Q. 28

# Water flows through a horizontal tube of variable cross section (figure 13-E7). The area of cross section at A and B are 4 mm^{2} and 2 mm^{2} respectively. If 1 cc of water enters per second through A, find (a) the speed of water at A, (b) the speed of

water at B and (c) the pressure difference P_{A} – P_{B}.

Answer :

Given, area of cross-section of tube A,

area of cross-section of tube B,

Volume of water entering A,

(a)The total volume is equal to area times velocity. Let the velocity in tube A be

(b) Let the velocity in tube B be

As the flow is steady,

(c)From Bernoulli equation we have,

Rate this question :

Water is flowing in streamline motion through a tube with its axis horizontal. Consider two points A and B in the tube at the same horizontal level.

HC Verma - Concepts of Physics Part 1Water flows through two identical tubes A and B. A volume V_{0} of water passes through the tube A and 2 V_{0} through B in a given time. Which of the following may be correct?

Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is ρi = 0.917 g cm^{-3}?

Water flows through a horizontal tube as shown in figure (13-E9). If the difference of heights of water column in the vertical tubes is 2 cm, and the areas of cross section at A and B are 4 cm^{2} and 2 cm^{2} respectively, find the rate of flow of water across any section.

HC Verma - Concepts of Physics Part 1

Water flows through a tube shown in figure (13-E8). The areas of cross section at A and B are 1 cm^{2} and 0.5 cm^{2} respectively. The height difference between A and B is 5 Cm. If the speed of water at A is 10 cm s^{-1}, find (a) the speed at B and (b) the difference in pressures at A and B.

HC Verma - Concepts of Physics Part 1

Suppose the tube in the previous problem is kept vertical with B upward. Water enters through B at the rate of 1 cm^{3} s^{-1}. Repeat parts (a), (b) and (c). Note that the Speed decreases as the water falls down.

Bernoulli theorem is based on conservation of

HC Verma - Concepts of Physics Part 1