If the pressure difference across a capillary is doubled and the radius is halved, keeping other factors constant, the volume flow rate will become:

A viscous liquid flows through a horizontal pipe of varying cross-section. At point A, the radius is 'r' and the velocity is 'v'. At point B, the radius is 'r/2'. Ignoring any energy losses due to viscosity, what is the pressure difference between points A and B?

Poiseuille's equation assumes laminar flow. Which of the following best describes laminar flow?

If the length of a tube is doubled, while keeping all other factors constant, how will the flow rate of a liquid through the tube change according to Poiseuille's equation?

Two capillaries of same length and radii in the ratio $1:2$ are connected in series. A liquid flow through Them in streamlined condition. If the pressure across the two extreme ends of the combination is $1m$ of water, the pressure difference across first capillary is

According to Poiseuille's equation, if the viscosity of a fluid flowing through a tube is doubled, while all other factors are kept constant, the flow rate will:

Two capillaries of same length but different radii $r_1$ and $r_2$ are connected in series. The pressure difference across the first capillary is $\Delta P_1$ and across the second is $\Delta P_2$. If the rate of flow of liquid through the combination is $Q$, and $r_1 = 2r_2$, then the ratio $\Delta P_1/\Delta P_2$ is:

A hole in the bottom of the tank having water. If total pressure at bottom is 3 atm (1 ${\rm{atm}} = {10^5}{\rm{N}}{{\rm{m}}^{ - 2}}$), then velocity of water flowing from hole is

A liquid of density 800 kg ${{\rm{m}}^3}$is filled in a tank open at the top. The pressure of the liquid at the bottom of the tank is 6.4 atm. The velocity of efflux through a hole at the bottom is(1 atm = ${10^5}$ ${\rm{N}}{{\rm{m}}^{ - 2}}$)

The level of water in a tank is 5 m high. A hole of area $10{\rm{c}}{{\rm{m}}^2}$ is made in the bottom of the tank. The rate of leakage of water from the hole is

A wooden ball of density D is immersed in water of density d to a depth h below the surface of water and then released. Upto what height will then ball jump out of water?