A large container holds water to a depth of 2 meters. A small hole is punched in the side of the container, 0.5 meters from the bottom. Which of the following will increase the velocity of the water flowing out of the hole (ignoring viscous effects)?

A cubical block of wooden edge I and a density$\rho$ floats in water of density$2\rho$. The lower surface of cube just touches the free end of a massless spring of force constant k fixed at the bottom of the vessel. The weight w put over the block so that it is completely immersed in water without wetting the weight is

In a horizontal pipe of varying cross-section, the pressure will be lowest where the:

According to Bernoulli's principle, as the speed of a fluid increases,

A pipe of radius $2R$ branches into three smaller pipes, each of radius $R$. If the velocity of the liquid in the larger pipe is $V$, what is the velocity of the liquid in each of the smaller pipes?

A venturi-meter is designed such that the cross-sectional area at point A is twice the cross-sectional area at point B. If the velocity of the fluid at point A is $v$, what is the velocity at point B?

A rectangular plate $2{\rm{m}} imes 3{\rm{m}}$ is immersed in water in such a way that its greatest and least depth are 6m and 4m respectively from the water surface. The total thrust on the plate is

A boat carrying a number of large stones is floating in a water tank. What would happen to the water level, if a few stones are unloaded into water?

A wooden ball of density $\rho$ is immersed in water of density ${\rho _0}$ to depth $h$ and then released. The height $H$ above the surface of water upto which the ball jump out of water is

A non-viscous, incompressible fluid flows steadily through a horizontal pipe with a varying cross-sectional area. At a point where the cross-sectional area is $A_1$, the fluid velocity is $v_1$ and the pressure is $P_1$. At another point where the area is $A_2 = A_1/2$, the velocity is $v_2$ and the pressure is $P_2$. If $\rho$ is the fluid density, which of the following expressions correctly relates $P_1$ and $P_2$?

Air flows through a cylindrical duct of radius $0.1$ m at a speed of $5$ m/s. The duct branches into $4$ smaller, identical ducts, each with a radius of $0.05$ m. What is the speed of the air in each of the smaller ducts?