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Q. No.An ideal liquid flows through a horizontal tube, as shown in the figure. The cross-sectional areas at ends \(A\) and \(B\) are \(2~\text{mm}^2\) and \(4~\text{mm}^2, \) respectively. If the velocity of the liquid at \(A\) is \(4~\text{m/s},\) the velocity of the liquid at \(B\) will be:
| 1. | \(4~\text{m/s}\) | 2. | \(2~\text{m/s}\) |
| 3. | \(8~\text{m/s}\) | 4. | \(1~\text{m/s}\) |
Subtopic: Â Equation of Continuity |
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Level 1: 80%+
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A large open tank has two holes in the wall. One is a square hole of side \(L\) at a depth \(y\) from the top and the other is a circular hole of radius \(R\) at a depth of \(4y\) from the top. When the tank is completely filled with water, the quantity of water flowing out per second from both the holes is the same. Then \(R\) is equal to:
| 1. | \({2}\mathit{\pi}{L}\) | 2. | \(\dfrac{L}{\sqrt{{2}\mathit{\pi}}}\) |
| 3. | \(L\) | 4. | \(\dfrac{L}{{2}\mathit{\pi}}\) |
Subtopic: Â Equation of Continuity |
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An incompressible fluid flows steadily through a cylindrical pipe which has radius 2r at point A and radius r at B further along the flow direction. If the velocity at point A is v, its velocity at point B is
1. 2v
2. v
3. v/2
4. 4v
Subtopic: Â Equation of Continuity |
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Water is flowing through a tube of the non-uniform cross-section. The ratio of the radius at the entry and exit end of the pipe is \(3:2\). Then the ratio of velocities at entry and exit of liquid is:
1. \(4:9\)
2. \(9:4\)
3. \(8:27\)
4. \(1:1\)
Subtopic: Â Equation of Continuity |
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An incompressible liquid flows through a pipe of radius \(4\) cm. The flow rate is \(3.14\times 10^{-2}\) m3/s. What is the approximate average velocity of the fluid?
| 1. | \(2\) m/s | 2. | \(4\) m/s |
| 3. | \(5\) m/s | 4. | \(6\) m/s |
Subtopic: Â Equation of Continuity |
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Level 2: 60%+
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Water is flowing through a tube of radius \({r}\) with a speed \({v}\). If this tube is joined to another tube of radius \(\dfrac{{r}}{2},\) what is the speed of water in the second tube?
| 1. | \(\dfrac{{v}}{4}\) | 2. | \(\dfrac{{v}}{2}\) |
| 3. | \(2{v}\) | 4. | \(4{v}\) |
Subtopic: Â Equation of Continuity |
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