Viscocity
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361360 Water flows in a streamlined manner through a capillary tube of radius \(a\), the pressure difference being \(P\) and the rate of flow \(Q\). If the radius is reduced to \(a / 2\) and the pressure increased to \(2 P\), the rate of flow becomes

1 \(Q\)
2 \(4 Q\)
3 \(\dfrac{Q}{8}\)
4 \(\dfrac{Q}{4}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361361 The formula for the resistance of a fluid is

1 \(R=\dfrac{8 \eta l}{\pi r^{2}}\)
2 \(R=\dfrac{\pi r^{4}}{8 \eta l}\)
3 \(R=\dfrac{8 \eta l}{\pi r^{4}}\)
4 \(R=\dfrac{8 \eta l}{\pi r^{3}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361362 A tube of length \(l\) and radius \(R\) carries a steady flow of fluid whose density is \(\rho\) and viscosity \(\eta\). The fluid flow velocity depends on the distance \(r\) from the axis of the tube as \(v=v_{0}\left(1-r^{2} / R^{2}\right)\). Find the mass of the fluid flowing across the section of the tube per unit time.

1 \(\frac{{\pi \rho {v_0}{R^3}}}{3}\)
2 \(2\pi \rho {v_0}{R^2}\)
3 \(\frac{{\pi \rho {v_0}{R^2}}}{2}\)
4 \(\frac{{\pi \rho {v_0}{R^3}}}{4}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361363 Which factor controls the better flow rate of a liquid through the syringe?

1 The pressure exerted by the thumb
2 The length of the needle
3 The nature of the liquid
4 The radius of the syringe
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361360 Water flows in a streamlined manner through a capillary tube of radius \(a\), the pressure difference being \(P\) and the rate of flow \(Q\). If the radius is reduced to \(a / 2\) and the pressure increased to \(2 P\), the rate of flow becomes

1 \(Q\)
2 \(4 Q\)
3 \(\dfrac{Q}{8}\)
4 \(\dfrac{Q}{4}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361361 The formula for the resistance of a fluid is

1 \(R=\dfrac{8 \eta l}{\pi r^{2}}\)
2 \(R=\dfrac{\pi r^{4}}{8 \eta l}\)
3 \(R=\dfrac{8 \eta l}{\pi r^{4}}\)
4 \(R=\dfrac{8 \eta l}{\pi r^{3}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361362 A tube of length \(l\) and radius \(R\) carries a steady flow of fluid whose density is \(\rho\) and viscosity \(\eta\). The fluid flow velocity depends on the distance \(r\) from the axis of the tube as \(v=v_{0}\left(1-r^{2} / R^{2}\right)\). Find the mass of the fluid flowing across the section of the tube per unit time.

1 \(\frac{{\pi \rho {v_0}{R^3}}}{3}\)
2 \(2\pi \rho {v_0}{R^2}\)
3 \(\frac{{\pi \rho {v_0}{R^2}}}{2}\)
4 \(\frac{{\pi \rho {v_0}{R^3}}}{4}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361363 Which factor controls the better flow rate of a liquid through the syringe?

1 The pressure exerted by the thumb
2 The length of the needle
3 The nature of the liquid
4 The radius of the syringe
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361360 Water flows in a streamlined manner through a capillary tube of radius \(a\), the pressure difference being \(P\) and the rate of flow \(Q\). If the radius is reduced to \(a / 2\) and the pressure increased to \(2 P\), the rate of flow becomes

1 \(Q\)
2 \(4 Q\)
3 \(\dfrac{Q}{8}\)
4 \(\dfrac{Q}{4}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361361 The formula for the resistance of a fluid is

1 \(R=\dfrac{8 \eta l}{\pi r^{2}}\)
2 \(R=\dfrac{\pi r^{4}}{8 \eta l}\)
3 \(R=\dfrac{8 \eta l}{\pi r^{4}}\)
4 \(R=\dfrac{8 \eta l}{\pi r^{3}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361362 A tube of length \(l\) and radius \(R\) carries a steady flow of fluid whose density is \(\rho\) and viscosity \(\eta\). The fluid flow velocity depends on the distance \(r\) from the axis of the tube as \(v=v_{0}\left(1-r^{2} / R^{2}\right)\). Find the mass of the fluid flowing across the section of the tube per unit time.

1 \(\frac{{\pi \rho {v_0}{R^3}}}{3}\)
2 \(2\pi \rho {v_0}{R^2}\)
3 \(\frac{{\pi \rho {v_0}{R^2}}}{2}\)
4 \(\frac{{\pi \rho {v_0}{R^3}}}{4}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361363 Which factor controls the better flow rate of a liquid through the syringe?

1 The pressure exerted by the thumb
2 The length of the needle
3 The nature of the liquid
4 The radius of the syringe
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361360 Water flows in a streamlined manner through a capillary tube of radius \(a\), the pressure difference being \(P\) and the rate of flow \(Q\). If the radius is reduced to \(a / 2\) and the pressure increased to \(2 P\), the rate of flow becomes

1 \(Q\)
2 \(4 Q\)
3 \(\dfrac{Q}{8}\)
4 \(\dfrac{Q}{4}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361361 The formula for the resistance of a fluid is

1 \(R=\dfrac{8 \eta l}{\pi r^{2}}\)
2 \(R=\dfrac{\pi r^{4}}{8 \eta l}\)
3 \(R=\dfrac{8 \eta l}{\pi r^{4}}\)
4 \(R=\dfrac{8 \eta l}{\pi r^{3}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361362 A tube of length \(l\) and radius \(R\) carries a steady flow of fluid whose density is \(\rho\) and viscosity \(\eta\). The fluid flow velocity depends on the distance \(r\) from the axis of the tube as \(v=v_{0}\left(1-r^{2} / R^{2}\right)\). Find the mass of the fluid flowing across the section of the tube per unit time.

1 \(\frac{{\pi \rho {v_0}{R^3}}}{3}\)
2 \(2\pi \rho {v_0}{R^2}\)
3 \(\frac{{\pi \rho {v_0}{R^2}}}{2}\)
4 \(\frac{{\pi \rho {v_0}{R^3}}}{4}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361363 Which factor controls the better flow rate of a liquid through the syringe?

1 The pressure exerted by the thumb
2 The length of the needle
3 The nature of the liquid
4 The radius of the syringe