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qUESTIONS

Doors of a dam are 20 m below the surface of water in the dam. If one door is opened, what will be the speed of the water that flows out of the door? (g = 9.8 m/s2)

The given figure shows a streamline flow of a non-viscous liquid having density 1000 kg/m3. The cross sectional area at point A is 2 cm2 and at point B is 1 cm2. The speed of liquid at the point A is 5 cm/s. Both points A and B are at the same horizontal level. Calculate the difference in pressure at A and B.

As shown in the given figure, a piston of cross sectional area 2 cm2 pushes the liquid out of a tube whose area at the outlet is 40 mm2. The piston is pushed at a rate of 2 cm/s. Determine the speed at which 03:12the fluid leaves the tube.

A rectangular wire frame of size 2 cm × 2 cm, is dipped in a soap solution and taken out. A soap film is formed, if the size of the film is changed to 3 cm × 3 cm, calculate the work done in the process. The surface tension of soap film is 3 × 10-2 N/m.

How much work is required to form a bubble of 2 cm radius from the soap solution having surface tension 0.07 N/m.

A drop of mercury of radius 0.2 cm is broken into 8 droplets of the same size. Find the work done if the surface tension of mercury is 435.5 dyne/cm.

Twenty seven droplets of water, each of radius 0.1 mm coalesce into a single drop. Find the change in surface energy. Surface tension of water is 0.072 N/m.

An air bubble of radius 0.2 mm is situated just below the water surface. Calculate the gauge pressure. Surface tension of water = 7.2 × 10-2 N/m.

Calculate the rise of water inside a clean glass capillary tube of radius 0.1 mm, when immersed in water of surface tension 7 × 10-2 N/m. The angle of contact between water and glass is zero, density of water = 1000 kg/m3, g = 9.8 m/s2.

The pressure of water inside the closed pipe is 3 × 105 N/m2. This pressure reduces to 2 × 105 N/m2 on opening the valve of the pipe. Calculate the speed of water flowing through the pipe. (Density of water = 1000 kg/m3).

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