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Q. No.A tube of length \(L\) is shown in the figure. The radius of cross section at the point \((1)\) is \(2~\text{cm}\) and at the point \((2)\) is \(1~\text{cm},\) respectively. If the velocity of water entering at point \((1)\) is \(2~\text{m/s},\) then velocity of water leaving the point \((2)\) will be:
1. \(4~\text{m/s}\)
2. \(8~\text{m/s}\)
3. \(6~\text{m/s}\)
4. \(2~\text{m/s}\)
1. \(4~\text{m/s}\)
2. \(8~\text{m/s}\)
3. \(6~\text{m/s}\)
4. \(2~\text{m/s}\)
Subtopic: Â Equation of Continuity |
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Level 1: 80%+
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A water spray gun is attached a hose of cross sectional area \(30~\text{cm}^2.\) The gun comprises of \(10\) perforations each of cross sectional area of \(15~\text{mm}^{2}.\) If the water flows in the hose with the speed of \(50~\text{cm/s},\) calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)
1. \(100~\text{m/s}\)
2. \(10~\text{m/s}\)
3. \(1000~\text{m/s}\)
4. \(15\times 10^{2}~\text{m/s}\)
1. \(100~\text{m/s}\)
2. \(10~\text{m/s}\)
3. \(1000~\text{m/s}\)
4. \(15\times 10^{2}~\text{m/s}\)
Subtopic: Â Equation of Continuity |
Level 4: Below 35%
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An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are \(6.4~\text{cm}\) and \(4.8~\text{cm},\) respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is:
1. \(\dfrac{3}{4}\)
2. \(\dfrac{81}{256}\)
3. \(\dfrac{\sqrt{3}}{2}\)
4. \( \dfrac{9}{16}\)
1. \(\dfrac{3}{4}\)
2. \(\dfrac{81}{256}\)
3. \(\dfrac{\sqrt{3}}{2}\)
4. \( \dfrac{9}{16}\)
Subtopic: Â Equation of Continuity |
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A liquid of density \(600~\text{kg/m}^3\) flowing steadily in a tube of varying cross-section. The cross-section at a point \(A\) is \(1.0~\text{cm}^2\) and that at \(B \) is \(20~\text{mm}^2\). Both the points \(A\) and \(B\) are in same horizontal plane, the speed of the liquid at \(A\) is \(\text{cm/s}\). The difference in pressure at \(A\) and \(B\) points is: (in Pa)
1. \(18\)
2. \(144\)
3. \(36\)
4. \(72\)
1. \(18\)
2. \(144\)
3. \(36\)
4. \(72\)
Subtopic: Â Equation of Continuity |
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