Given, density of liquid =ρ viscosity =η Time of flow =t, Length of tube =L Radius of cross-section =R Pressure difference between ends =p According to Poiseuille's formula, the rate of flow of liquid through a horizontal tube =
Volume of liquid flow
Time taken
i.e. Q=
V
t
=
π
8
pR4
πL
∴V=
π
8
pR4
πL
t (where
π
8
is a constant.) Hence, V∝
pR4t
ηL
So, the option (c) is correct, where volume of flow of liquid is proportional to