Equation of Continuity

IMPORTANT

Equation of Continuity: Overview

This Topic covers sub-topics such as Equation of Continuity

Important Questions on Equation of Continuity

HARD
IMPORTANT

A laminar stream is flowing vertically down from a tap of cross-section area 1 cm2. At a distance 10 below the tap, the cross-section area of the stream has reduced to 1/2 cm​2. Find the volumetric flow rate of water from the tap

MEDIUM
IMPORTANT

A cylindrical vessel open at the top is 20 cm high and 10 cm in diameter. A circular hole whose cross-sectional area 1cm2 is cut at the centre of the bottom of the vessel. Water flows from a tube above it into the vessel at the rate 100 cm3 s​-1 . Find the height of water in the vessel under steady state.

MEDIUM
IMPORTANT

Water from a tap emerges vertically downwards with an initial speed of  1.0 ms-1 . The cross - sectional area of the tap is  10-4 m2 . Assume that the pressure is constant throughout the stream of water and that the flow is streamlined. The cross - sectional area of the stream, 0.15 m below the tap would be:
(Take  g=10 ms-2 )

MEDIUM
IMPORTANT

An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum din meters of the pipes are 6.4 cm and 4.8 cm , respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is:

MEDIUM
IMPORTANT

Water from a tap emerges vertically downwards with an initial speed of 1.0 m s-1. The cross -sectional area of the tap is  10-4 m2 . Assume that the pressure is constant throughout the stream of water and that the flow is streamlined. The cross-sectional area of the stream, 0.15 m below the tap, would be:
(Take g=10 m s-2 )

EASY
IMPORTANT

Water is moving with a speed of 5.18 m s-1 through a pipe with a cross-sectional area of 4.20 cm2. The water gradually descends 9.66 m as the pipe increases in area to 7.60 cm2. The speed of flow at the lower level is

MEDIUM
IMPORTANT

Water is flowing at a speed of 1.5 m s-1 through a horizontal tube of cross-sectional area 10-2 m2 and you are trying to stop the flow by your palm. Assuming that the water stops immediately after hitting the palm, the minimum force that you must exert should be (density of water =103 kg m-3)

EASY
IMPORTANT

Water is poured in a vessel at a constant rate β m3 s-1. There is a small hole of the area α at the bottom of the vessel. The maximum level of water in the vessel is proportional to

EASY
IMPORTANT

The velocity of water flowing in a non-uniform tube is 20 cm s-1 at a point where the tube radius is 0.2 cm. The velocity at another point, where the radius is 0.1 cm is

EASY
IMPORTANT

Water is flowing inside a tube of an uniform radius ratio of radius of entry and exit terminals of the tube is 3:2. Then the ratio of velocities at entry and exit terminals will be

EASY
IMPORTANT

For a fluid which is flowing steadily, the level in the vertical tubes is best represented by

MEDIUM
IMPORTANT

An incompressible liquid flows through a horizontal tube as shown in the figure. Then the velocity 'v of the fluid is

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HARD
IMPORTANT

There is a hole of area A at the bottom of cylindrical vessel. Water is filled up to a height h and water flows out in t second. If water is filled to a height 4h, it will flow out in time equal to

EASY
IMPORTANT

A liquid flows in a tube from left to right as shown in figure. A1 and A2 are the cross-section of the portions of the tube as shown. Then the ratio of speeds v1v2  will be

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EASY
IMPORTANT

In the following fig. Is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm,1 cm and 2 cm. It can be said that the

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HARD
IMPORTANT

If the velocity head of a stream of water is equal to 10 cm, then its speed of flow is approximately ( in m/s)

(Take 2=1.4)

EASY
IMPORTANT

In the given figure, the velocity v3 ( in m s-1) will be

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EASY
IMPORTANT

An ideal fluid is flowing in two pipes of the same cross-sectional pipe area. Both the pipes are connected with two vertical tubes, of length h1 and h2 as shown in the figure. The flow is streamline in both pipes. If the velocity of the fluid at A, B, and C are 2 m/s, 4 m/s, and 4 m/s respectively, the velocity of the fluid at D (in m/s) is -
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HARD
IMPORTANT

The cylindrical tube of a spray pump has a cross-section of 8.0 cm2 one end of which has 40 fine holes each of diameter 1.0 mm. If the liquid flow inside the tube is 1.5 m/min, what is the speed of ejection of the liquid through the holes?

EASY
IMPORTANT

A horizontal pipe has a cross-section of 10 cm2 in one region and of 5 cm2 in another. The water velocity at the first is 5 m s1 and the pressure in the second is 2×105. The pressure of water in 1 st region is given by 237.5×10α Pa. Then the value of α is.