Questions in Mechanical Properties of Fluids

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	The rate of flow of liquid in a tube of radius $r$, length $l$, whose ends are maintained at a pressure difference P is $V=\frac{\pi QP\,{{r}^{4}}}{\eta l}$ where $\eta $ is coefficient of the viscosity and Q is
	In Poiseuilli's method of determination of coefficient of viscosity, the physical quantity that requires greater accuracy in measurement is
	Two capillary tubes of the same length but different radii $r_1$ and $r_2$ are fitted in parallel to the bottom of a vessel. The pressure head is $P$. What should be the radius of a single tube that can replace the two tubes so that the rate of flow is same as before
	Two capillaries of same length and radii in the ratio 1 : 2 are connected in series. A liquid flows through them in streamlined condition. If the pressure across the two extreme ends of the combination is 1 m of water, the pressure difference across first capillary is
	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 $2P$, the rate of flow becomes
	A viscous fluid is flowing through a cylindrical tube. The velocity distribution of the fluid is best represented by the diagram
	Water is flowing in a pipe of diameter 4 cm with a velocity 3 m/s. The water then enters into a tube of diameter 2 cm. The velocity of water in the other pipe is
	Two capillary of length $L$ and $2L$ and of radius $R$ and $2R$ are connected in series. The net rate of flow of fluid through them will be (given rate of the flow through single capillary, $X=\pi P{{R}^{4}}/8\eta L)$
	When a body falls in air, the resistance of air depends to a great extent on the shape of the body, 3 different shapes are given. Identify the combination of air resistances which truly represents the physical situation. (The cross sectional areas are the same).
	Water falls from a tap, down the streamline

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