ) ( L^4 )
-------------------------------
( M L^-1 T^-1 ) ( L )
= L^3 T^-1
Hence proved !!!
@skb
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